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Beginning
jD`p;#~8
1. In this paper, we focus on the need for 8?YWE62
2. This paper proceeds as follow. 0u3"$o'R
3. The structure of the paper is as follows. 'aW}&!H M
4. In this paper, we shall first briefly introduce fuzzy sets and related 7U@;X~c
concepts g RX`61
5. To begin with we will provide a brief background on the %, Pwo{SH
Introduction uxxS."~
1. This will be followed by a description of the fuzzy nature of the P5qY|_
problem and a detailed presentation of how the required M%\=Fb
membership functions are defined. <b5J"i&m
2. Details on xx and xx are discussed in later sections. -0 e&>H%
3. In the next section, after a statement of the basic problem, various q1|! oQ
situations involving possibility knowledge are investigated: first, an Y$@?Y/rhR
entirely possibility model is proposed; then the cases of a fuzzy g9rsw7
service time with stochastic arrivals and non-fuzzy service rule is J:N4F.o&K
studied; lastly, fuzzy service rule are considered. qoifzEc`U
Review 2l8TX #K
1. This review is followed by an introduction. ZRK1UpP
2. A brief summary of some of the relevant concepts in xxx and xxx is b8>2Y'X
presented in Section 2. MFHc>O
DA
3. In the next section, a brief review of the .... is given. 5ree3 quh
4. In the next section, a short review of ... is given with special regard XDot3)2`
to ... "EE=j$8u+
5. Section 2 reviews relevant research related to xx. k~YZT 8
6. Section 1.1 briefly surveys the motivation for a methodology of `:4\RcTb/
action, while 1.2 looks at the difficulties posed by the complexity of 6G6B!x
systems and outlines the need for development of possibility OLl?1
methods. @S-p[u
Body 8.g(&F
1. Section 1 defines the notion of robustness, and argues for its _LOV&83O(
pYtvenBy
importance. $PNS`@B
2. Section 1 devoted to the basic aspects of the FLC decision-making cc$L56q
logic. t!u{sr{j=
3. Section 2 gives the background of the problem which includes xxx =`
%iv|>r0
4. Section 2 discusses some problems with and approaches to, 1>$}N?u:T
natural language understanding. y{`aM(&
5. Section 2 explains how flexibility which often ... can be expressed IhRYV`:
in terms of fuzzy time-window V&j
|St[
6. Section 3 discusses the aspects of fuzzy set theory that are used in (16U]s
the ... DH5]Kzb/
7. Section 3 describes the system itself in a general way, including Za&.sg3RG
the ….. and also discusses how to evaluate system performance. 3XOf-v:~
8. Section 3 describes a new measure of xx. .&Vyo<9Ck
9. Section 3 demonstrates the use of fuzzy possibility theory in the tSZd0G<A<o
analysis of xx. d- wbZ)BR
10. Section 3 is a fine description of fuzzy formulation of human EJbFo682
decision. `2j \(N,
11. Section 3 is developed to the modeling and processing of fuzzy 6*cY[R|q!
decision rules y'a(>s(
12. The main idea of the FLC is described in Section 3 while Section 4 Pdg %:aY
describes the xx strategies. |<YoH$.
13. Section 3 and 4 show experimental studies for verifying the <K#
]1xCA
proposed model. ^J([w~&
14. Section 4 discusses a previous fuzzy set-based approach to cost XO=UKk+EK
variance investigation. <Bmqox0
15. Section 4 gives a specific example of xxx. ?^# h|aUp.
16. Section 4 is the experimental study to make a fuzzy model of }-e
memory process. P@u&~RN9f+
17. Section 4 contains a discussion of the implication of the results of zeXMi:X
Section 2 and 3. 8@S5P$b};
18. Section 4 applies this fuzzy measure to the analysis of xx and T%Vg0Y)P;
illustrate its use on experimental data. zW@OSKq4
19. Section 5 presents the primary results of the paper: a fuzzy set T@GR Tg
model .. 6iozb~!Rr
Qe~2'Hw#9
20. Section 5 contains some conclusions plus some ideas for further s1[_Pk;!
work. cI5*`LML1
21. Section 6 illustrates the model with an example. <z>K{:+>
22. Various ways of justification and the reasons for their choice are rQncW~
discussed very briefly in Section 2. H& #Od?
23. In Section 2 are presented the block diagram expression of a 4LCgQS6
whole model C~2/ 5
of human DM system 3wS{@'
24. In Section 2 we shall list a collection of basic assumptions which :Rs% (Z
a ... scheme must satisfy. ,|: a7b]
25. In Section 2 of this paper, we present representation and [_3Rhp:
uniqueness theorems for the fundamental measurement of fuzziness ,RkL|'1l
when the domain of discourse is order-dense. mErXdb|L
26. In Section 3, we describe the preliminary results of an empirical 62BJ
;/ ]
study BO5gwvyI
currently in progress to verify the measurement model and to C?n3J
construct membership functions. s*g yk
27. In Section 5 is analyzed the inference process through the two ~3{C&c
kinds of inference experiments... 7]_lSYwrb
This Section Jmb [d\ /D
1. In this section, the characteristics and environment under which LzEAA{
MRP is designed are described. (D'Z4Y
2. We will provide in this section basic terminologies and notations Sx,O)
which are necessary for the understanding of subsequent results. nL}bCX{
Next Section `_]Z#X&&h
2. The next section describes the mathematics that goes into the XpzdvR1
computer implementation of such fuzzy logic statements. p{j
}%)6n
3. However, it is cumbersome for this purpose and in practical \TG!M]D:
applications the formulae were rearranged and simplified as 28[dTsd%
discussed in the next section. Na^1dn
4. The three components will be described in the next two section, PXGS5,
and an example of xx analysis of a computer information system will d 7A08l{
47_4`rzy;
then illustrate their use. 7N^9D
H{`
5. We can interpret the results of Experiments I and II as in the 3,j)PKf
;
following sections. L<>;E
6. The next section summarizes the method in a from that is useful 8T'=lTJ
for arguments based on xx Fzk
Summary v{ .-x\;
1. This paper concludes with a discussion of future research v]g/
5qI&
consideration in section 5. eI?<*
2. Section 5 summarizes the results of this investigation. :X[(ymWNE
3. Section 5 gives the conclusions and future directions of research. oC>QJ(o,8
4. Section 7 provides a summary and a discussion of some extensions E|D~:M%~
of the paper. /%Bc*k=ox
5. Finally, conclusions and future work are summarized :g3n
[7wR
6. The basic questions posed above are then discussed and chsjY]b
conclusions are drawn. CjM+%l0MW
7. Section 7 is the conclusion of the paper. wJJ4F$"b
Chapter 0. Abstract .-+_>br~
1. A basic problem in the design of xx is presented by the choice of a ]#N2:ych
xx rate for the measurement of experimental variables. y3$i?}?A
2. This paper examines a new measure of xx in xx based on fuzzy ~oI7TP
mathematics which overcomes the difficulties found in other xx In|:6YDL&
measures. l?~SH[V
3. This paper describes a system for the analysis of the xx. m;{_%oQ;
4. The method involves the construction of xx from fuzzy relations. /Dj6Bj
}
5. The procedure is useful in analyzing how groups reach a decision. 6%NX|4_
6. The technique used is to employ a newly developed and versatile 1?"vKm
xx algorithm. EvIL[\Dy
7. The usefulness of xx is also considered. dg 0`0k
8. A brief methodology used in xx is discussed. oju7<b9Ez
9. The analysis is useful in xx and xx problem. +Y
,>ftN
10. A model is developed for a xx analysis using fuzzy matrices. 6}
!n0
11. Algorithms to combine these estimates and produce a xx are "K`B'/08^
,"
presented and justified. $ x
6Rmd{
12. The use of the method is discussed and an example is given. r]?ZXe$;
13. Results of an experimental applications of this xx analysis i 4
KW
procedure are given to illustrate the proposed technique. )I{41/_YA
14. This paper analyses problems in n>jb<uz
15. This paper outlines the functions carried out by ... OBi9aFoQ
16. This paper includes an illustration of the ... w"$CV@AJ
17. This paper provides an overview and information useful for z`((l#(
approaching ]K0<DO9
18. Emphasis is placed on the construction of a criterion function by rOw""mE
which the xx in achieving a hierarchical system of objectives are C_=! ( @`8
evaluated. )6iY9[@tN
19. The main emphasis is placed on the problem of xx x)l}d3
20. Our proposed model is verified through experimental study. :\L{S
21. The experimental results reveal interesting examples of fuzzy Jf@M>BT^A
phases of: xx, xx F"VNz^6laV
22. The compatibility of a project in terms of cost, and xx are likewise d*Dq=.F(
represented by linguistic variables. aB"W6[
23. A didactic example is included to illustrate the computational XP
*pYN
procedure id@!kSR
Chapter 1. Introduction m `~/]QQ
Time [t5:4
Iq
1. Over the course of the past 30 years, .. has emerged form intuitive #sdW3m_%
2. Technological revolutions have recently hit the industrial world `%p}.X
3. The advent of ... systems for has had a significant impact on the Q*Per;%J
4. The development of ... is explored G*uy@s:
5. During the past decade, the theory of fuzzy sets has developed in a LF* 7;a
variety of directions QgO@oV* S
6.The concept of xx was investigated quite intensively in recent years (o)nN8
7. There has been a turning point in ... methodology in accordance 7
lY&/-V
with the advent of ... ,,S5 8\x
8. A major concern in ... today is to continue to improve... RN238]K
9. A xx is a latecomer in the part representation arena. ,Y=r]
fk
J!O5`k*.C
10. At the time of this writing, there is still no standard way of xx Y>geP+ -
11. Although a lot of effort is being spent on improving these HE(|x1C)j
weaknesses, the efficient and effective method has yet to be ZW }*]rg
developed. ]24aK_Uu
12. The pioneer work can be traced to xx [1965]. R<{bb'
13. To date, none of the methods developed is perfect and all are far 1VL!0H
from ready to be used in commercial systems. s t P~/}
Objective / Goal / Purpose p;`jmF
1. The purpose of the inference engine can be outlined as follows: eWS[|'dl
2. The ultimate goal of the xx system is to allow the non-experts to gN1b?_g
utilize the existing knowledge in the area of manual handling of loads, =z'- B~
and to provide intelligent, computer-aided instruction for xxx. S-WD?BFC
3. The paper concerns the development of a xx vt<r_&+ pJ
4. The scope of this research lies in x$d3f
sEE
5. The main theme of the paper is the application of rule-based s$css{(ek
decision making. /R^Moj<
6. These objectives are to be met with such thoroughness and WM5s
confidence as to permit ... mv|eEz)r
7. The objectives of the ... operations study are as follows: /:d03N\9k
8. The primary purpose/consideration/objective of `G&W%CHB
9. The ultimate goal of this concept is to provide ~[dU%I>L^
10. The main objective of such a ... system is to :zdMV6s
11. The aim of this paper is to provide methods to construct such Ks.m5R
probability distribution. _"
W<>
12. In order to achieve these objectives, an xx must meet the +gqtW86
following requirements: IJ2 ]2FI
13. In order to take advantage of their similarity $7eO33Bm
14. more research is still required before final goal of ... can be 4V9D
PBh
completed {i y[8eLg
15. In this trial, the objective is to generate... lb ol+O65
16. for the sake of concentrating on ... research issues Wm$(b2t
17. A major goal of this report is to extend the utilization of a recently (G $nN*rlu
developed procedure for the xx. &54fFyJF
H_KE^1
18. For an illustrative purpose, four well-known OR problems are *t J+!1
studied in presence of fuzzy data: xx. BV,P;T0"D
19. A major thrust of the paper is to discuss approaches and M-1 VB5
strategies for structuring ..methods 3&'ll51t
20. This illustration points out the need to specify ]Aap4+s
21. The ultimate goal is both descriptive and prescriptive. D,%R[F?5O
22. Chapter 2. Literature Review .WM 0x{t/
23. A wealth of information is to be found in the statistics literature, j_S///
for example, regarding xx 7sKN`
24. A considerable amount of research has been done .. during the Ci6yH( RE
last decade Bv_C *vW
25. A great number of studies report on the treatment of }YJ(|z""
uncertainties associated with xx. H|_^T.n?E
26. There is considerable amount of literature on planning RaT(^b(
27. However, these studies do not provide much attention to HL$}Gh]q
uncertainty in xx. vWY}+#
28. Since then, the subject has been extensively explored and it is wLwAtjW)
still under investigation as well in methodological aspects as in ` W$
concrete applications. hNBv|&D#
29. Many research studies have been carried out on this topic. 'U
',9
30. Problem of xx draws recently more and more attention of system # D"TY-$.=
analysis. :q=u+h_
31. Attempts to resolve this dilemma have resulted in the YBn"9w\#
development of hZ|*=/3k
32. Many complex processes unfortunately, do not yield to this *0]E4]ZO
design procedure and have, therefore, not yet been automated. -y]\;pbZ0
33. Most of the methods developed so far are deterministic and /or MMCac6;Aea
probabilistic in nature. =H6"\`W
34. The central issue in all these studies is to 58\rl G
35. The problem of xx has been studied by other investigators, lJ.:5$2H
however, these studies have been based upon classical statistical =ic"K6mhq
approaches. lx*"Pj9hho
36. Applied ... techniques to H59}d
oKH
37. Characterized the ... system as /Am,5X.
?"f\"N
38. Developed an algorithm to K6<@DP+/
39. Developed a system called ... which QA?e2kd
40. Uses an iterative algorithm to deduce 19-|.9m(
41. Emphasized the need to [kwVxaI
42. Identifies six key issues surrounding high technology m<L.H33'
43. A comprehensive study of the... has been undertaken 8CKN^8E
44. Much work has been reported recently in these filed Ut:>'TwG
45. Proposed/Presented/State that/Described/Illustrated/ S
rGX4
Indicated/Has shown / showed/Address/Highlights {n9]ej^
46. Point out that the problem of z5G<
h
47. A study on ...was done / developed by [] S9kagiFX\
48. Previous work, such as [] and [], deal only with ERcj$ [:T(
49. The approach taken by [] is *L_ +rJj,
50. The system developed by [] consists P5 G
M s
51. A paper relevant to this research was published by [] H]e%8w))0
52. []'s model requires consideration of... ;Zfglid
53. []' model draws attention to evolution in human development 3S
4'x4*
54. []'s model focuses on... j8/rd
55. Little research has been conducted in applying ... to %|mRib|<C
56. The published information that is relevant to this research... E}eu]2=nU}
57. This study further shows that -={Z::}S"
58. Their work is based on the principle of r|!w,>.
59. More history of ... can be found in xx et al. [1979]. \-(.cj)?
60. Studies have been completed to established Qw>ftle
61. The ...studies indicated that 4o7(cP
62. Though application of xx in the filed of xx has proliferated in W 2/`O?
recent years, effort in analyzing xx, especially xx, is lacking. gG"W~O)yv
Problem / Issue / Question i=b<Mz7|
63. Unfortunately, real-world engineering problems such as TI
'(
manufacturing planning do not fit well with this narrowly defined Z"spu
a5
model. They tend to span broad activities and require consideration =.vc={_?
of multiple aspects. {2u#Q7]|
64. Remedy / solve / alleviate these problems P%#WeQ+
67. ... is a difficult problem, yet to be adequately resolved r$3{1HXc
fq*.4s
#
68. Two major problems have yet to be addressed zY?GO"U"
69. An unanswered question E]zTd$v6
70. This problem in essence involves using x to obtain a solution. )$18a
71. An additional research issue to be tackled is .... 3SbtN3
72. Some important issues in developing a ... system are discussed *#ccz
73. The three prime issues can be summarized: M4hzf
74. The situation leads to the problem of how to determine the ... tI651Wm9
75. There have been many attempts to py9zDWk~
76. It is expected to be serious barrier to HJFt{tq2
77. It offers a simple solution in a limited domain for a complex Wz
M9{c
problem. 0bY}<x(;
1. There are several ways to get around this problem. :?1
r.n
2. As difficult as it seems to be, xx is by no means new. /I[?TsXp
3. The problem is to recognize xx from a design representation. #BA=?7
4. A xx problem can trace its roots to xx. (1.E9+MquU
5. xx [1987] used a heuristic approach to simplify the complexity of #=)(t${7'
the problem. A?l.(qGC_
6. Several problems are associated with them. )vH
6N _
7. Although some progress has been made in this area, at least two @ 2r9JqR[=
major obstacles must be overcome before a fully automated system bZ!*s
can be realized. ;XFo:?
8. Most problems in practice are complicated 5GD6%{\O
9. More problem surface here. wwnl_9a
10. Hamper effort toward a xx system *P4G}9B|9:
11. In order to overcome the limitations due to incomplete and ,xA`Fu9^
imprecise xx knowledge, a xx program has been developed, which <gU^#gsGra
bases its knowledge upon the statistical analysis of a sample dZnAdlJ
population of xx rCGyr}(NC
12. The above difficulties are real challenges faced by researchers @^47Qgj8U
attempting to develop B+:'Ld](
13. This type of mapping raises no controversy to the issue of KiXXlaOs
membership function determination. ?yKW^,q+
14. However, attempts to quantify the xx have met both theoretical 5mNd5IM
and empirical problems. Zy0u@`
`
WLr\ l29
15. It has become apparent that in order to apply this new jkd'2
methodological framework to real-world problems and data, we have YGVj
$\
to pay attention to the problems of xx and xx. eil"1$k
Chapter 3. Proposed methodology STMc@MeZU_
Assumption TxZ ^zj
1. In the case when the assumption of a xx seems to be too NFT&\6!o
restrictive or inadequate, the formulation with Fuzzy termination jOs&E^">&B
time, i.e. given by a fuzzy set in the space of control stages, may be `9;:mR $
applied. \$o5$/oU(
2. We assume here the fuzzy constraints to be state-dependent, and _97A9wHj
the fuzzy goal to be the same for all the control states, xx, which W
79wz\a
stems from the problem's nature. 69)- )en
3. An approach to the solution of this problem is presented under the 5c?1JH62o8
assumption that the sampling rate Decision can be made prior to the OZ2gIK
execution of the experiment, as opposed to being made while the 0pT?qsM2
experiment is in progress. E"p;
4. Another assumption made above is that there are precise odds at XW]'by
which the expert is indifferent. w0n.Y-v4i
5. Main simplifying assumptions are: =aM(r6 C
6. This, in our view, is a questionable assumption. s!*m^zx
Outline / Structure / Module 09jU 0x
1. An outline of the research +Tnn'^4
2. Information is incorporated within the scheme 37Z@a!#
3. Is built into ... structure 9VyY[&
4. A nice modular structure. E! '|FJ
5. The principles of ... are applied as modularized criteria 5>{S^i~!
Classification -%8*>%
1. A xx system comprises three main components: _]~`t+W'DJ
2. Must decompose the original .. into a set of .. (~6oA f
3. Consists of the following steps: y\M]\^[7
4. This is summarized in the following steps: ygiZ~v4P/
~ ;CnwG
5. Can be broadly classified into the following areas: 7noxUGmFw
6. Can be characterized by its function of effectively processing the 6_KO6O7g
7. Can allow further breadth of application of ...into more cB,O"-
8. The following steps should be followed Bf
{h\
>q
9. xx can be classified by a different ways. d|T87K>|r"
10. Based on the xx, one may classify xx into the following: 1ztL._Td
11. This catalog may change due to wear, breakage, and purchasing. 8_yhV{
System /_yJ;l/K
1. Unlike many conventional program, expert systems do not 5Q$6~\
usually deal with problem for which there is clearly a right or wrong q
]}fW)r
answer. h+,Eu7\88
2. The system consists of both ... and ... 5
,H,OZ}
3. The system has a hierarchical modular architecture organized on {<f |h)r
three levels. A.`)
0dV
4. expert system domains are area of expertise x6
-bAf
5. To develop a xx system for xx, the following factors must be (e,5
b
considered: Jat|n97$
6. The system has been developed / designed to determine )#|I(Gz ^
7. The system has proven to be able to PcxCal4
8. The domain in which an expert system operates is a particular h!>K[*
domain ZT;8Wvo
9. The system comprises a ... with tCoT-\Q
10. The system is [feature-oriented ] / based on the ... technique 0+H4sz%.
11. The system environment must be relatively stable Wzm!:U2R*
12. The system is utilized to generate, load, store, update and =Fu~ 0Wc
retrieve ... w-2?|XvDmf
13. The development of a xx system has two stages: xx stage and xx 8ux?K5_
stage. g#??Mz
14. The most essential part of .. system is the ... BH@b]bEJ
15. The successful developments in ESs have made them an Aw7oyC!
important tool in the development of },tN{(
)
16. An automated system was developed for *=b#>//
17. In this case, the system can be considered to be generative. )p?p39>h
v; =|-y
18. An interactive automatic ... system mmf}6ABYT
19. A …. is commonly thought of as a truly integrated .. system /8$*{ay
20. Should be capable of being generated from a ... system f&ZFG>)6
21. xx is an important part of the integrated system. #RN"Ul-B|
22. The model consists of four rule bases, each of which addresses a `fL81)!jI#
separate problem in the hierarchy of scheduling decision. 1I^uq>r
23. The rule bases are linked to each other in a chin-like manner in -n>JlfCd2
the sense that the consequent of one rule base constitutes a part of q8Z,XfF^S
the antecedent of the next rule base. I4Y;9Gg
24. The rule base consists of all possible combinations of the x!@ 3.$
linguistic terms associated with the linguistic variable of the \os iY^
antecedent of a rule. <"}Gvi
Computer System GM{J3O=
1. The system has been implemented using Prolog language in an JGZxNUr^
MS-DOS environment. Prolog was chosen because it offers a well jO5R
0^w
known and flexible environment in which fuzzy reasoning may be L2NO_N
easily implemented. |o5F%1o
2. The current version of the xx program when compiled with 2u=Nb0
WATFOR77 results in an executable code of about 270K bytes. Q*GJ
REC
Typical run time, when run on a XX computer (an IBM compatible 5VLJ:I?0O
machine) operating at 4.77 Mhz with 640K RAM, ranges from 10 min }BR@vY'd
to 2h, depending on the size (or complexity) of the problem. l7p*::(9
3. Time consuming procedures have been implemented in
}}cS-p
C-language and directly linked to the Prolog environment. .3Ag6YI0N
4. The xx process, once the xx's data has been entered, requires
wv
6rjg:7
approximately 180 seconds. DjK
5. It should be noted that the computation was done with a 20 Hhz, 5Vj t!%?r
80386..209;based microcomputer equipped with a 80387 math X
(0`"rjg
co-processor. 0>aAI3E
6. The computer programs used for the analyses, one based on the xx qFpRY7eq
method and the other based on the new method, were written in
=Eimbk
FORTRAN with a compiler that supports the math co-processor. ryKc7<
7. Lisp, Prolog give maximum flexibility but also maximizes 0IP5&[-P
BB)(#yoi
development time. >E:V7Fa
l Internal representation is the way a model is represented in the Px$4.b[{_Y
computer. .]IidsgM
l An interactive menu-driven procedure is used in this study vnrP;T=^
l Shell can be develop very fast at the cost of time fairly severe
QsN%a>t
limitations. /3>5ex>PN
l While there is no measurable saving of time for the case involving .0gF&>I}
five criteria, the saving is dramatic for the case involving 10 criteria >3J?O96|f
-- the computation time reduces from 10 hr 40 min to about 1 min. x U1](O
l This combination is being implemented in an objected-oriented Oosr`e@S
programming environment (Smalltalk-80 system) to solve problems }0%~x,
encountered in construction xxx. 6y4&nTq[
Method / Approach / Study / Process Model / Equation /Algorithm / <%~`!n,t0
Rule / Formula / Technique /@!%/Kl
l A discussion is presented of a problem-solving system O`pqS\H
l To improve the efficiency of the method, the following approach Z%t"~r0PS
may be applied. "G+g(?N]j
l In order to an investigation was made to find the causes of the UUuB Rtau
l Although large collections of rules and equations have been v"po
}K
complied, none are generally accepted y7?n;3U]CS
l This approach will be explained and discussed thoroughly in the *nj={Ss&
body of the report. $}* bZ~
l This can be accomplished by -%5O:n
l This algorithm to compute the total cost can be described step by AxbQN.E
step as follows:
vs`"BQYf
l The above preliminary analysis has provided important &ml7368@
information &:3uK`
l Various methods have been proposed for selecting an optimum... afOix"
l These concepts have been applied to " G&S`8
l On the basis of the concept mentioned above, iFypKpHg~
l This can be achieved by L7}dvdtZ0
l This fact suggests that a new concept \m\E*c
):
l This was accomplished by taking ... _~=qByD
R[%ZyQ_
l The preparatory stage is very time consuming process. ^E)*i#."4
l Test are performed for validity, completeness, and compatibility 9Ez>srH(
l There is little hope of achieving successful ... A$H;2T5N
l There has been an increasing awareness of the potential of using #%=6DHsK
most ..so far made have not taken this approach, with the exception 2!7)7wlj0
of 8c6dTT4
l Only a few studies can be found. Al0
i{.V
l It is a very tedious process to go through =`1#f
QDt
l It is only when .. has been completed that .. may be effected aR2Vvo
l The entire interpretation process is conducted in one's head. b%TS37`^[
l These approaches are sometimes very tedious. sv g`s,g
l Several techniques can be used e\[z Q
2Z3
l A polynomial parametric model can be written as [the
[b=l'e/
following]/[follows]: 2$fFl,v!z
l A xx model is constructed/formulated using xx. /|)VO?*D
l A xx model represents an xx by its xx. _`H2CXGg
l A process decision model captures the logic essential to vLc7RL
l From the equation above, xx is equal to the summation of xx sM4Qu./
times the ... n0nvp@?7bJ
l The validity of a xx model can be checked using Euler's formula. o)(N*tC
l Given a model, one can mathematically determine whether ... or ... E!,+#%O>
l Equations for xx need to be derived and implemented in the N y\c>$z
system. T~238C{vh
l A number of heuristic rules have been developed for 0L
^WTq
l Optimum .. techniques can be made more reliable by ... so that &gNb+z+
l An algorithm based on the characteristic ... is used to determine >I~$h,
l Euler's formula states the following: [32]wgw+{1
l The completed model should agree with the formula. :Z}d#Rbl
l For manufacturing purposes, a detailed and precise model of the Y`O"+Jr
object is necessary *Y4[YnkPE
l Engineering design models are very well defined; therefore, 'V*ixK8R0
l To keep the domain narrow enough to be implementable, yet wide {c7ZA%T~R
enough to 61XLL/=P
be useful. sULCYiT|Hn
W-pN
Point of View \1[=t+/
l from an implementation standpoint, 8|Q=9mmWOh
l From the point of view of this application, 'aWrjfDy:
l From this point of view, Zadeh suggested an inference rule named JlM0]__v
xxx (CRI for short). 17\5
NgB
l Information is the meaningful interpretation and correlation of p)dD{+"/2
some aggregation of data in order to allow one to make decisions. \$g,Hgp/<
l From a practical point of view, the computational aspects of an )\k({S
FLC require a simplification of the fuzzy control algorithm. Ojh\H
l The use of a hammer to insert screws, although partly effective, H}nPaw]G
tends to distort, destroy, and generally defeat the purpose of using a BA5b;+o-
screw [Kusiak AI Implications for CIM p.129] &B3[:nS2
Justification K
5h2 ~
l We choose the so called xx in our experiment because it has +9tm9<F8
received wide acceptance and can LU7ia[T
l Prolog was chosen because it offers a well known and flexible &F8N$H
environment in which fuzzy reasoning may be easily implemented. 6*{sZMG
l The rationale behind this is that it can be much easier for an b_'VWd:am
estimator to rate a cost as high than to attempt to place a dollar ~!PaBS3A
value on the estimate. 6JCq?:#ab
l This strategy has been widely used in fuzzy control applications y5p)z"
since it is natural and easy to implement. k|r+/gIV
l A function definition expresses the membership function of a HW@r1[Y
fuzzy set in a functional form, typically a bell-shaped function, etc. 'X$J+s}6&
Such functions are used in FLC because they lead themselves to 0-=PP@W
manipulation through the use of fuzzy arithmetic. fH>I/%
l It should be noted that in our daily life most of the information on odm!}stus
which our decisions are based is linguistic rather than numerical in ; xz}]@]Ar
nature. Seen in this perspective, fuzzy control rules provide a natural S,*
framework for the characterization of human behavior and decisions /}ADV2sF
analysis. }OJ,<!v2pc
l Many experts have found that fuzzy control rules provide a KkCA*GS
Y\e8oIYu7
convenient way to express their domain knowledge. This explains nXg:lCI-uu
why most FLCs are based on the knowledge and experience which -!ARVf *
are expressed in the language of fuzzy "if-the" rule. K,$
Ro@!
Chapter 4. Examples zYz0R:@n+
Example/ Data '1Z3MjX
l The data used in the following example was taken from an )M:pg%
experiment in which xx was measured between x and x using a xx k7R}]hq]""
technique. Tp.t.Qic
l The data consists of over xx measurements. &y~~Z [.F,
l An example of xx is discussed and the control rules of xx are VOa7qnh4:[
compared with a xx KJLC2,
l Examples of complex processes to which this technique may be ]6*+i $
applied are xx, xx, etc. (v2.8zrJ
l The following example is constructed only for the purpose of o=
}vK[0u
illustrating the computational procedure discussed. XSv)=]{
l This example clearly demonstrates that the profile of an individual Tl%n|pc
xx, or a very small group of xx, with no enough data to be studied p?#%G`dm
statistically, can be meaningfully analyzed by fuzzy possibilistic ?04$1n:
methods. o(|fapK.
l There is no space here to go into detail on all these methods, but )2YZ [~3
deserve a mention and the bibliography will point to detailed _]/&NSk
references for those wishing this level of detail. XVRtfo
l Note that the golf ball spotting example is used throughout the K;NaiRP#k
paper. ;'fn{j6C
Comparisons 'C")X
l As well, the pros and cons of these representations from a process 'y<<ce*
planning point of view will be discussed. re%MT@L#
l The method of using xx to implement xx described by Zadeh x#0B
"{
(1973) appeared more suitable I~f8+DE)
l As discussed [in the previous section]/[preciously], jaOt"iU.B
Do\YPo_Mr
Relation ;<~lzfs
l We can not invert F' directly because it defines a many-to-one 6Y-sc*5
mapping. noLb
l The relationships appear very complicate wRLj>nc
l Lifting tasks involve complex and imprecise relationship between ,TdL-a5
the task variables and the human operator's characteristics. YYiT,Xp<A
l These methods are based on the relationship between ... and ... 50Kv4a"
l The fundamental concept of a fuzzy rating language is that we can tc%0yr9
establish a relationship among terms such as high, medium, and low, aDreN*n
and then modify these relationships. Pqc+p E
l This article will thus mention the latter as well as the former. H>/LC* 8-
l The former two bear a close relation to a fuzzy Cartesian product. R2%>y5dD
Importance zV<vwIUrr
l The emphasis is on an implementation of a general approach to -?K?P=B;X
rule based decision making. cYafQyU
Consideration / Attention hV6=-QL*B
l Careful evaluation is necessary to ensure J
jgy;*hM
l Such a formulation does not change further considerations. 4qc0Q
A%
l Considerable attention has been paid to j & x=?jX
l Attention should be paid to an important finding of this uSRvc0R\
investigation. 'r2VWavT
l Caution should be exercised in this process to avoid ... "~uo4n~H
l Primary consideration is given to ... components, though others B,]:<1l~
can be accommodated NL-<K
l After ... has been defined by ..., a carefully analysis is carried xqAXfJ.
out/performed to determine (fYrb#]!y
l A number of factors such as ...need to be taken into consideration UFED*al#
before making the appropriate decision. !_|rVg.
l It should be noted that JnT1-=t.
l It is important to point out that ... p7YfOUo
k
l These considerations have heightened interest in the possibility of %N, P?
,U
providing ... "V:24\vO
f/&k$,
w
l We should stress the fundamental importance of the xx D}| 30s?u1
Chapter 5. Results. xzRs
;AXOp
Advantages / Disadvantage 96&Y
l One of the major advantages of this new measure of xx is that it Yom,{;Bv
can be applied to the experimental study of H3?HQ>&O7
l One advantage of using a .. is the ease of preparing it. #78P_{#!
l The xx system is versatile P 3CzX48^
l It has a very fast decision making process WG_20Jd
JY
l All the algorithms involve mostly logical operations. #xopJa Y
l It can be easily and without additional cost implemented in a --~m{qmy
microprocessor-based environment. "?lm`3W"
l It can reduce the waste of designing from scratch. ?rD`'B
l The advantages of using a xx to represent xx are the following: l
{{wrU`
l However, xx is not without its shortcomings. MWHGB")J
l In most cases, the xxx shows an improvement over the existing DM-8azq $
xxx. :LuzKCvBP
l Compared to the existing xx, the impacts of the xx are generally %>cl0W3x
reduced by 5% to 9%. mh#dnxeR
l The "best case" results shows a savings of 6% to 9%. B~_='0Gm[
l Most of the existing works based on xx approach can only =!G3YZ
recognize a xx . @R|Gz/
l Most of the above methods are computational expansive and r/![ohrEB
limited to xx. R7L:U+*V"
l Some other advantages of xx are the following: _Gf.1Bsf@S
l The problem is the limitation of this method to a limited domain of Rv)!p~V8
parts. {ZS-]|Kx
l It proved limited in application because it demanded precision in 6;lJs,I1w{
system modeling that was impossible in practice. .Z!!x
l There are advantages to be gained in the structuring of costs and idC4yH42
benefits, the use of xx, .oJs"=h:m
l The disadvantages of this method are also disadvantages of 0x}8}
conventional xx approaches. !OJ@
=y`i
qIwI]ub~
l This combines the best features of both techniques qzVmsxBNP
l Hopefully, this tool can be as the reference framework of for No)v&P%
developing a xx platform, and helping the administration, marketing, \8uPHf_
and knowledge management activities in virtual communities. 41<.e`{
Results }}3*tn<6
l An improvement on the result shown above can be made by based K_iy^|0)5]
on the data provided !*:Zcg?7n
l Discussion of these theories is beyond the scope of this review g1Q
^x/
l Based on the information contained in this [?<"SJ,`
l The result can be categorized into nine classes rsP3?.
E
l The results are illustrated by an example [_jTy;E
l The experimental results for each xx time are reported in Table 2. //G5lW/*
l From the results obtained so far, it seem that k;p:P ?s5Y
l Because of the inaccuracy of the ..., a conclusion cannot be drawn X[8m76/V
as =:U63
l Although much effort has been made to., this reality is far from VVdgNT|}W
completion. =KwG;25hX
l The results indicate that the total benefits are higher than the ?op6_a-wm
total costs. "v-\nAu
l Their results may then serve as guidelines for lower level models, OHzI!,2]
less fuzzy and more detailed. M:W9h+z
Chapter 6. Conclusion ;m}lmq,
l From the discussion, one may conclude that ... M:OY8=V
l Form the above discussion, the conclusion can be reached that CTt3W>'=+
l The conclusions drawn are also valid or/Y"\-!
l In conclusion to this, it becomes obvious that the problem of xx \GeUX<Fl
lies not only in... z3b8
l We have attempted to introduce some concepts associated with a !`vm7FN"u
theory of
SX|b
0S,
xx based on fuzzy sets. GLA,,i'i9
l Considerable more work, hopefully, will be done in this area 3Juhn5&N
l A fuzzy set procedure is proposed to solve xx selection problems -san%H'
A>^\jIB>
interwoven with imprecise data #rzq9}9tB
l Employing the compositional rule of inference, the assessment of *J@2A)ZDv0
the xx compatibility in achieving prescribed xx projectiles in any in -/
level of the hierarchy is made possible. Yt2_*K@rC
l This paper has presented a theoretical and experimental study of ?gjM]Ki%:
the xx process and xx concept. lyKV^7}
l The experimental research results will hopefully serve as useful xfqgK D>
feedback information for improvements for xx work. 5xP\6Nx6&5
l The scope of this contribution was to introduce a xx method. -yOrNir}W
l In general, fuzzy sets theory provides an alternative foundation UNq!|
for xx analysis in a fuzzy environment. [g/
Hf(&
Future Research FJo N"X
l Thus, first extension of the approach could be, Uf{cUY,j_
l Present some cues for a further approach from Fuzzy Sets Theory `N}<lg(0#
application to UR
mx8=q
l Some improvements to the scheduling aspect of the model may /<s'@!W
be brought through additional levels in the hierarchy for more JAen=%2b
detailed representation of the scheduling activity. |vA3+kG
Tables and Figures +"Ek?
)?
l Figure 7-1 sketches these relationships. Skl1
%`
l The graphical representation of these functions is shown in Figure p0? XR
1. 9*RfOdnNe
l The xx may be depicted as in Figure 1. Qs8iu`'
l Figure x shows the schematic diagram of the %Vrl"4^}t
l Figure 1 though 2 provide a ... that 15#v|/wI'
l the architecture of this expert system for .... is illustrated in Figure z
m\=4^X
2. O[3J Px
l Figure 2 gives the outline of an ... system dgE|*1/0
l Table shows the `,tv&siSA
l as shown in Table 1 and 2 {_|~G|Z
l This concept is illustrated in Figure 2 i0Qg[%{9#
l At the top of Table xx are shown two blocks of data. [Nr6qxWg
,sP7/S)FR
l Each table or matrix has constructs xx through xx as c^}gJ
row-headings, CspY+%3$
xx through xx as column-headings. h&L+Qx
l A table of .. is developed and significant recommendations are i ;y<gm"
made. }E[S
%W[
CONJUGATION 7&/iuP$.
To Indicate Addition .1.n{4z>:
l additionally, again, also, and then, as can be easily understood, nYY@+%`]z
besides, equally important, especially, finally, for the same reason, QL"fC;xUn,
first, further, furthermore, in addition, last, likewise, moreover, next, 8<Asg2]6
second, third, too, evidently, obviously, roughly speaking, broadly c_x6FoE;L
speaking fxXZ^#2wX
To Indicate Cause and Effect X_Is#&6;
l accordingly, as a result, consequently, for this reason, hence, in 66fvS}x
short, otherwise, then, therefore, thus, truly 3%|LMX]M5_
To indicate Comparison i|*(vH&D.
l in a like manner, likewise, similarly , alternatively ]MfT5#(6h
To Indicate Concession gsGwf[X dJ
l after all, although this may be true, at the same time, even though, Eh#W*Bg
even so , I admit, naturally, of course B<xBuW
To Indicate Contrast ce.'STm=
l and yet, at the same time, but, for all that, however, yet, in fact, in ~zi6wu(3
contrast, in the real life, in spite of, nevertheless, notwithstanding, [53rSr
normally, on the contrary, on the other hand, still, traditionally, 5Z]`n
rather, unfortunately, {vx{Hwyv
To Indicate Time Relationships: DhG2!'N
after a short time, afterwards, as indicated earlier, as long as, as soon >#Y8#-$zc
#b4`Wcrj
as, at last, at length, at the moment, at that time, at the same time, \kF}E3~+#
before, earlier, currently, immediately, in the meantime, in recent )3=oS1p
years, lately, later, meanwhile, often, of late, presently, recently, *Tl"~)'t~
soon, shortly, since, thereupon, temporarily, therefore, until, when, L}P<iB
while MIub^ $<C
To Indicate Special Features or Examples: lfOF]Kiqr
for example, for instance, incidentally, indeed, in fact, in other words, pR4{}=g,
in particular, in practice, specifically, that is, to illustrate, in this HB\<nK
respect, theoretically, as mentioned before / above ;gcQ9L
To Indicate Summary: ~QJD.'z
in brief, in conclusion, in short, in summary, on the whole, to bqJL@!T
conclude Q%o ]&Hdn
, in general, to summarize, to sum up, as a result, ultimately, KRd.Ubs -
VERB PHASE cR[)[9}
l build a .. model rtS(iD@B"
l build up the key link Us+|L |/
l began a new era in ... w}zl=w{G
l can be regarded as / achieved / used to/for / found / obtained 5u'"m
<4
through \om$%FUP
l can result in wA|m/SZx
l carries out ... tasks k?0yH$)'t
l production information in order to simultaneously H2 5Mx>|d
l contains all information necessary to describe J
[J,
l do not make use of production information cF_ Y}C
l deals with ~=aD*v<3d
l end with failure PEW^Vl-6q
l fetch the information from the model directly |Kky+*
l has great potential / yet to be resolved / spurred the 4ZrX=e,
development of / vQ2kL`@
been recognized as zGHP{a1O7
l BE aimed at / built up / carried out by / essentially concerned *>h"}e41
):;
&~
with / considered to be the key technology / associated with each L(XGD
feature of a compo @Iia>G@Rz
site component / cable of / currently implemented for / JaoRkl?F
demonstrated by an example / finally reached / made equal to / Iz*'
equivalent to / more suitable to / oriented to / interpreted as / }]$%aMxy T
pointed out / potentially of great benefit in the complex task of / coT|t
T
shown in / used to effectively guide the search f]L`^WU
l makes use of 7dyGC:YuTL
l make up Ch%W
C,
l meets the needs of real life production,/ the current demands 5+].$
placed upon it E;.<'t>
l must be justified f=]+\0MQ
l point out [g
`9C!P-G
l play an important role `% k9@k.
l relates to \W=~@k
l rely on fw$/@31AP?
l satisfy the needs @]P#]%^D2
l determine the total requirements for the ... ^2%_AP0=
l uses ... as a key to search for... DP ,owk
l without relying on ~XQj0'
l will be available/ performed/ overlooked @8E mY,{;
NOUN PHASE s\y+ xa:
l a basic technical function of !`"@!
l a critical need A:PQIcR;V
l a key / principle feature of RAYDl=}
l a substantial impact on Sm(X/P=z
l an intensive review was conducted Oya:{d&=
l an increasing need for expanding the application of .... #=C!Xx&
l an important component / function / aspect / issue #$7d1bx
l each rule is numbered in sequence C1&~Y.6m
l each of these involves _^K)>
l for this calculation, it is necessary to define PDQC^2Z
l in the physical environment / integration of hr3RC+ y
~R^~?Y%+<
l in the reality of situations where … &XAG|
#
l many aspects of Lc 4\i
l most past efforts have been spent on ... =j#1HI=Fe
l common sense to a well studied and documented technical field. j#L"fW^GM
l sources of additional information on ... are listed [Q+8Ku
l systematic and rationally structured format %+Hhe]J ld
l the basis on which a range of ...operations can be established is Bh3N6j+$d
shown wJ#fmQXKJ5
l THE basic philosophy / principles of / key element / general tgmG#b*
hypothesis / candidate list of / concept of ... has attracted wide 1./uJB/
interest / function is concerned with / heart / impact / nature / role yF2|w=!
/ task of / kernel functions |dNJx<-
l the number of parts needed to LpRl!\FY$
l the above statement means that C1w~z4Qp
l the output data is passed to ,liFo.kT8%
l the proposed method / underlying principle R>Q&Ax
l the recommendations made in this report, if implemented, should @c3GJ'"X
l this information resides in !J#oN+AR
l this process is composed of ... different ... operation m#
y`
l along with the use of 2stBW5v3
l concerning general aspects of JF{yhx,+p
l due to dL{zU4iUR
l for later use in generating..., K>%}m,
l in turn, )v\zaz
l IT IS believed / noted / assumed / suggested / shown / quite ]M^k
~Xa
evident / appears / implies that / intended for / of no important to /~sNx
l it can be claimed/concluded that ,q9nHZG^
l it demonstrates the decisions required of {WokH;a/
l it also provides information to .. :mP%qG9U
l it becomes essential to n*(9:y=l1
l let ... be the probability that RLy2d'DS
l once... is written, it is compiled into... y$i^C: N
l suppose it is observed that 0%x"Va~"z
l this is because (RXOv"''=
hY*ylzr83
l this results in a kHWW\?O
l upon completion of the ... analysis, h=?V)WSM
l when the knowledge is of mathematics or quantum physics, it will 0`WjM2So
also be fEv`iXZG
recorded in books and papers =w&bS,a"y
l selection of rules for using the tools, for generating operation N@qP}/}8
plans, R_DstpsT
is another matter of preference, since practice varies greatly. \@\r`=WgB
l for the sake of convenience y
nue;*rM
l correct decision to be reach EO.Se9ux
l keeping the number of rules to a minimum. X
jPPgI
l a good process plan will result exhibiting several characteristics: 7dm:L'0
l practical solutions -RLY.@'d-M
l because of rather small job lot sizes RZY[DoF8u
l Backward reasoning can be used to answer the question "should 0 _n
Pq
milling tool be select" different level of knowledge in the realm of TTDcVG_}
process planning