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cAKoPU>U
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Beginning guU r1Ij
1. In this paper, we focus on the need for @F3-Ugm
2. This paper proceeds as follow. SILvqm
3. The structure of the paper is as follows. O{i_?V_
4. In this paper, we shall first briefly introduce fuzzy sets and related g~^{-6Vg
concepts [oU+b(
5. To begin with we will provide a brief background on the OnPy8mC
Introduction _/sf@R
1. This will be followed by a description of the fuzzy nature of the [K)1!KK,L
problem and a detailed presentation of how the required $*v 20
membership functions are defined. ![P(B0Ct/
2. Details on xx and xx are discussed in later sections. |3<ehvKy
3. In the next section, after a statement of the basic problem, various $R$c1C'oX
situations involving possibility knowledge are investigated: first, an X%9xuc
entirely possibility model is proposed; then the cases of a fuzzy lPFdQ8M
service time with stochastic arrivals and non-fuzzy service rule is R
!%m5Q?5
studied; lastly, fuzzy service rule are considered. &zh+:TRm
Review i!d7,>l+Q~
1. This review is followed by an introduction. 1=q?#PQ
2. A brief summary of some of the relevant concepts in xxx and xxx is iq^L~RW5e
presented in Section 2. 7f\^VG
3. In the next section, a brief review of the .... is given. SJ
[@fUxO)
4. In the next section, a short review of ... is given with special regard u<y\iZ[
to ... ;&^"q{m
5. Section 2 reviews relevant research related to xx. :D+SY
6. Section 1.1 briefly surveys the motivation for a methodology of i{FC1tVeL_
action, while 1.2 looks at the difficulties posed by the complexity of hv:Z%D |S
systems and outlines the need for development of possibility dYqDL<se/I
methods. q' V{vFfY%
Body =ci5&B?
1. Section 1 defines the notion of robustness, and argues for its TnU$L3k
5B.??;xtaV
importance. $9_.Q/9>
2. Section 1 devoted to the basic aspects of the FLC decision-making &N7:k+E
logic. ^57fHlw
3. Section 2 gives the background of the problem which includes xxx ]ifHA# z`~
4. Section 2 discusses some problems with and approaches to, y yR8VO{
natural language understanding. :kx#];2i
5. Section 2 explains how flexibility which often ... can be expressed iCSM1W3
in terms of fuzzy time-window &CmkNm_B
6. Section 3 discusses the aspects of fuzzy set theory that are used in 6dy4{i
the ... b oOw
K?
7. Section 3 describes the system itself in a general way, including O/^w!
:z'
the ….. and also discusses how to evaluate system performance. ^oB1 &G
8. Section 3 describes a new measure of xx. |ShRxE3@'
9. Section 3 demonstrates the use of fuzzy possibility theory in the ^-
;Z8M
analysis of xx. ft qW3VW
10. Section 3 is a fine description of fuzzy formulation of human -*q2Y^A^l
decision. WblV`"~e
11. Section 3 is developed to the modeling and processing of fuzzy U?ic$J]N
decision rules \fR:+rbQ&|
12. The main idea of the FLC is described in Section 3 while Section 4 +;iesULXn
describes the xx strategies. F}.TT=((8
13. Section 3 and 4 show experimental studies for verifying the :::f,aCAu
proposed model. jTgh+j]AP
14. Section 4 discusses a previous fuzzy set-based approach to cost bNU^tL3QZ
variance investigation. 7%!KAtc
15. Section 4 gives a specific example of xxx. GO3YXO33
16. Section 4 is the experimental study to make a fuzzy model of : 8<^rP
memory process. 7CMgvH)O
17. Section 4 contains a discussion of the implication of the results of y]Tn#4 ,/
Section 2 and 3. RcM0VbR"EU
18. Section 4 applies this fuzzy measure to the analysis of xx and iC+H;s5<
illustrate its use on experimental data. P1 >X5:
19. Section 5 presents the primary results of the paper: a fuzzy set {-`
O
E
model .. )tch>.EQ_
gj;G:;1m
20. Section 5 contains some conclusions plus some ideas for further 6i9I 4*'
work. jtr=8OiL
21. Section 6 illustrates the model with an example. '|?r&-5 h
22. Various ways of justification and the reasons for their choice are &Q+V I/p
discussed very briefly in Section 2. 7uNI
23. In Section 2 are presented the block diagram expression of a EoCwS
whole model 9cj-v}5j
of human DM system ]qHO{b4k
24. In Section 2 we shall list a collection of basic assumptions which 2A
,36,
a ... scheme must satisfy. PW4Wn`u
25. In Section 2 of this paper, we present representation and
}PL
uniqueness theorems for the fundamental measurement of fuzziness CW YJ<27v{
when the domain of discourse is order-dense. HbDB?s<
26. In Section 3, we describe the preliminary results of an empirical (UXB#I~
study W)hby
`k
currently in progress to verify the measurement model and to }TL"v|ny6;
construct membership functions. #8OqX*/
27. In Section 5 is analyzed the inference process through the two e,UgTxZ
kinds of inference experiments... rWqA)j*!
This Section e'&{KD,-T
1. In this section, the characteristics and environment under which h!~yYNQ"
MRP is designed are described. 9Wrclai
2. We will provide in this section basic terminologies and notations
e90z(EF?0
which are necessary for the understanding of subsequent results. qJj5J;k
Next Section a<.@+sj{
2. The next section describes the mathematics that goes into the 0eP~F2<bC
computer implementation of such fuzzy logic statements. e)"cm;BJ^P
3. However, it is cumbersome for this purpose and in practical Bx>@HU
applications the formulae were rearranged and simplified as ,-kZ5&r
discussed in the next section. 1Tr=*b %f
4. The three components will be described in the next two section, \_bX2Lg
and an example of xx analysis of a computer information system will .R5
z>:A
g\'84:*J\
then illustrate their use. =x>k:l~s
5. We can interpret the results of Experiments I and II as in the 5GkM7Zu!{j
following sections. d*HAKXd&:j
6. The next section summarizes the method in a from that is useful cTp
+M L
for arguments based on xx iSlVe~ef
Summary b\Ub<pE
1. This paper concludes with a discussion of future research K%B i8d
consideration in section 5. th,qq
2. Section 5 summarizes the results of this investigation. _Hk`e}}
3. Section 5 gives the conclusions and future directions of research. r1]^#&V;MC
4. Section 7 provides a summary and a discussion of some extensions H l@rS
of the paper. Y~!@
5. Finally, conclusions and future work are summarized vcHDFi
6. The basic questions posed above are then discussed and jtwO\6 t&
conclusions are drawn. )j'b7)W\
7. Section 7 is the conclusion of the paper. 9h8G2J
o
Chapter 0. Abstract \
PqV|
1. A basic problem in the design of xx is presented by the choice of a f9$q.a*
xx rate for the measurement of experimental variables. N}=-+E|
2. This paper examines a new measure of xx in xx based on fuzzy v5o%y:~
mathematics which overcomes the difficulties found in other xx OHw6#N$\
measures. G'Y|MCKz>
3. This paper describes a system for the analysis of the xx. X1"nq]chGy
4. The method involves the construction of xx from fuzzy relations. XQA2uR4h
5. The procedure is useful in analyzing how groups reach a decision. 14R))Dz"
6. The technique used is to employ a newly developed and versatile .B*)A.
xx algorithm. 0% /M& N
7. The usefulness of xx is also considered. K VCS(oN
8. A brief methodology used in xx is discussed. 5cU8GgN`
9. The analysis is useful in xx and xx problem. ;Mz]uk
10. A model is developed for a xx analysis using fuzzy matrices. *QX$Mo^E
11. Algorithms to combine these estimates and produce a xx are LFC k6 R
c
LJCLKJ
presented and justified. R)=<q]Ms
12. The use of the method is discussed and an example is given. K5$ y
13. Results of an experimental applications of this xx analysis q3:tZoeXV
procedure are given to illustrate the proposed technique. a/ZfPl0Ns[
14. This paper analyses problems in 0/Csc\Xl
15. This paper outlines the functions carried out by ... fOJyY[
16. This paper includes an illustration of the ... !v-(O"a
17. This paper provides an overview and information useful for 19S,>
approaching @;0Ep0[
18. Emphasis is placed on the construction of a criterion function by {f)p|)
which the xx in achieving a hierarchical system of objectives are epnDvz\
evaluated. 7"NUof?i
19. The main emphasis is placed on the problem of xx l},%g%}iMU
20. Our proposed model is verified through experimental study. }7V/(K
21. The experimental results reveal interesting examples of fuzzy ,oCr6 ]
phases of: xx, xx Wq4?`{
22. The compatibility of a project in terms of cost, and xx are likewise wcO+P7g
represented by linguistic variables. w3*JVIQC
23. A didactic example is included to illustrate the computational x~W&a*WNT
procedure V;m3=k0U
Chapter 1. Introduction O@[
q./VV,
Time ukw'$Yt2
1. Over the course of the past 30 years, .. has emerged form intuitive +RbCa
c
2. Technological revolutions have recently hit the industrial world /<})+=>6f
3. The advent of ... systems for has had a significant impact on the 7
MfpZgC
4. The development of ... is explored a}wB7B;,g
5. During the past decade, the theory of fuzzy sets has developed in a k: {$M yK
variety of directions fROhn}<**[
6.The concept of xx was investigated quite intensively in recent years Rzb] mM
7. There has been a turning point in ... methodology in accordance kxKBI{L
with the advent of ...
}, ]W/
8. A major concern in ... today is to continue to improve... Gm*i='f!?
9. A xx is a latecomer in the part representation arena. 4b 4nFRnH
d=xweU<
10. At the time of this writing, there is still no standard way of xx 'j}%ec1
11. Although a lot of effort is being spent on improving these -8-Aqh8|
weaknesses, the efficient and effective method has yet to be md<%Z4+
developed. ;X\!*Loe
12. The pioneer work can be traced to xx [1965]. -tDmzuD6
13. To date, none of the methods developed is perfect and all are far eX}u
ZR
from ready to be used in commercial systems. cP(/+
/9
Objective / Goal / Purpose ')go/y`YK
1. The purpose of the inference engine can be outlined as follows: [*,`a]z-Q
2. The ultimate goal of the xx system is to allow the non-experts to 1(C%/g#"
utilize the existing knowledge in the area of manual handling of loads, 1MOQ/N2BR
and to provide intelligent, computer-aided instruction for xxx. 3C.bzw^
3. The paper concerns the development of a xx Y,?rykRj
4. The scope of this research lies in c,e
0+
5. The main theme of the paper is the application of rule-based #SQFI;zj
decision making. W<kJ%42^j
6. These objectives are to be met with such thoroughness and zX(p\NU
confidence as to permit ... m\
j'7mZ1
7. The objectives of the ... operations study are as follows: 7Sr7a{
8. The primary purpose/consideration/objective of y\ Zx{A[
9. The ultimate goal of this concept is to provide 3<?#*z4]_
10. The main objective of such a ... system is to y&B~UeB:q
11. The aim of this paper is to provide methods to construct such 3
%'$AM}+s
probability distribution. iYBs )
12. In order to achieve these objectives, an xx must meet the Pr/K5aJeg
following requirements: )mJl-u[0+
13. In order to take advantage of their similarity 7+=fD|Cl
14. more research is still required before final goal of ... can be e<>(c7bF
completed .\qZkk}2l
15. In this trial, the objective is to generate...
7zT]\AnO
16. for the sake of concentrating on ... research issues r6QNs1f~.
17. A major goal of this report is to extend the utilization of a recently !3}vl
Y1
developed procedure for the xx. wSnY;Z9W_
(+(YO\ng6
18. For an illustrative purpose, four well-known OR problems are \A
Y7%>
studied in presence of fuzzy data: xx. 6O!&!
19. A major thrust of the paper is to discuss approaches and m^% [
strategies for structuring ..methods P$4G2>D8dg
20. This illustration points out the need to specify *EvnN:
21. The ultimate goal is both descriptive and prescriptive. %5NfF65'
22. Chapter 2. Literature Review :dLfM)8}
23. A wealth of information is to be found in the statistics literature, O3PE
w4yA
for example, regarding xx FhHcS
>]:.
24. A considerable amount of research has been done .. during the c4k3|=f
last decade D<]z.33
25. A great number of studies report on the treatment of n
PD5/xW
uncertainties associated with xx. g,@0 ;uVq
26. There is considerable amount of literature on planning 2r^|
27. However, these studies do not provide much attention to V \,Z (
uncertainty in xx. ^duNEu0*
28. Since then, the subject has been extensively explored and it is "}Of
f
still under investigation as well in methodological aspects as in 2xN1=ug
concrete applications. _p"
nR
29. Many research studies have been carried out on this topic. a2 e-Q({
30. Problem of xx draws recently more and more attention of system |<t"O
analysis. za`
31. Attempts to resolve this dilemma have resulted in the
lU`]yL
development of _=Ed>2M)no
32. Many complex processes unfortunately, do not yield to this llXyM */
design procedure and have, therefore, not yet been automated. , |,DXw
33. Most of the methods developed so far are deterministic and /or :UGc6
probabilistic in nature. ( 6|S42
34. The central issue in all these studies is to jO)UK.H#
35. The problem of xx has been studied by other investigators, M^JRHpTn
however, these studies have been based upon classical statistical q{gt2OWqX
approaches. %]S~PKx
36. Applied ... techniques to 03Pa; n
37. Characterized the ... system as +YVnA?r?
ua#sW
38. Developed an algorithm to 5-3`@ (/
39. Developed a system called ... which .]}kOw:(#
40. Uses an iterative algorithm to deduce o
_>id^$>B
41. Emphasized the need to |d\rCq >
42. Identifies six key issues surrounding high technology STmn%&
43. A comprehensive study of the... has been undertaken *$mDu,'8
44. Much work has been reported recently in these filed GInU7y904
45. Proposed/Presented/State that/Described/Illustrated/ 1sKKmtgH
Indicated/Has shown / showed/Address/Highlights p_T>"v
46. Point out that the problem of \lwYDPY:
47. A study on ...was done / developed by [] 4X,fb`
48. Previous work, such as [] and [], deal only with "X4L+]"$g
49. The approach taken by [] is <20rxOEnf
50. The system developed by [] consists ~"F83+RDe
51. A paper relevant to this research was published by [] ma@3BiM
52. []'s model requires consideration of... {Wp+Y9c[
53. []' model draws attention to evolution in human development Gu}
`X23
54. []'s model focuses on... z'N_9=
55. Little research has been conducted in applying ... to ]4f;%pE
56. The published information that is relevant to this research... *c'nPa$+|S
57. This study further shows that Z'sAu#C
58. Their work is based on the principle of \7M+0Ul1
59. More history of ... can be found in xx et al. [1979]. *{/
ww9fT
60. Studies have been completed to established y+D 3(Bsn
61. The ...studies indicated that V?"X0>]0
62. Though application of xx in the filed of xx has proliferated in ,'[&" Eg
recent years, effort in analyzing xx, especially xx, is lacking. u%n6!Zx
Problem / Issue / Question =*EIe z*.x
63. Unfortunately, real-world engineering problems such as 7d&_5Tj:
manufacturing planning do not fit well with this narrowly defined V/w:^@5+p
model. They tend to span broad activities and require consideration )X*?M?~\
of multiple aspects. WmU5YZ(mAq
64. Remedy / solve / alleviate these problems n#@/A
67. ... is a difficult problem, yet to be adequately resolved m# #( uSh
I,4t;4;Zk
68. Two major problems have yet to be addressed VrL==aTYXs
69. An unanswered question jwsl"zL
70. This problem in essence involves using x to obtain a solution. \~V
ZY
71. An additional research issue to be tackled is .... a^yBtb~,P
72. Some important issues in developing a ... system are discussed [e1kfw
73. The three prime issues can be summarized: zh5'oE&[yC
74. The situation leads to the problem of how to determine the ... (_&W@:"z
75. There have been many attempts to /18Z4TA
76. It is expected to be serious barrier to f:$LVpXS-
77. It offers a simple solution in a limited domain for a complex
u`E24~
problem. q^{Z"ifL
1. There are several ways to get around this problem. !eb}jL
2. As difficult as it seems to be, xx is by no means new. 5#jna9Xc
3. The problem is to recognize xx from a design representation. 4%l
@
4. A xx problem can trace its roots to xx. uP,{yna(
5. xx [1987] used a heuristic approach to simplify the complexity of ml7nt0{
the problem. :,.g_@wvG
6. Several problems are associated with them. EJqzh
i5
7. Although some progress has been made in this area, at least two npcB+6
major obstacles must be overcome before a fully automated system _n9+(X3
can be realized. ** \B P,]}
8. Most problems in practice are complicated }z/;^``
9. More problem surface here. H^jFvAI,8
10. Hamper effort toward a xx system cv fh:~L
11. In order to overcome the limitations due to incomplete and wk {9
imprecise xx knowledge, a xx program has been developed, which <:#O*Y{
bases its knowledge upon the statistical analysis of a sample )tQG5.to
population of xx p%304oP6
12. The above difficulties are real challenges faced by researchers ,#^<0u+zrF
attempting to develop ^+Ez[S{8
13. This type of mapping raises no controversy to the issue of g*UI~rp
membership function determination. Q(lj&!?1k
14. However, attempts to quantify the xx have met both theoretical \ iL&Aq}BO
and empirical problems. T!6H5>zA
oOk.Fq
15. It has become apparent that in order to apply this new .8is!TT
methodological framework to real-world problems and data, we have V43pZ]YZ>
to pay attention to the problems of xx and xx. Wpom {-
Chapter 3. Proposed methodology b6D}GuW
Assumption RVN"lDGA
1. In the case when the assumption of a xx seems to be too U*8;ZXi
restrictive or inadequate, the formulation with Fuzzy termination 3j.Ft*
SV
time, i.e. given by a fuzzy set in the space of control stages, may be %hU8ycI*h
applied. /'1UfjW>
2. We assume here the fuzzy constraints to be state-dependent, and fys@%PZq
the fuzzy goal to be the same for all the control states, xx, which $Aww5G5e
stems from the problem's nature. s-r$%9o5
3. An approach to the solution of this problem is presented under the
/U<-N'|
assumption that the sampling rate Decision can be made prior to the HzB&+c?Z
execution of the experiment, as opposed to being made while the >HnD'y*
experiment is in progress. x]%e_
4. Another assumption made above is that there are precise odds at 87EI<\mP
which the expert is indifferent. oaI7j=Gp
5. Main simplifying assumptions are: y]=v+Q*+
6. This, in our view, is a questionable assumption. f+0dwlIlC$
Outline / Structure / Module IoNZ'g?d
1. An outline of the research 3y> .1
2. Information is incorporated within the scheme yhEU*\:
3. Is built into ... structure oUZwZ_yKW
4. A nice modular structure. 4UoUuKzt
5. The principles of ... are applied as modularized criteria '#t"^E2$
Classification C 0*k@kGy
1. A xx system comprises three main components: 5L|yF"TI#
2. Must decompose the original .. into a set of .. .CI]8O"3y
3. Consists of the following steps: 8x'rNb
4. This is summarized in the following steps: @Th.=
U*/
5. Can be broadly classified into the following areas: Q"VFcp:
6. Can be characterized by its function of effectively processing the i>T{s-3v
7. Can allow further breadth of application of ...into more $${ebt
8. The following steps should be followed .)})8csl.d
9. xx can be classified by a different ways. M O* m@
10. Based on the xx, one may classify xx into the following: 2DTH|Yv
11. This catalog may change due to wear, breakage, and purchasing. \ ;Hj,z\
System i1vBg}WHN
1. Unlike many conventional program, expert systems do not (W3R3>;
usually deal with problem for which there is clearly a right or wrong 8c+i+gp!
answer. VjYfnvE
2. The system consists of both ... and ... &Z=}H0y
q
3. The system has a hierarchical modular architecture organized on %Iv+Y$'3B
three levels. !i_5XcH
4. expert system domains are area of expertise lqqY5l6j
5. To develop a xx system for xx, the following factors must be zfi{SO
l
considered:
~ ;)@a
6. The system has been developed / designed to determine ?xK9
7. The system has proven to be able to )^%,\l-!
8. The domain in which an expert system operates is a particular u9mMkzgSkP
domain d^]wqn pf
9. The system comprises a ... with }}grJh>tGg
10. The system is [feature-oriented ] / based on the ... technique ,X$S4>
11. The system environment must be relatively stable ixiRFBUcF~
12. The system is utilized to generate, load, store, update and 3h0w8(k;
retrieve ... Vl^jTX5N
13. The development of a xx system has two stages: xx stage and xx L=Dx$#|
stage. .vQ2w
14. The most essential part of .. system is the ... (jY.S|%
15. The successful developments in ESs have made them an =5dv38
important tool in the development of y*Ex5N~JC
16. An automated system was developed for oH6(Lq'q
17. In this case, the system can be considered to be generative. )}G
HG#D{
:Oq!.uO
18. An interactive automatic ... system ~&B_ Bswf
19. A …. is commonly thought of as a truly integrated .. system .^JID~<?#
20. Should be capable of being generated from a ... system -iH/~a
21. xx is an important part of the integrated system. M
lRgdVX
22. The model consists of four rule bases, each of which addresses a f_raICO{R
separate problem in the hierarchy of scheduling decision. ^o?.Rph|i]
23. The rule bases are linked to each other in a chin-like manner in ,8$;|#d
the sense that the consequent of one rule base constitutes a part of ZP%^.wxC
the antecedent of the next rule base. X*S|aNaLWW
24. The rule base consists of all possible combinations of the !\|&E>Gy
linguistic terms associated with the linguistic variable of the Q~-g tEv+&
antecedent of a rule. OkzfQ
hC}
Computer System zI7-xqZ
1. The system has been implemented using Prolog language in an a |z{Bb
MS-DOS environment. Prolog was chosen because it offers a well {'d?vm!r
known and flexible environment in which fuzzy reasoning may be Y;#P"-y
H
easily implemented. II~D66 bF
2. The current version of the xx program when compiled with ;Rwr5
WATFOR77 results in an executable code of about 270K bytes. )QI]b4[
Typical run time, when run on a XX computer (an IBM compatible Y=}b/[s6;
machine) operating at 4.77 Mhz with 640K RAM, ranges from 10 min /5yWvra
to 2h, depending on the size (or complexity) of the problem. BT#'<!7!
3. Time consuming procedures have been implemented in ! *pK#
C-language and directly linked to the Prolog environment. vaK$j!%FE
4. The xx process, once the xx's data has been entered, requires AeUwih.
4
approximately 180 seconds. dAAE2}e
5. It should be noted that the computation was done with a 20 Hhz, \W1?Qc1]
80386..209;based microcomputer equipped with a 80387 math ^$x^JM ]/
co-processor. IS'=%qhC`
6. The computer programs used for the analyses, one based on the xx 8Cm^#S,+
method and the other based on the new method, were written in <cepRjDn
FORTRAN with a compiler that supports the math co-processor.
tb@/E
7. Lisp, Prolog give maximum flexibility but also maximizes )cOm\^
,
=VY[m-q5
development time. -?e~S\JH
l Internal representation is the way a model is represented in the ?}lCS7&
computer. zo
]7#
l An interactive menu-driven procedure is used in this study 6o,,w^
l Shell can be develop very fast at the cost of time fairly severe U'lrdc"Q
limitations. KWN&nP
+
l While there is no measurable saving of time for the case involving 0 ]NsT0M
five criteria, the saving is dramatic for the case involving 10 criteria `9$?g|
rB
-- the computation time reduces from 10 hr 40 min to about 1 min. *M KVm)Iv
l This combination is being implemented in an objected-oriented Vw)
\#6FL
programming environment (Smalltalk-80 system) to solve problems Ye(0'*-jyc
encountered in construction xxx. \8F$85g
Method / Approach / Study / Process Model / Equation /Algorithm / !})+WSs'"s
Rule / Formula / Technique 1 k
H
l A discussion is presented of a problem-solving system ~8|$KD4I
l To improve the efficiency of the method, the following approach L@[bgN`=v
may be applied. kv5D
=0r
l In order to an investigation was made to find the causes of the oA42?I ^
l Although large collections of rules and equations have been S liF$}J
complied, none are generally accepted St&XG>nWS
l This approach will be explained and discussed thoroughly in the ^{Mx?]z
body of the report. 2gFQHV
l This can be accomplished by $]%k
<|X
l This algorithm to compute the total cost can be described step by _
k>j?j-
step as follows: DpTQP u9
l The above preliminary analysis has provided important (T`x-wTl
information %`gqV9a
l Various methods have been proposed for selecting an optimum... OGae]O<
l These concepts have been applied to g[Yok`e[
l On the basis of the concept mentioned above, tc#
rL
l This can be achieved by r5F#q
l This fact suggests that a new concept =8<SKY&\X
l This was accomplished by taking ... {qh`8
}*+ca>K
l The preparatory stage is very time consuming process. >Axe7<l
l Test are performed for validity, completeness, and compatibility 7AtJ6
l There is little hope of achieving successful ... J)o~FC]b*
l There has been an increasing awareness of the potential of using sy]1Ba%
most ..so far made have not taken this approach, with the exception ..n-&(c32
of 6idYz"P %
l Only a few studies can be found. WxIP~
l It is a very tedious process to go through ~IlgcCF
l It is only when .. has been completed that .. may be effected d)q{s(<;
l The entire interpretation process is conducted in one's head. Aja'`Mu
l These approaches are sometimes very tedious. -<CBxyZa&
l Several techniques can be used ukhI'alS,
l A polynomial parametric model can be written as [the )%UO@4
following]/[follows]: _D
z4}:9
l A xx model is constructed/formulated using xx. oBIKtS*L
l A xx model represents an xx by its xx. "9R3S[
l A process decision model captures the logic essential to |%TH|?kB
l From the equation above, xx is equal to the summation of xx -LQ%)'J ZN
times the ...
N)&3(A@
l The validity of a xx model can be checked using Euler's formula. , gz:2UY#
l Given a model, one can mathematically determine whether ... or ... j>P>MdZtk
l Equations for xx need to be derived and implemented in the 5qUyOkI
system. wYS
4#7
l A number of heuristic rules have been developed for l$.C40v
l Optimum .. techniques can be made more reliable by ... so that Ue~M.LZb
l An algorithm based on the characteristic ... is used to determine &e2") 4oh
l Euler's formula states the following: MheP@ [w|@
l The completed model should agree with the formula. kjjO<x?&*
l For manufacturing purposes, a detailed and precise model of the WM*7p;t@)
object is necessary u9}=g%T
V
l Engineering design models are very well defined; therefore, $40tA
es9
l To keep the domain narrow enough to be implementable, yet wide q[**i[+%
enough to }6ec2I%`o
be useful. J`V7FlM
LXfDXXF
Point of View >a@-OJ.yOk
l from an implementation standpoint, 6uR:/PTG
l From the point of view of this application, zjB8~ku#
l From this point of view, Zadeh suggested an inference rule named v(]\o;/O
xxx (CRI for short). ZSh
RE"`
l Information is the meaningful interpretation and correlation of OG/R6k.
some aggregation of data in order to allow one to make decisions. VbJGyjx
l From a practical point of view, the computational aspects of an U")bvUIL
FLC require a simplification of the fuzzy control algorithm. #.#T+B+9
l The use of a hammer to insert screws, although partly effective, 1kvBQ1+
tends to distort, destroy, and generally defeat the purpose of using a ~S#Le
screw [Kusiak AI Implications for CIM p.129] @My-O@C>
Justification R\
<HR9
r
l We choose the so called xx in our experiment because it has .@.O*n#K
received wide acceptance and can K'Bq@6@C g
l Prolog was chosen because it offers a well known and flexible Ry r2
environment in which fuzzy reasoning may be easily implemented. wHAoO#`wn5
l The rationale behind this is that it can be much easier for an $5s?m\!jZz
estimator to rate a cost as high than to attempt to place a dollar DF P0WXbOE
value on the estimate. GUJx?V/[
l This strategy has been widely used in fuzzy control applications M')f,5i&$
since it is natural and easy to implement. }p]8'($
l A function definition expresses the membership function of a MXq+aS{
fuzzy set in a functional form, typically a bell-shaped function, etc. G;>b}\N
g
Such functions are used in FLC because they lead themselves to >01&3-r
manipulation through the use of fuzzy arithmetic. :l'61$=
l It should be noted that in our daily life most of the information on DUF
fk6#X}
which our decisions are based is linguistic rather than numerical in S[n;u-U
nature. Seen in this perspective, fuzzy control rules provide a natural PB(mUD2"r
framework for the characterization of human behavior and decisions xf_NHKZ)
analysis. [daUtK
z
l Many experts have found that fuzzy control rules provide a ,73J#
[]}E-
V
convenient way to express their domain knowledge. This explains DZ<q)EpC
why most FLCs are based on the knowledge and experience which F\^9=}b_i
are expressed in the language of fuzzy "if-the" rule. "eA4JL\%)
Chapter 4. Examples f!|7j}3
Example/ Data ]+u`E
l The data used in the following example was taken from an w@ALl#z;}
experiment in which xx was measured between x and x using a xx Bv
k 8b
technique. [K1RP.
l The data consists of over xx measurements. ]|KOc& y:I
l An example of xx is discussed and the control rules of xx are "j#;MOK
compared with a xx KzZ|{!C
l Examples of complex processes to which this technique may be <$7HX/P
applied are xx, xx, etc. b*i_'k}*<g
l The following example is constructed only for the purpose of D"UCe7
illustrating the computational procedure discussed. SM;UNIRVE
l This example clearly demonstrates that the profile of an individual <]1Z
xx, or a very small group of xx, with no enough data to be studied X`
r~cc
statistically, can be meaningfully analyzed by fuzzy possibilistic $2I^ ;5r[
methods. V9
Z
l There is no space here to go into detail on all these methods, but
HG
kL6o=
deserve a mention and the bibliography will point to detailed Y<0}z>^
references for those wishing this level of detail. *f<+yF{=A
l Note that the golf ball spotting example is used throughout the sa6/$
paper. Lmh4e
zrdH
Comparisons G)5R
iRcs
l As well, the pros and cons of these representations from a process >(T)9fKF
planning point of view will be discussed. Lh`B5
l The method of using xx to implement xx described by Zadeh 1j4tR#L
(1973) appeared more suitable AIN Fv;
l As discussed [in the previous section]/[preciously], l5;
SY
:]]#X
~J
Relation f)'mpp^
l We can not invert F' directly because it defines a many-to-one $>if@}u
mapping. f%ThS42
l The relationships appear very complicate
^W8kt
l Lifting tasks involve complex and imprecise relationship between vU(uu:U9
the task variables and the human operator's characteristics. ) oypl+y
l These methods are based on the relationship between ... and ... z.d1>w
l The fundamental concept of a fuzzy rating language is that we can ' v)@K0P
establish a relationship among terms such as high, medium, and low, H<N$z3k
and then modify these relationships. HgY [Q}7s
l This article will thus mention the latter as well as the former. tRC*@>I$
l The former two bear a close relation to a fuzzy Cartesian product.
vIzREu|5
Importance
}.DE521u
l The emphasis is on an implementation of a general approach to IJ[r!&PY
rule based decision making. Xg4iH5!E
Consideration / Attention "O (N=|b
l Careful evaluation is necessary to ensure !v fb
gK
l Such a formulation does not change further considerations. lq'MLg
l Considerable attention has been paid to ?:woUTyCv
l Attention should be paid to an important finding of this j-$F@p_2F
investigation. > a?K![R
l Caution should be exercised in this process to avoid ... dilom#2l
l Primary consideration is given to ... components, though others nY)H-u^
can be accommodated #lDW?
l After ... has been defined by ..., a carefully analysis is carried [aS<u`/g|
out/performed to determine j0wpaIp
l A number of factors such as ...need to be taken into consideration 9\ulS2d
before making the appropriate decision. gJFx#s0?6.
l It should be noted that =:"wU
l It is important to point out that ... `m")v0n3
l These considerations have heightened interest in the possibility of %iq8dAW%
providing ... qG)M8xk
MW|*Z{6*
l We should stress the fundamental importance of the xx b/soU2?^
Chapter 5. Results.
*}h#'+
Advantages / Disadvantage $*')Sma
l One of the major advantages of this new measure of xx is that it k[Ue}L|
can be applied to the experimental study of `
EdZ
l One advantage of using a .. is the ease of preparing it. )45#lE3TH
l The xx system is versatile ;@<Rh^g]
l It has a very fast decision making process AW<"3 !@
l All the algorithms involve mostly logical operations. 5Y4#aq
l It can be easily and without additional cost implemented in a UbDpSfub
microprocessor-based environment. p>=i'~lQ6
l It can reduce the waste of designing from scratch. M/a40uK
l The advantages of using a xx to represent xx are the following: IQ\5!e
l However, xx is not without its shortcomings. Y/<`C
l In most cases, the xxx shows an improvement over the existing K6EG"Vv
!
xxx. 5HC5
l Compared to the existing xx, the impacts of the xx are generally y2M]z:Y U
reduced by 5% to 9%. K0fuN)C
l The "best case" results shows a savings of 6% to 9%. *!r"+?0gN
l Most of the existing works based on xx approach can only 7CwQmVe+
recognize a xx . !nDiAjj
l Most of the above methods are computational expansive and b*)F7{/Z
limited to xx. 2|A?9aE%0
l Some other advantages of xx are the following: g#%Egb1
l The problem is the limitation of this method to a limited domain of ;DgQ8"f
parts. EC/=JlL`5
l It proved limited in application because it demanded precision in -, uT8'
system modeling that was impossible in practice. u?rs6A[h#
l There are advantages to be gained in the structuring of costs and eb>jT:
benefits, the use of xx, <nU8.?\?~
l The disadvantages of this method are also disadvantages of Wud-(19
conventional xx approaches. P%aNbMg
%v4*$E!f
l This combines the best features of both techniques l:+$K s
l Hopefully, this tool can be as the reference framework of for @TJ2
|_s6]
developing a xx platform, and helping the administration, marketing, }R!t/8K
and knowledge management activities in virtual communities. $It3}?>C'
Results 4rLc]
>
l An improvement on the result shown above can be made by based SUDvKP
on the data provided E[Q2ZqhgbP
l Discussion of these theories is beyond the scope of this review <+UJgB
A-
l Based on the information contained in this 3 MCV?"0
l The result can be categorized into nine classes !0_/=mA^
l The results are illustrated by an example yqC158 P
l The experimental results for each xx time are reported in Table 2. y@(EGfI
l From the results obtained so far, it seem that udS&$/&GH
l Because of the inaccuracy of the ..., a conclusion cannot be drawn <v!jS=T
as 3hVuC1;"
l Although much effort has been made to., this reality is far from [A'e
7Do%'
completion. V4&a+MJ@
l The results indicate that the total benefits are higher than the y eam-8
total costs. #O{cplh,
l Their results may then serve as guidelines for lower level models, FX!Qd&kl1
less fuzzy and more detailed. X%5 `B2Wu
Chapter 6. Conclusion NHcA6y$Cz
l From the discussion, one may conclude that ... b2H-D!YO^
l Form the above discussion, the conclusion can be reached that wq|7sk{
l The conclusions drawn are also valid N8DouD
q
l In conclusion to this, it becomes obvious that the problem of xx +6x}yc:yd
lies not only in... \E'z+0
l We have attempted to introduce some concepts associated with a $rJgBN
theory of %f?Zg44
xx based on fuzzy sets. T
oT('
l Considerable more work, hopefully, will be done in this area 9e4`N"#,lI
l A fuzzy set procedure is proposed to solve xx selection problems \;iOQqv0&
)%<,JD
interwoven with imprecise data "<Yxt
"Z4
l Employing the compositional rule of inference, the assessment of WM%w_,Z
the xx compatibility in achieving prescribed xx projectiles in any ~~O4!|t
level of the hierarchy is made possible. A]1dR\p
l This paper has presented a theoretical and experimental study of E@6gTx*
the xx process and xx concept. xL
ms|jS
l The experimental research results will hopefully serve as useful RN}joKV
feedback information for improvements for xx work. omznSL
l The scope of this contribution was to introduce a xx method. `sA xk
l In general, fuzzy sets theory provides an alternative foundation
{?q`9[Z
for xx analysis in a fuzzy environment. s8 u`v1
Future Research |
O 9 b
l Thus, first extension of the approach could be, WYP\J1sy
l Present some cues for a further approach from Fuzzy Sets Theory x iz+R9p
application to RCi8{~rIvS
l Some improvements to the scheduling aspect of the model may 5s;@ ;V
be brought through additional levels in the hierarchy for more Vk2%yw>
detailed representation of the scheduling activity. 0 d+b<J,
Tables and Figures /sn
}Q-Zy2
l Figure 7-1 sketches these relationships. 66sgs16k
l The graphical representation of these functions is shown in Figure yE
.st9m
1. l>L?T#v!_
l The xx may be depicted as in Figure 1. 2Nx:Y+[
l Figure x shows the schematic diagram of the wkx #WC
l Figure 1 though 2 provide a ... that h~qv_)F_
l the architecture of this expert system for .... is illustrated in Figure {<a)+S.6U
2. Dx=RLiU9
l Figure 2 gives the outline of an ... system \){_\{&
l Table shows the ic3Szd^4
l as shown in Table 1 and 2 L@jpid95
l This concept is illustrated in Figure 2 3sIdwY)ZS_
l At the top of Table xx are shown two blocks of data. IwS<p-
he@Y1CY
l Each table or matrix has constructs xx through xx as lxbC 7?O
row-headings, L_|iQwU%
xx through xx as column-headings. B*E"yB\NV
l A table of .. is developed and significant recommendations are 8kr$w$=q
made. 68w~I7
D>
CONJUGATION HRQfT>"/
To Indicate Addition ;8
*"c
l additionally, again, also, and then, as can be easily understood, Jt0/*^'
besides, equally important, especially, finally, for the same reason, W5e>Z&&
first, further, furthermore, in addition, last, likewise, moreover, next, h,-i\8gq
second, third, too, evidently, obviously, roughly speaking, broadly :cIPX%S
speaking k^cnNx
To Indicate Cause and Effect Os].
IL$
l accordingly, as a result, consequently, for this reason, hence, in U#sv.r/L}3
short, otherwise, then, therefore, thus, truly 7l09
To indicate Comparison ~(NFjCUY?
l in a like manner, likewise, similarly , alternatively ~BgYD)ov
To Indicate Concession 0,):;OI
l after all, although this may be true, at the same time, even though, jeO`45O
even so , I admit, naturally, of course h/y0Q~|/d
To Indicate Contrast F9(jx#J~t
l and yet, at the same time, but, for all that, however, yet, in fact, in O-pH~E
contrast, in the real life, in spite of, nevertheless, notwithstanding, /qq*"R
normally, on the contrary, on the other hand, still, traditionally, /xr75|-8
rather, unfortunately, teLZplC=f
To Indicate Time Relationships: J-G)mvkv
after a short time, afterwards, as indicated earlier, as long as, as soon _{}^]ZB
sYSq >M
as, at last, at length, at the moment, at that time, at the same time, u@+^lRGFh
before, earlier, currently, immediately, in the meantime, in recent f'7/Wj
years, lately, later, meanwhile, often, of late, presently, recently, ADP3Nic
soon, shortly, since, thereupon, temporarily, therefore, until, when, Z^J)]UL/
while
nJ
1<8 p
To Indicate Special Features or Examples: yFDt%&*n^
for example, for instance, incidentally, indeed, in fact, in other words, mZ3Z8q}%P
in particular, in practice, specifically, that is, to illustrate, in this }XRfHQk
respect, theoretically, as mentioned before / above x
#|t#N%
To Indicate Summary: ]C|xo.=?]
in brief, in conclusion, in short, in summary, on the whole, to @00&J~D
conclude CHL5@gg@>y
, in general, to summarize, to sum up, as a result, ultimately, (9]
=;)
VERB PHASE V.yDZ
"
l build a .. model
!NKPy+v
l build up the key link *Ct
^jU7
l began a new era in ... q%1B4 mF'
l can be regarded as / achieved / used to/for / found / obtained )sK_k
U{\
through &s\/Uq
l can result in (8~Hr?1B
l carries out ... tasks 3
XUsw1,[
l production information in order to simultaneously S6_dmTV*
l contains all information necessary to describe hsI9{j]f
l do not make use of production information C6D
Eq>v
l deals with `{}DLaD9
l end with failure !;Ctz'wz
l fetch the information from the model directly .[6T7fdi
l has great potential / yet to be resolved / spurred the Ik=bgEF
development of / <bywi2]z
been recognized as qx?0]!x
l BE aimed at / built up / carried out by / essentially concerned d#I; e
8` WaUB%
with / considered to be the key technology / associated with each th{Ib@o
feature of a compo LcHe5Bv%
site component / cable of / currently implemented for / wPJA+
demonstrated by an example / finally reached / made equal to / &Z7 NF|
equivalent to / more suitable to / oriented to / interpreted as / |W|RX3D
pointed out / potentially of great benefit in the complex task of / V%FWZn^
shown in / used to effectively guide the search TF@k{_f
l makes use of R^JtWjJR
l make up MQo/R,F }
l meets the needs of real life production,/ the current demands fZxEE~Q1
placed upon it qu/b:P
l must be justified [-3x *?Ju
l point out s
{
0c
.M
l play an important role 'L
veCi_
l relates to 7qhX`$
l rely on )'$'?Fn
l satisfy the needs wf,w%n
l determine the total requirements for the ... a]?o"{{+
l uses ... as a key to search for... T<u QhPMw
l without relying on j\uPOn8k
l will be available/ performed/ overlooked ;PWx#v+vwF
NOUN PHASE JS(%:
l a basic technical function of &MP +
l a critical need `it
l a key / principle feature of ,V ) |A=ml
l a substantial impact on SG-Xgr@
l an intensive review was conducted i0{sE
l an increasing need for expanding the application of .... $ I|K<slV
l an important component / function / aspect / issue 3t:/Guyom8
l each rule is numbered in sequence !mu1e=bY>
l each of these involves ^eCMATE
l for this calculation, it is necessary to define ,<]~/5-f
l in the physical environment / integration of $5J~4B"%3
O|Y~^:ny
l in the reality of situations where … DM3 %+ xY
l many aspects of oNIt<T
l most past efforts have been spent on ... i-`J+8|d
l common sense to a well studied and documented technical field. p!H'JNG
l sources of additional information on ... are listed +y9WJ
l systematic and rationally structured format DkeFDzQ5
l the basis on which a range of ...operations can be established is t}f,j^`e
shown ;hJz'&UWQ
l THE basic philosophy / principles of / key element / general V-w{~
hypothesis / candidate list of / concept of ... has attracted wide &4jc3_UKV
interest / function is concerned with / heart / impact / nature / role Ks\\2$Cm7
/ task of / kernel functions E}8wnrxf
l the number of parts needed to \jHIjFwQ
l the above statement means that V8"m_
l the output data is passed to l1ViUY&Z
l the proposed method / underlying principle th`pf
l the recommendations made in this report, if implemented, should M|}V6F_y
l this information resides in KU*XRZu)
l this process is composed of ... different ... operation $Lt'xW`8
l along with the use of %SN"<O!
l concerning general aspects of aP/Ff%5T
l due to %>!$eCX
l for later use in generating..., ){$*<#&H
l in turn, `xF^9;5mi
l IT IS believed / noted / assumed / suggested / shown / quite agp7zw=N
evident / appears / implies that / intended for / of no important to tM3Q;8gB!
l it can be claimed/concluded that F6gU9=F1<
l it demonstrates the decisions required of 87yZd8+)
l it also provides information to .. nr- 32u
l it becomes essential to ,qT+Vqpr{
l let ... be the probability that ^!*nhs%
l once... is written, it is compiled into... x|GkXD3
l suppose it is observed that |wGmu&fY
l this is because
~UQXt r
0N`N
l this results in a !v<`^`x9I
l upon completion of the ... analysis, UM:]QbaIn
l when the knowledge is of mathematics or quantum physics, it will m"GgaH3,
also be fxknfgbg
recorded in books and papers -1} &\=8M
l selection of rules for using the tools, for generating operation 7\[)5j
plans, q0
L\{
is another matter of preference, since practice varies greatly. !nL>Ly
l for the sake of convenience dF$&fo%
l correct decision to be reach X"g`hT"i
l keeping the number of rules to a minimum. Q$b4\n?44
l a good process plan will result exhibiting several characteristics: W#kd[Wi
l practical solutions SA%uGkm:e
l because of rather small job lot sizes 3 L:SJskYR
l Backward reasoning can be used to answer the question "should [xo-ZDIoG
milling tool be select" different level of knowledge in the realm of Q[)3r
,D
process planning