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Beginning xQ4 5B`$
1. In this paper, we focus on the need for K. [2u
hB)
2. This paper proceeds as follow. &`"Q*N2{
3. The structure of the paper is as follows. 1t7 vP;
4. In this paper, we shall first briefly introduce fuzzy sets and related HUUN*yikj
concepts D >ax<t1K
5. To begin with we will provide a brief background on the NKyaR_q`
Introduction :: IAXGH)
1. This will be followed by a description of the fuzzy nature of the V`:iun^f
problem and a detailed presentation of how the required >a;0<Ui&Q
membership functions are defined. NQb!?w
2. Details on xx and xx are discussed in later sections. <_XyHb-
3. In the next section, after a statement of the basic problem, various cTlitf9
situations involving possibility knowledge are investigated: first, an tx0`#x
entirely possibility model is proposed; then the cases of a fuzzy =e\E{K'f@
service time with stochastic arrivals and non-fuzzy service rule is 2Lravb3
studied; lastly, fuzzy service rule are considered. ,c3gW2E
Review D9.H<.|36
1. This review is followed by an introduction. q]PeS~PjF\
2. A brief summary of some of the relevant concepts in xxx and xxx is WGy3SV )
presented in Section 2. lJZ-*"9V
3. In the next section, a brief review of the .... is given. >v1E;-ZA
4. In the next section, a short review of ... is given with special regard 4n1-@qTPF~
to ... m3o+iYkMD
5. Section 2 reviews relevant research related to xx. &dA{ <.
6. Section 1.1 briefly surveys the motivation for a methodology of $~ 6Y\O
action, while 1.2 looks at the difficulties posed by the complexity of f~
bZTf
systems and outlines the need for development of possibility f+A!w
8E
methods. 8M9LY9C
Body gZ{q85C.>
1. Section 1 defines the notion of robustness, and argues for its OXT'$]p.*
wXj!bh8\r
importance. Z?XgY\(a(Q
2. Section 1 devoted to the basic aspects of the FLC decision-making 3RYg-$NK[
logic. %M?A>7b
3. Section 2 gives the background of the problem which includes xxx
L H>oG$a
4. Section 2 discusses some problems with and approaches to, JI&ik_k3
natural language understanding. ^Ob#B!=
5. Section 2 explains how flexibility which often ... can be expressed ;0R|#9oX_
in terms of fuzzy time-window `EFPY$9`D
6. Section 3 discusses the aspects of fuzzy set theory that are used in c UJUZ@ol
the ... #HgXTC
7. Section 3 describes the system itself in a general way, including hu=b,
the ….. and also discusses how to evaluate system performance. hU3z4|~+
8. Section 3 describes a new measure of xx. G"_ 8`l
9. Section 3 demonstrates the use of fuzzy possibility theory in the F0&BEJBkU
analysis of xx. ;c>Co:W
10. Section 3 is a fine description of fuzzy formulation of human 0u,OW
decision. C`)n\?:Sth
11. Section 3 is developed to the modeling and processing of fuzzy {9 PeBc
decision rules }Y{aVn&C
12. The main idea of the FLC is described in Section 3 while Section 4 lDBn3U&z>
describes the xx strategies. O&ur|&v
13. Section 3 and 4 show experimental studies for verifying the >'qkW$-95
proposed model. QH?}uX'x)G
14. Section 4 discusses a previous fuzzy set-based approach to cost pONBF3H8
variance investigation. Jl,mYFEZ
15. Section 4 gives a specific example of xxx. Obd};&6Q
16. Section 4 is the experimental study to make a fuzzy model of )2 Omsh
memory process. n$z}DE5 #
17. Section 4 contains a discussion of the implication of the results of f,e7;u z%
Section 2 and 3. :tc]@0+
18. Section 4 applies this fuzzy measure to the analysis of xx and LTSoo.dE
illustrate its use on experimental data. btQDG
19. Section 5 presents the primary results of the paper: a fuzzy set ]w)*8
w.)
model .. ,$lOQ7R1(
. q=sC?D
20. Section 5 contains some conclusions plus some ideas for further !jV}sp<Xp
work. AbWnDqv
21. Section 6 illustrates the model with an example. d"7l<
y5
22. Various ways of justification and the reasons for their choice are W?*]'0
discussed very briefly in Section 2. [c{/0*
23. In Section 2 are presented the block diagram expression of a %*>ee[^L ,
whole model jz\LI
of human DM system K):MT[/"
24. In Section 2 we shall list a collection of basic assumptions which #0i] g)
a ... scheme must satisfy. h{&X`$
25. In Section 2 of this paper, we present representation and -Qt>yzD3
uniqueness theorems for the fundamental measurement of fuzziness }~Am{Er<l
when the domain of discourse is order-dense. qkCj33v
26. In Section 3, we describe the preliminary results of an empirical !9$xfg}
study 3c#CEuu
currently in progress to verify the measurement model and to dkz79G}e
construct membership functions. MZpG1
27. In Section 5 is analyzed the inference process through the two qqm7p
,j
kinds of inference experiments... JN9
W:X.
This Section CC(At.dd
1. In this section, the characteristics and environment under which 1:.0^?Gz
MRP is designed are described. 5`$.GV
2. We will provide in this section basic terminologies and notations XQ+KI:g2
which are necessary for the understanding of subsequent results. '(JSU
Next Section p8%/T>hK
2. The next section describes the mathematics that goes into the tMWDKatb
computer implementation of such fuzzy logic statements. g$++\%k&
3. However, it is cumbersome for this purpose and in practical ebbC`eFD
applications the formulae were rearranged and simplified as {b|:q>Be8
discussed in the next section. :R/szE*Ak
4. The three components will be described in the next two section, &^R0kCF`
and an example of xx analysis of a computer information system will
gFJ.
p
dS7?[[pg9
then illustrate their use. QLq^[>n
5. We can interpret the results of Experiments I and II as in the 7XE |5G
following sections. g~5$X{
6. The next section summarizes the method in a from that is useful _N4G[jQLJ
for arguments based on xx GqFDN],Wp
Summary UjNe0jt%s
1. This paper concludes with a discussion of future research <NV
[8B#k]
consideration in section 5. l]BIFZ~
2. Section 5 summarizes the results of this investigation. ;\N{z6
3. Section 5 gives the conclusions and future directions of research. ?GdoB7(%
4. Section 7 provides a summary and a discussion of some extensions LwpO_/qV
of the paper. SxC
5. Finally, conclusions and future work are summarized JXG%Cx!2}
6. The basic questions posed above are then discussed and d ] J5c
conclusions are drawn. 5iE-$,7#L
7. Section 7 is the conclusion of the paper. z1LN|+\}
Chapter 0. Abstract [P5+}@t
1. A basic problem in the design of xx is presented by the choice of a IMaa#8,
xx rate for the measurement of experimental variables. 9oOr-9t3
2. This paper examines a new measure of xx in xx based on fuzzy o!q3+Pp;}
mathematics which overcomes the difficulties found in other xx d5/x2!mH8
measures. +!dW
Q=W
3. This paper describes a system for the analysis of the xx. idWYpU>gC
4. The method involves the construction of xx from fuzzy relations. +Y7"!wYR>
5. The procedure is useful in analyzing how groups reach a decision. inO)Y]|f
6. The technique used is to employ a newly developed and versatile RR,gC"cTi
xx algorithm. zZrUS'8
7. The usefulness of xx is also considered. A4Dj4n 0
8. A brief methodology used in xx is discussed. ~p9nAACU
9. The analysis is useful in xx and xx problem. zGtWyXP
10. A model is developed for a xx analysis using fuzzy matrices. 8y9oj9
;E]
11. Algorithms to combine these estimates and produce a xx are :~K c"Pg
T$ <l<.Qd
presented and justified. U ?vG?{A
12. The use of the method is discussed and an example is given. }.j<kmd
13. Results of an experimental applications of this xx analysis A 9I5
procedure are given to illustrate the proposed technique. TvV_Tz4e
14. This paper analyses problems in 60
D0z
15. This paper outlines the functions carried out by ... |?zFm
mh
16. This paper includes an illustration of the ... iUNlNl ?
17. This paper provides an overview and information useful for xa
7~{ E,
approaching }n!$)W*?
18. Emphasis is placed on the construction of a criterion function by t0$}
which the xx in achieving a hierarchical system of objectives are t0^chlJP$
evaluated. Fjq~^_8
19. The main emphasis is placed on the problem of xx o75Hi
t
20. Our proposed model is verified through experimental study. }6U`/"RfcO
21. The experimental results reveal interesting examples of fuzzy 5somoV B
phases of: xx, xx = JE4C9$,
22. The compatibility of a project in terms of cost, and xx are likewise <oF
ZFlY@
represented by linguistic variables. :
`Nh}Ka0
23. A didactic example is included to illustrate the computational L?aaR%6#
procedure #0;H'GO?c
Chapter 1. Introduction s{QS2G$5
Time 1rnbUE
1. Over the course of the past 30 years, .. has emerged form intuitive 9 E@}@ZV(
2. Technological revolutions have recently hit the industrial world m%?+;V
3. The advent of ... systems for has had a significant impact on the 4&)4hF
4. The development of ... is explored #CRAQ#:45(
5. During the past decade, the theory of fuzzy sets has developed in a `~~.0QC
variety of directions a$}n4p
6.The concept of xx was investigated quite intensively in recent years erhxZ|."P
7. There has been a turning point in ... methodology in accordance qD#E, "%
with the advent of ... *x0nAo_n
8. A major concern in ... today is to continue to improve... L%hVts'
9. A xx is a latecomer in the part representation arena. TbK;_
pg
( E8(np
10. At the time of this writing, there is still no standard way of xx _^Ds[VAgA
11. Although a lot of effort is being spent on improving these do-mkvk
weaknesses, the efficient and effective method has yet to be /o/0 9K
developed. /,tQdD&
12. The pioneer work can be traced to xx [1965]. x|TLMu=3=
13. To date, none of the methods developed is perfect and all are far 9=-d/y?
from ready to be used in commercial systems. K~U5jpc
Objective / Goal / Purpose Z*M]AvO+#
1. The purpose of the inference engine can be outlined as follows: xUKn
2. The ultimate goal of the xx system is to allow the non-experts to C2Pw;iK_t
utilize the existing knowledge in the area of manual handling of loads, @Yl&Jg2l'
and to provide intelligent, computer-aided instruction for xxx. fD1a)Az
3. The paper concerns the development of a xx &~6W!w
4. The scope of this research lies in Z2%ySO
5. The main theme of the paper is the application of rule-based &idPO{G
decision making. ipIexv1/S
6. These objectives are to be met with such thoroughness and sfN6ro
confidence as to permit ... 7Zf
*T
7. The objectives of the ... operations study are as follows: LH"CIL2
8. The primary purpose/consideration/objective of |KC!6<}T~9
9. The ultimate goal of this concept is to provide Zeeixg-1<
10. The main objective of such a ... system is to sXpA^pT"T
11. The aim of this paper is to provide methods to construct such >7fNxQ
probability distribution. l1EI4Y9KG
12. In order to achieve these objectives, an xx must meet the a%fMf[Fu
following requirements: ;;3oWsil}
13. In order to take advantage of their similarity y1FE +EX[
14. more research is still required before final goal of ... can be 5i$iUDuT>(
completed HZ+l){u
15. In this trial, the objective is to generate... ?JinX'z
16. for the sake of concentrating on ... research issues C.& R,$
17. A major goal of this report is to extend the utilization of a recently c^?+"7oO0
developed procedure for the xx. ?Tr]zxtd
l?UFe$9(
18. For an illustrative purpose, four well-known OR problems are Q8~|0X\.g
studied in presence of fuzzy data: xx. BSMM3jXb
19. A major thrust of the paper is to discuss approaches and mHY R?
strategies for structuring ..methods d
hp-XIA;
20. This illustration points out the need to specify e[:i`J
2
21. The ultimate goal is both descriptive and prescriptive. 5N_w(B
22. Chapter 2. Literature Review T-
|36Os4
23. A wealth of information is to be found in the statistics literature, v95O)cC:W
for example, regarding xx j-R9=vB2
24. A considerable amount of research has been done .. during the &Se!AcvKF
last decade w|AHE
25. A great number of studies report on the treatment of 3rUuRsXn
uncertainties associated with xx. 4^jIV!
V
26. There is considerable amount of literature on planning TGxmc37?
27. However, these studies do not provide much attention to z87_/(nu
uncertainty in xx. 1e
'Ez4*
28. Since then, the subject has been extensively explored and it is v"K #
still under investigation as well in methodological aspects as in ^Fe%1Lnt
concrete applications. V(^aG=TaW:
29. Many research studies have been carried out on this topic. }5??n~:*5
30. Problem of xx draws recently more and more attention of system tS@J)p+_(
analysis. b;O@|HK&~
31. Attempts to resolve this dilemma have resulted in the l5*sCp*Z
development of =rB=! ;
32. Many complex processes unfortunately, do not yield to this W7
.Y`u[
design procedure and have, therefore, not yet been automated. wyVQV8+&>
33. Most of the methods developed so far are deterministic and /or 0Gr ^#`
probabilistic in nature. 3%NbT
34. The central issue in all these studies is to WYayr1
35. The problem of xx has been studied by other investigators, 2`ED?F68gH
however, these studies have been based upon classical statistical -<jd/ 5
approaches. (3[Lz+W.u
36. Applied ... techniques to K@0/iWm*
37. Characterized the ... system as ="<S1}.
u[>hs
\3k
38. Developed an algorithm to p`CVq `k
39. Developed a system called ... which RhPEda2
40. Uses an iterative algorithm to deduce VY#:IE:T
41. Emphasized the need to iax6o+OG|
42. Identifies six key issues surrounding high technology TSp;VrOP
43. A comprehensive study of the... has been undertaken j&qJK,~
44. Much work has been reported recently in these filed CQ(
_$
45. Proposed/Presented/State that/Described/Illustrated/ MUeS8:q-N
Indicated/Has shown / showed/Address/Highlights H)Kt!v8
46. Point out that the problem of eLd7|*|
47. A study on ...was done / developed by [] TfFuHz
ZZ
48. Previous work, such as [] and [], deal only with )}KQtkU8:
49. The approach taken by [] is F:P&hK
50. The system developed by [] consists 4wa8Vw`
51. A paper relevant to this research was published by [] /P8`)?f~y
52. []'s model requires consideration of... a BHV
53. []' model draws attention to evolution in human development F9Bj$`#)
54. []'s model focuses on... 'h:[[D%H`
55. Little research has been conducted in applying ... to
"?y
u^
56. The published information that is relevant to this research... b
O:m^*
57. This study further shows that ti)4J2c,8
58. Their work is based on the principle of %L^S;v3
59. More history of ... can be found in xx et al. [1979]. o (OC3
60. Studies have been completed to established 7T)J{:+0!|
61. The ...studies indicated that .-0;:>
62. Though application of xx in the filed of xx has proliferated in "* Qwaq_
recent years, effort in analyzing xx, especially xx, is lacking. ?_NhR
Problem / Issue / Question
r$7D;>*O{
63. Unfortunately, real-world engineering problems such as sT^^#$ub
manufacturing planning do not fit well with this narrowly defined wJ|wAS
model. They tend to span broad activities and require consideration xP1`FSO8=
of multiple aspects. fR4O^6c:
64. Remedy / solve / alleviate these problems ,B,2t u2
67. ... is a difficult problem, yet to be adequately resolved @Lj28&4:<
Ux2pqPb
68. Two major problems have yet to be addressed 4I[g{S
nF
69. An unanswered question p:,(r{*?
70. This problem in essence involves using x to obtain a solution. vk:m>?(
71. An additional research issue to be tackled is .... 0CYm%p8!
72. Some important issues in developing a ... system are discussed /FZ@Z]Q0G
73. The three prime issues can be summarized: y3
{om^ f
74. The situation leads to the problem of how to determine the ... 8^H <dR
75. There have been many attempts to 7@.UkBOx
76. It is expected to be serious barrier to olC@nQ1c*
77. It offers a simple solution in a limited domain for a complex jocu=Se@
problem. Z
'%k`F
1. There are several ways to get around this problem. *lN>RWbM%
2. As difficult as it seems to be, xx is by no means new. T/V 5pYl
3. The problem is to recognize xx from a design representation. mn=G6h
T}W
4. A xx problem can trace its roots to xx. FS%Xq-c
5. xx [1987] used a heuristic approach to simplify the complexity of crJyk #_
the problem. @x>J-Owd]J
6. Several problems are associated with them. aF:_ 1.LC
7. Although some progress has been made in this area, at least two /=x) 9J
major obstacles must be overcome before a fully automated system \advFKN
can be realized. Ld[zOx
8. Most problems in practice are complicated ,H3~mq]
9. More problem surface here. "%aJ'l2
10. Hamper effort toward a xx system 3|Q:tt'|#
11. In order to overcome the limitations due to incomplete and d#N<t`
imprecise xx knowledge, a xx program has been developed, which \e5bxc
bases its knowledge upon the statistical analysis of a sample i/nA(%_
population of xx ;}b.gpG
12. The above difficulties are real challenges faced by researchers g4WN+y`
attempting to develop j*m7&wOE
13. This type of mapping raises no controversy to the issue of ZJ9J*5!C
membership function determination. ^D(N_va<
14. However, attempts to quantify the xx have met both theoretical :7t~p
&J
and empirical problems. M`$s
dZ"
s[|sfqB1`
15. It has become apparent that in order to apply this new /jQW4eW0
methodological framework to real-world problems and data, we have I| qoH N,g
to pay attention to the problems of xx and xx. !5Ko^: +Y
Chapter 3. Proposed methodology XV+s 5C
Assumption H gMLh*
1. In the case when the assumption of a xx seems to be too 'W5r(M4U
restrictive or inadequate, the formulation with Fuzzy termination ve2GRTO^aC
time, i.e. given by a fuzzy set in the space of control stages, may be #pbPaRJL(
applied. @Iz vObK
2. We assume here the fuzzy constraints to be state-dependent, and I"4j152P|
the fuzzy goal to be the same for all the control states, xx, which "q(#,,_
stems from the problem's nature. SF2A?L?}+
3. An approach to the solution of this problem is presented under the ~9JU_R^%m
assumption that the sampling rate Decision can be made prior to the UH1AT#?!W
execution of the experiment, as opposed to being made while the rxu
6 #v F
experiment is in progress. a;J{'PHu
4. Another assumption made above is that there are precise odds at [#>ji+%=
which the expert is indifferent. & IVwm"
5. Main simplifying assumptions are: 7u]0dHj
6. This, in our view, is a questionable assumption. {x e$
Outline / Structure / Module w?6"`Mo
1. An outline of the research "Zd4e2>{M\
2. Information is incorporated within the scheme Tx%6whd/'
3. Is built into ... structure i.Iiwe0G
4. A nice modular structure. jA R@?X
5. The principles of ... are applied as modularized criteria vh3Xd\N
Classification f>i6f@
1. A xx system comprises three main components: )=TD}Xb
2. Must decompose the original .. into a set of .. Kl<qp7o0
3. Consists of the following steps: A6Ttx{]
4. This is summarized in the following steps: }I;A\K]
%;kr%%t%
5. Can be broadly classified into the following areas: {"l_x]q
6. Can be characterized by its function of effectively processing the 6>ZUx}vYj
7. Can allow further breadth of application of ...into more 8MgoAX,p
8. The following steps should be followed u"r~5
9. xx can be classified by a different ways. |i'V\"
hW
10. Based on the xx, one may classify xx into the following: WbC|2!
11. This catalog may change due to wear, breakage, and purchasing. ~Emeo&X
System Qrjo@_+w!
1. Unlike many conventional program, expert systems do not O,6Upk
usually deal with problem for which there is clearly a right or wrong N%!8 I
answer. u5^fiw]C
2. The system consists of both ... and ... Ijq1ns_tx8
3. The system has a hierarchical modular architecture organized on @'`!2[2'?
three levels. 62K7afH
4. expert system domains are area of expertise cmF&1o3_
5. To develop a xx system for xx, the following factors must be =!m5'$Uz>
considered:
%[
0V>
6. The system has been developed / designed to determine VE5w!of
7. The system has proven to be able to [YG\a5QK
8. The domain in which an expert system operates is a particular s7=CH
domain ?{l}35Q
.@
9. The system comprises a ... with tZmo= 3+:
10. The system is [feature-oriented ] / based on the ... technique j|"#S4IX)F
11. The system environment must be relatively stable fH?e9E4l
12. The system is utilized to generate, load, store, update and Br.$:g#
retrieve ... uu L"o
13. The development of a xx system has two stages: xx stage and xx XB*)d
9'8
stage. IiTV*azVh
14. The most essential part of .. system is the ... "Mzb
15. The successful developments in ESs have made them an x
o2PxUO
important tool in the development of %LeG.~?
16. An automated system was developed for K|nh`r
17. In this case, the system can be considered to be generative. ]w z`j1
>+y[HTf-
18. An interactive automatic ... system y<(q<V#0!S
19. A …. is commonly thought of as a truly integrated .. system 1'DD9d{qN
20. Should be capable of being generated from a ... system FrBoE#
21. xx is an important part of the integrated system. @\0U`*]^)
22. The model consists of four rule bases, each of which addresses a \M0-$&[+Z
separate problem in the hierarchy of scheduling decision. 21'I-j
23. The rule bases are linked to each other in a chin-like manner in +{U0PI82
the sense that the consequent of one rule base constitutes a part of ^\=<geEj
the antecedent of the next rule base.
t}L
kl(
24. The rule base consists of all possible combinations of the @9_H4V
linguistic terms associated with the linguistic variable of the ^R- -&{I
antecedent of a rule. 2F9Gx;}t5=
Computer System 4po zTe
1. The system has been implemented using Prolog language in an SQ%B"1&$D
MS-DOS environment. Prolog was chosen because it offers a well FOJ-?s(
known and flexible environment in which fuzzy reasoning may be 2F*spu
easily implemented. nmIos]B
2. The current version of the xx program when compiled with
U
hKC:<%
WATFOR77 results in an executable code of about 270K bytes. kT6h}d^/^
Typical run time, when run on a XX computer (an IBM compatible |a
9d]^
machine) operating at 4.77 Mhz with 640K RAM, ranges from 10 min FYPv:k
to 2h, depending on the size (or complexity) of the problem. x(oL\I_Z
3. Time consuming procedures have been implemented in 9e|-sn
C-language and directly linked to the Prolog environment. |@'/F #T
4. The xx process, once the xx's data has been entered, requires SOE5`
approximately 180 seconds. B(tLV9B3Q
5. It should be noted that the computation was done with a 20 Hhz, %oPW`r
80386..209;based microcomputer equipped with a 80387 math 0u[Vd:()v(
co-processor. <Y%km[Mh
6. The computer programs used for the analyses, one based on the xx Gy}WZ9{
method and the other based on the new method, were written in |2RoDW
FORTRAN with a compiler that supports the math co-processor. $sF'Sr{)y
7. Lisp, Prolog give maximum flexibility but also maximizes RcJ.=?I!
yM* CA,(c
development time. ."`mh&+`
l Internal representation is the way a model is represented in the akR+QZ,)
computer. |,YyuCQcL[
l An interactive menu-driven procedure is used in this study scr`] tD
l Shell can be develop very fast at the cost of time fairly severe e!V3 /*F
limitations. nV`n=x
l While there is no measurable saving of time for the case involving Xn:5pd;?B6
five criteria, the saving is dramatic for the case involving 10 criteria [=3f:>ssm
-- the computation time reduces from 10 hr 40 min to about 1 min. $MW-c*5a
l This combination is being implemented in an objected-oriented GFA D
programming environment (Smalltalk-80 system) to solve problems
kdmmfw
encountered in construction xxx. <HYK9{Q
Method / Approach / Study / Process Model / Equation /Algorithm / j%w}hGW%,
Rule / Formula / Technique R0yPmh,{
l A discussion is presented of a problem-solving system gc5u@
(P"
l To improve the efficiency of the method, the following approach <V`1?9c7D1
may be applied. +-%&,>R
l In order to an investigation was made to find the causes of the ucP"<,a
l Although large collections of rules and equations have been `5SLo=~
complied, none are generally accepted vw.rkAGY
l This approach will be explained and discussed thoroughly in the .$ o0$`}
body of the report. |gV$ks\<
l This can be accomplished by G`;YB
l This algorithm to compute the total cost can be described step by kdq<)>"
step as follows: d17RJW%A
l The above preliminary analysis has provided important M53{e;.kN
information 'R-Ly^:Qd
l Various methods have been proposed for selecting an optimum... h4iz(*
l These concepts have been applied to |qOoL*z
l On the basis of the concept mentioned above, Sa8KCWgWh
l This can be achieved by S]"U(JmW\
l This fact suggests that a new concept `/e
EdqT
l This was accomplished by taking ... *A^`[_y
q.}
M^iDe
l The preparatory stage is very time consuming process. jV|j]m&t
l Test are performed for validity, completeness, and compatibility 13JZ\`ceb
l There is little hope of achieving successful ... g+RgDt9
l There has been an increasing awareness of the potential of using 9Z[EzKd<~'
most ..so far made have not taken this approach, with the exception {0(:5%
of K|Cb6''
l Only a few studies can be found. _o+z#Fn z
l It is a very tedious process to go through DN X-\
l It is only when .. has been completed that .. may be effected #F^0uUjq
l The entire interpretation process is conducted in one's head. m)1+D"z
l These approaches are sometimes very tedious. }Sx+: N*
l Several techniques can be used u3k{s
l A polynomial parametric model can be written as [the Gi+ZI{)
following]/[follows]: Lw1aG;5
l A xx model is constructed/formulated using xx. AY(z9&;6
l A xx model represents an xx by its xx. Ovhd%qV;Y
l A process decision model captures the logic essential to ^o8o
l From the equation above, xx is equal to the summation of xx AE@N:a
times the ... _!ITCkBj
l The validity of a xx model can be checked using Euler's formula.
2R`dyg
l Given a model, one can mathematically determine whether ... or ... 2mt
S\bAF
l Equations for xx need to be derived and implemented in the + e3{J _
system. JFOXrRR=d
l A number of heuristic rules have been developed for GF/!@N
l Optimum .. techniques can be made more reliable by ... so that }~O`(mnD}K
l An algorithm based on the characteristic ... is used to determine Ve9*>6i&-4
l Euler's formula states the following: Pw|J([
l The completed model should agree with the formula. LcW:vV|'K
l For manufacturing purposes, a detailed and precise model of the Z1Pdnc7S[
object is necessary ^ fqco9^;
l Engineering design models are very well defined; therefore, K)&oDwk
l To keep the domain narrow enough to be implementable, yet wide r"hogmFD;
enough to Naa
"^
be useful. g5[r!XO
=}1m.
Point of View s;Sv@=\
l from an implementation standpoint, Z[%vO?,
l From the point of view of this application, /DxeG'O
l From this point of view, Zadeh suggested an inference rule named ]1dnp]r
xxx (CRI for short). egn9O
l Information is the meaningful interpretation and correlation of 5-B % 08T
some aggregation of data in order to allow one to make decisions. ;0JK>c
]#
l From a practical point of view, the computational aspects of an kNC]q,ljt5
FLC require a simplification of the fuzzy control algorithm. {Q/_I@m].
l The use of a hammer to insert screws, although partly effective, P~9y}7Q\0
tends to distort, destroy, and generally defeat the purpose of using a Xo/0lT
screw [Kusiak AI Implications for CIM p.129] }~+_|
Justification M|9=B<6`7
l We choose the so called xx in our experiment because it has q6AL}9]9
received wide acceptance and can <d]
t{M62W
l Prolog was chosen because it offers a well known and flexible i7|sVz=
environment in which fuzzy reasoning may be easily implemented. 3x3 =ke!
l The rationale behind this is that it can be much easier for an "3e1 7dsY
estimator to rate a cost as high than to attempt to place a dollar 2E_d$nsJ
value on the estimate. 9`|~-b
l This strategy has been widely used in fuzzy control applications $e/[!3CASP
since it is natural and easy to implement. /;V:<mekf
l A function definition expresses the membership function of a cM;,n X %/
fuzzy set in a functional form, typically a bell-shaped function, etc. Q)%a2s;
Such functions are used in FLC because they lead themselves to WP ~]pduT
manipulation through the use of fuzzy arithmetic. Cw,;>>Y_b<
l It should be noted that in our daily life most of the information on P{[@t_
which our decisions are based is linguistic rather than numerical in _eg&