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Beginning ^YdcAHjK
1. In this paper, we focus on the need for E m
6Qe
2. This paper proceeds as follow. C:8_m1Y{
3. The structure of the paper is as follows. ^ci3F<?Q=
4. In this paper, we shall first briefly introduce fuzzy sets and related ((tv2
concepts 7pA/
5. To begin with we will provide a brief background on the %ek'~
Introduction obrl#(\P
1. This will be followed by a description of the fuzzy nature of the v[plT2"s
problem and a detailed presentation of how the required `Q3s4VEC
membership functions are defined. -<v~snq'
2. Details on xx and xx are discussed in later sections.
C9
8]9
3. In the next section, after a statement of the basic problem, various *KY=\
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situations involving possibility knowledge are investigated: first, an AcI,N~~
entirely possibility model is proposed; then the cases of a fuzzy {!|}=45Z
service time with stochastic arrivals and non-fuzzy service rule is "8^5>EJ
Wv
studied; lastly, fuzzy service rule are considered. 6hZ@;Q=b
Review -/{4Jf Wf
1. This review is followed by an introduction. K7Rpr.p
2. A brief summary of some of the relevant concepts in xxx and xxx is M?b6'd9f
presented in Section 2. ,Q
zL)W7
3. In the next section, a brief review of the .... is given. ZxV"(\$n
4. In the next section, a short review of ... is given with special regard %sHF-n5P
to ... r]3'74j:
5. Section 2 reviews relevant research related to xx. l]~n3
IK"
6. Section 1.1 briefly surveys the motivation for a methodology of DvvT?K
action, while 1.2 looks at the difficulties posed by the complexity of V $z}
K
systems and outlines the need for development of possibility 3^s/bm$g
methods. 1]orUF&_
Body kJWN.
1. Section 1 defines the notion of robustness, and argues for its pv^O"Bs
=K{\p`?
importance. EkGQ(fZ1|
2. Section 1 devoted to the basic aspects of the FLC decision-making "\0v,!@
logic. PJ cwH6m
3. Section 2 gives the background of the problem which includes xxx 0b4R
4. Section 2 discusses some problems with and approaches to, ?wnzTbJN
natural language understanding. 8]&i-VFof
5. Section 2 explains how flexibility which often ... can be expressed |9~GM
in terms of fuzzy time-window aW!@f[%~F
6. Section 3 discusses the aspects of fuzzy set theory that are used in !"8fdSfg
w
the ... lNQcYv
7. Section 3 describes the system itself in a general way, including [s&$l G!
the ….. and also discusses how to evaluate system performance. t|~YEQ
8. Section 3 describes a new measure of xx. #v<QbA
9. Section 3 demonstrates the use of fuzzy possibility theory in the keB&Bjd&
analysis of xx. L#vI=GpL,r
10. Section 3 is a fine description of fuzzy formulation of human tK&'<tZh
decision. =0;^(/1Mc
11. Section 3 is developed to the modeling and processing of fuzzy fu90]upz~
decision rules q$aaA`E%
12. The main idea of the FLC is described in Section 3 while Section 4 |j 6OM{@
describes the xx strategies. I4&::y^C
13. Section 3 and 4 show experimental studies for verifying the Yv:55+ e!|
proposed model. }#X8@
14. Section 4 discusses a previous fuzzy set-based approach to cost A45A:hqs
variance investigation. d6
W SL;$
15. Section 4 gives a specific example of xxx. AE} )o)B
16. Section 4 is the experimental study to make a fuzzy model of }N*_KzPIa
memory process. `F/Tv 5@L
17. Section 4 contains a discussion of the implication of the results of {#)0EzV6
Section 2 and 3. 'Y]mOD^p
18. Section 4 applies this fuzzy measure to the analysis of xx and ,Jd
',>3
illustrate its use on experimental data. P3oI2\)*i
19. Section 5 presents the primary results of the paper: a fuzzy set rD*sl}
model .. %Qj;, #z
",!1m7[wF
20. Section 5 contains some conclusions plus some ideas for further '3?\K3S4i
work. zL\OB?)5J
21. Section 6 illustrates the model with an example. i\dc>C ;
22. Various ways of justification and the reasons for their choice are uJ6DO#d`P
discussed very briefly in Section 2. ai
{Sa U
23. In Section 2 are presented the block diagram expression of a G#?Sfn O0
whole model 'D@-
of human DM system %?m$`9yU
24. In Section 2 we shall list a collection of basic assumptions which 0@EwM
a ... scheme must satisfy. z(H^..<!5
25. In Section 2 of this paper, we present representation and ^.>jGI%rB
uniqueness theorems for the fundamental measurement of fuzziness }X=[WCKU
when the domain of discourse is order-dense. FHC\?Cg
26. In Section 3, we describe the preliminary results of an empirical TY Qwy*
study Hbpqyl%O>
currently in progress to verify the measurement model and to 6qaulwV4t
construct membership functions. S*n@81Z
27. In Section 5 is analyzed the inference process through the two 65Cg]Dt71
kinds of inference experiments... [3@):8
This Section qs QNjt
1. In this section, the characteristics and environment under which 2/0v B>
MRP is designed are described. o";Z$tAJkC
2. We will provide in this section basic terminologies and notations rf$X>M=G
which are necessary for the understanding of subsequent results. Uy$)%dYfq5
Next Section ma((2My'H
2. The next section describes the mathematics that goes into the O/<K!;(@?
computer implementation of such fuzzy logic statements. <^lRUw
3. However, it is cumbersome for this purpose and in practical qu-/"w<3$
applications the formulae were rearranged and simplified as ]X^rU`":
discussed in the next section. DuOG {
4. The three components will be described in the next two section, 3l#IPRn9AO
and an example of xx analysis of a computer information system will E~_]Lfs)
G;~V
then illustrate their use. 2^l[(N
5. We can interpret the results of Experiments I and II as in the Yk5}`d!:
following sections.
4A2?Uhpy
6. The next section summarizes the method in a from that is useful afb+GA!
for arguments based on xx $]A/
o(
Summary 7Ddaf>
1. This paper concludes with a discussion of future research k+DR]icv
consideration in section 5. |\g5+fv9
2. Section 5 summarizes the results of this investigation. z~>pVs
3. Section 5 gives the conclusions and future directions of research. [NTt
z
<i@
4. Section 7 provides a summary and a discussion of some extensions &Ky_v^
of the paper. A21N|$[
5. Finally, conclusions and future work are summarized Ed
,D8ND
6. The basic questions posed above are then discussed and ^J\~XYg{7
conclusions are drawn. ,Uy|5zv
7. Section 7 is the conclusion of the paper. \R3H+W
Chapter 0. Abstract <&:=z?30"
1. A basic problem in the design of xx is presented by the choice of a {U_$&f9s
xx rate for the measurement of experimental variables. ]Qe{e3p;
2. This paper examines a new measure of xx in xx based on fuzzy %3$*K\Ai
mathematics which overcomes the difficulties found in other xx Q;D0<Bv
measures. [V)
L
3. This paper describes a system for the analysis of the xx. &zuG81F6
4. The method involves the construction of xx from fuzzy relations. "&%#!2
5. The procedure is useful in analyzing how groups reach a decision. 5T:i9h
6. The technique used is to employ a newly developed and versatile ,DZX$Ug~+E
xx algorithm. 59Gk3frk(
7. The usefulness of xx is also considered. 5Fz.Y}
8. A brief methodology used in xx is discussed. "1-}A(X
9. The analysis is useful in xx and xx problem. HWVtop/
10. A model is developed for a xx analysis using fuzzy matrices. m{7(PHpw
11. Algorithms to combine these estimates and produce a xx are FEJ~k1z
DK
oN}c
presented and justified. +Lnsr\BA
12. The use of the method is discussed and an example is given. Q8_ d)t|
13. Results of an experimental applications of this xx analysis ?]4>rl}
procedure are given to illustrate the proposed technique.
qBT.x,$
14. This paper analyses problems in po}F
6m8bX
15. This paper outlines the functions carried out by ... {N#KkYH{"
16. This paper includes an illustration of the ... HyR!O>
17. This paper provides an overview and information useful for LbII?N8`N
approaching 0{j&6I2
18. Emphasis is placed on the construction of a criterion function by k}#;Uy=5
which the xx in achieving a hierarchical system of objectives are ymNnkFv
evaluated. 0JD~M\-!^a
19. The main emphasis is placed on the problem of xx e*.b3z
20. Our proposed model is verified through experimental study. 7K{Nb
21. The experimental results reveal interesting examples of fuzzy ZKdeB3D
phases of: xx, xx nIvJrAm4k
22. The compatibility of a project in terms of cost, and xx are likewise NzW`B^p
represented by linguistic variables. /CIh2
]#e
23. A didactic example is included to illustrate the computational g%k`
procedure L.=w?%:H=
Chapter 1. Introduction w2xG_q
Time `4 y]Z)
1. Over the course of the past 30 years, .. has emerged form intuitive >dM8aJzC
2. Technological revolutions have recently hit the industrial world NOS>8sy
3. The advent of ... systems for has had a significant impact on the ]0r|_)s
4. The development of ... is explored .{S8f#p9T
5. During the past decade, the theory of fuzzy sets has developed in a 9V.u-^o&
variety of directions P5gN #G
6.The concept of xx was investigated quite intensively in recent years DE
IB!n
7. There has been a turning point in ... methodology in accordance jp+_@S>
with the advent of ... -TV?E%r
8. A major concern in ... today is to continue to improve... n$:IVX"2b
9. A xx is a latecomer in the part representation arena. U'*t
~x<
5#E |R
10. At the time of this writing, there is still no standard way of xx }Up.){.%
11. Although a lot of effort is being spent on improving these mw^7oO#
weaknesses, the efficient and effective method has yet to be iL7VFo:Q
developed. HWm#t./
12. The pioneer work can be traced to xx [1965]. 4
m-I5!=O
13. To date, none of the methods developed is perfect and all are far RB?V7 uX
from ready to be used in commercial systems. yE} dj)wd
Objective / Goal / Purpose wLV~F[:
1. The purpose of the inference engine can be outlined as follows: 90xk$3(
2. The ultimate goal of the xx system is to allow the non-experts to ]h9!ei
[
utilize the existing knowledge in the area of manual handling of loads, $t-n'Qh^2
and to provide intelligent, computer-aided instruction for xxx. ^S#t|rN
3. The paper concerns the development of a xx oK9'
4. The scope of this research lies in 19q{6X`x
5. The main theme of the paper is the application of rule-based M|io4+sy
decision making. *V k ^f+5
6. These objectives are to be met with such thoroughness and /hv#CB>1x
confidence as to permit ... ;PyZ?Z;
7. The objectives of the ... operations study are as follows: H0"= Vs,n
8. The primary purpose/consideration/objective of 5f:DN\ ]
9. The ultimate goal of this concept is to provide Brd,Eg
10. The main objective of such a ... system is to 2yo
cu!4l
11. The aim of this paper is to provide methods to construct such |vFj*XU
probability distribution. "'Z- UV
12. In order to achieve these objectives, an xx must meet the $(q>mg:H
following requirements: ]|:uU
13. In order to take advantage of their similarity _U)%kY8
14. more research is still required before final goal of ... can be iz"3\{aN
completed )yxT+g2!
15. In this trial, the objective is to generate... %1:c hvS
16. for the sake of concentrating on ... research issues sNU}n<J
-
17. A major goal of this report is to extend the utilization of a recently tu%[p 4
developed procedure for the xx. Ov9Q?8KzM
q
S8B##x+=
18. For an illustrative purpose, four well-known OR problems are DHfB@/
q#
studied in presence of fuzzy data: xx. W$?e<@
19. A major thrust of the paper is to discuss approaches and UU@fkk
strategies for structuring ..methods q9}
m!*8e
20. This illustration points out the need to specify ,|To#umym>
21. The ultimate goal is both descriptive and prescriptive. V{Q kN7-
22. Chapter 2. Literature Review Jfg7\&|
23. A wealth of information is to be found in the statistics literature, B/eaqJ
for example, regarding xx );}t&}
24. A considerable amount of research has been done .. during the +2T!z=
last decade /r.6XZs6
25. A great number of studies report on the treatment of MC=G "m:_
uncertainties associated with xx. RazBc .o<
26. There is considerable amount of literature on planning h[=nx^
27. However, these studies do not provide much attention to u.6P-yh
uncertainty in xx. ^@.G,u
28. Since then, the subject has been extensively explored and it is ]
h~o],:
still under investigation as well in methodological aspects as in dbO#
concrete applications. i7eI=f-Q
29. Many research studies have been carried out on this topic. 9qH[o?]
30. Problem of xx draws recently more and more attention of system LV.&>@*
analysis. k:P$LzIB
31. Attempts to resolve this dilemma have resulted in the NfF~dK|
development of %D^bahf
32. Many complex processes unfortunately, do not yield to this |%ZpatZA5
design procedure and have, therefore, not yet been automated. H~m]nV,r
33. Most of the methods developed so far are deterministic and /or 'TX M{RGw
probabilistic in nature. RG?MRxC
34. The central issue in all these studies is to -2lRia
35. The problem of xx has been studied by other investigators, R=35
7^[R
however, these studies have been based upon classical statistical .Z5[_'T
approaches. 37KU~9-A
36. Applied ... techniques to *g$agyOfh
37. Characterized the ... system as [.U^Wrd
m"-G6BKS
38. Developed an algorithm to 2v\W1VF
39. Developed a system called ... which U_*3>Q
40. Uses an iterative algorithm to deduce A\C'dZ <N
41. Emphasized the need to !Mil?^
42. Identifies six key issues surrounding high technology {_as!5l
43. A comprehensive study of the... has been undertaken YOKR//|3
44. Much work has been reported recently in these filed cUC17z2D
45. Proposed/Presented/State that/Described/Illustrated/ VIYV92[
Indicated/Has shown / showed/Address/Highlights k.{G&]r{
46. Point out that the problem of CK Mv7
47. A study on ...was done / developed by [] e/P4mc)
48. Previous work, such as [] and [], deal only with 7*g(@d
49. The approach taken by [] is TnxU/)
50. The system developed by [] consists )(.%QSA\C
51. A paper relevant to this research was published by [] :o<N!*pT
52. []'s model requires consideration of... L"9 Gc
53. []' model draws attention to evolution in human development b_l.QKk
54. []'s model focuses on... *G9
[j$
55. Little research has been conducted in applying ... to wmiafBA e
56. The published information that is relevant to this research... v0u\xX[H;
57. This study further shows that oc =tI@W
58. Their work is based on the principle of bCt_yR
59. More history of ... can be found in xx et al. [1979]. # a.\P.{L
60. Studies have been completed to established 9yDFHz w
61. The ...studies indicated that +&?'KZ+Z_v
62. Though application of xx in the filed of xx has proliferated in H}(=?}
+
recent years, effort in analyzing xx, especially xx, is lacking. ^xmZ|f-
Problem / Issue / Question +=Yk-nJ
63. Unfortunately, real-world engineering problems such as
a2[8wv1
manufacturing planning do not fit well with this narrowly defined ]|;7R^o3|
model. They tend to span broad activities and require consideration >|5XaaDa
of multiple aspects. v<%]XHN
64. Remedy / solve / alleviate these problems FBcm;cjH
67. ... is a difficult problem, yet to be adequately resolved v)%[
H
kSL5@
68. Two major problems have yet to be addressed { _-wG3f|
69. An unanswered question HqB|SWyK
70. This problem in essence involves using x to obtain a solution. Q;
=6ag'
71. An additional research issue to be tackled is .... (K
<Z=a
72. Some important issues in developing a ... system are discussed KU*`f{|
73. The three prime issues can be summarized: SHytyd
74. The situation leads to the problem of how to determine the ... a4Ls^
75. There have been many attempts to ?VUgwP_=
76. It is expected to be serious barrier to "^Y6ctw
77. It offers a simple solution in a limited domain for a complex e21E_exM0
problem. #_on{I
1. There are several ways to get around this problem. -3u@hp_
2. As difficult as it seems to be, xx is by no means new. kboizJ
p
3. The problem is to recognize xx from a design representation. {qJHL;mP:8
4. A xx problem can trace its roots to xx.
{VS''Lv
5. xx [1987] used a heuristic approach to simplify the complexity of bcUC4g\
9N
the problem. :U!'U;uQ
6. Several problems are associated with them. /A%om|+Gq
7. Although some progress has been made in this area, at least two MV%
:ES?
major obstacles must be overcome before a fully automated system GU:r vS!
can be realized. hN Z4v/
8. Most problems in practice are complicated }Q47_]5
9. More problem surface here. av'd%LZP
10. Hamper effort toward a xx system cWgbd^J
11. In order to overcome the limitations due to incomplete and HyZVr2
imprecise xx knowledge, a xx program has been developed, which \Oi5=,
bases its knowledge upon the statistical analysis of a sample k&MlQ2'!<
population of xx z\xiACIc
12. The above difficulties are real challenges faced by researchers b*btkaVue
attempting to develop )j{WeG7L
13. This type of mapping raises no controversy to the issue of ,k4z;
membership function determination. X_vI0YX9
14. However, attempts to quantify the xx have met both theoretical Q3Ny5 G>
and empirical problems. 4w;rl(s
h5LJijJ
15. It has become apparent that in order to apply this new f?/|;Zo4
methodological framework to real-world problems and data, we have ?l)}E
to pay attention to the problems of xx and xx. dH
^b)G4
Chapter 3. Proposed methodology bs<WH`P
Assumption U@o2gjGN
1. In the case when the assumption of a xx seems to be too wJapGc!
restrictive or inadequate, the formulation with Fuzzy termination g_rA_~dh
time, i.e. given by a fuzzy set in the space of control stages, may be nU=f<]S=
applied. I><99cwFI
2. We assume here the fuzzy constraints to be state-dependent, and x:f|3"\s
the fuzzy goal to be the same for all the control states, xx, which 0C7thl{Dms
stems from the problem's nature. LV}UBao5n
3. An approach to the solution of this problem is presented under the M3ecIVm8(
assumption that the sampling rate Decision can be made prior to the }vXA`)Ns
execution of the experiment, as opposed to being made while the ?#V
P)A
experiment is in progress. K B`1% =
4. Another assumption made above is that there are precise odds at SX_kr^#
which the expert is indifferent. +XU$GSw3(
5. Main simplifying assumptions are: -(4E
6. This, in our view, is a questionable assumption. EWuiaw.
Outline / Structure / Module beN>5coP%A
1. An outline of the research w*&n(zJF>
2. Information is incorporated within the scheme +P>
A
P&
3. Is built into ... structure ]X>QLD0W
4. A nice modular structure. ;
JPb
Bwm
5. The principles of ... are applied as modularized criteria :=iM$_tp'
Classification ZbZAx:L
1. A xx system comprises three main components: 'gk81@|
2. Must decompose the original .. into a set of .. (!XYH@Mz<w
3. Consists of the following steps: c{]r{FAx9o
4. This is summarized in the following steps: 1A`?y&
Ll
wB1|r{
5. Can be broadly classified into the following areas: q/rHHuY}
6. Can be characterized by its function of effectively processing the PO1:9
7. Can allow further breadth of application of ...into more bG?WB,1
8. The following steps should be followed 7tf81*e
9. xx can be classified by a different ways.
bgzT3KZ
10. Based on the xx, one may classify xx into the following: G+ $)W
u
11. This catalog may change due to wear, breakage, and purchasing. <QkN}+B=
System ERX
|cc
1. Unlike many conventional program, expert systems do not "dLMBY~
usually deal with problem for which there is clearly a right or wrong Vav+$l|j@
answer. `:bvuc(
2. The system consists of both ... and ... Q#J>vwi=
3. The system has a hierarchical modular architecture organized on z2s|.M]&-D
three levels. 0ez
i?Um
4. expert system domains are area of expertise u':0"5}
5. To develop a xx system for xx, the following factors must be 9
.&Or4>
considered: yqVaA 'w5
6. The system has been developed / designed to determine >QZt)<[
7. The system has proven to be able to PG v}fEH"
8. The domain in which an expert system operates is a particular tXG4A$(2&
domain @k:f}-t
9. The system comprises a ... with c
&Su d, &
10. The system is [feature-oriented ] / based on the ... technique Kz3h]/A.
11. The system environment must be relatively stable s:jL/%+COZ
12. The system is utilized to generate, load, store, update and kq1M<lk
retrieve ... Ti@P4:q
13. The development of a xx system has two stages: xx stage and xx 9tc@
stage. l=-dK_I?
14. The most essential part of .. system is the ... HDW\S#
15. The successful developments in ESs have made them an K}5$;W#
important tool in the development of qLW-3W;WUH
16. An automated system was developed for T`'3Cp$q
17. In this case, the system can be considered to be generative. ,f/IG.
>g
i{x|/
18. An interactive automatic ... system i2ml[;*,N
19. A …. is commonly thought of as a truly integrated .. system A^Hp #b@
20. Should be capable of being generated from a ... system %wjU^Urya
21. xx is an important part of the integrated system. A$"$`)P!
22. The model consists of four rule bases, each of which addresses a *}iT6OJ
separate problem in the hierarchy of scheduling decision. |C2.Zay
23. The rule bases are linked to each other in a chin-like manner in ,tR'0&=
the sense that the consequent of one rule base constitutes a part of qf&a<[p~
the antecedent of the next rule base. pYhI{
24. The rule base consists of all possible combinations of the OB
i!fLa
linguistic terms associated with the linguistic variable of the 7E6?)bgh
antecedent of a rule.
@Kb|
Computer System c{4nW|/
W
1. The system has been implemented using Prolog language in an eg~^wi
MS-DOS environment. Prolog was chosen because it offers a well cSs/XJZ
known and flexible environment in which fuzzy reasoning may be O7CYpn4<7
easily implemented. +U/ "F|M
2. The current version of the xx program when compiled with 5~R{,]52
WATFOR77 results in an executable code of about 270K bytes. w>q_8V_K
Typical run time, when run on a XX computer (an IBM compatible +VW]%6+
machine) operating at 4.77 Mhz with 640K RAM, ranges from 10 min D i1G
to 2h, depending on the size (or complexity) of the problem. H=BR
-
3. Time consuming procedures have been implemented in =$zr
t
C-language and directly linked to the Prolog environment. \w_[tPz}
4. The xx process, once the xx's data has been entered, requires Uus)2R7
approximately 180 seconds. WI4_4
5. It should be noted that the computation was done with a 20 Hhz, .p0n\$r
80386..209;based microcomputer equipped with a 80387 math v%7JZ<I'A
co-processor. 9a Ps_|C
6. The computer programs used for the analyses, one based on the xx +~k,4
method and the other based on the new method, were written in k 5r*?Os
FORTRAN with a compiler that supports the math co-processor. vHe.+XY
7. Lisp, Prolog give maximum flexibility but also maximizes $I0a2Z=dP
l
YA+k
5
development time. #YVD
OR{z
l Internal representation is the way a model is represented in the XN%D`tbvJ
computer. 00wH#_fm
l An interactive menu-driven procedure is used in this study CrX-?$
l Shell can be develop very fast at the cost of time fairly severe "m)O13x
limitations.
'u%;6'y
l While there is no measurable saving of time for the case involving Z$K%@q,10+
five criteria, the saving is dramatic for the case involving 10 criteria \`9|~!,Ix7
-- the computation time reduces from 10 hr 40 min to about 1 min. 9JeGjkG,
l This combination is being implemented in an objected-oriented xT(.#9
programming environment (Smalltalk-80 system) to solve problems u}0t`w:
encountered in construction xxx. HY#("=9< h
Method / Approach / Study / Process Model / Equation /Algorithm / a2)*tbM9\
Rule / Formula / Technique ky"7 ^
l A discussion is presented of a problem-solving system l{{ #tW
l To improve the efficiency of the method, the following approach zMg^2{0L
may be applied. sW`iXsbWM>
l In order to an investigation was made to find the causes of the UM^hF%
l Although large collections of rules and equations have been fkG"72 95A
complied, none are generally accepted 3CL:VwoW
l This approach will be explained and discussed thoroughly in the }E_zW.{!
body of the report. V:np cKpu
l This can be accomplished by IiU|@f~k
l This algorithm to compute the total cost can be described step by cv&hT.1
step as follows: Ho9*y3]
l The above preliminary analysis has provided important y!Eh /KD
information nI` 1@vB&
l Various methods have been proposed for selecting an optimum...
0(.C f.B~
l These concepts have been applied to zy5bDL -
l On the basis of the concept mentioned above, \Bf{/r5x
l This can be achieved by XiUsaoQm3
l This fact suggests that a new concept P|4a}SWU
l This was accomplished by taking ... o{eG6
|MGw$
l The preparatory stage is very time consuming process. ijT^gsLL
l Test are performed for validity, completeness, and compatibility q9Wtu7/
l There is little hope of achieving successful ... 4cL=f
l There has been an increasing awareness of the potential of using ENr&k(>0HQ
most ..so far made have not taken this approach, with the exception i;7jJ(#V
of x-EAu3=V
l Only a few studies can be found. <aS1bQgaU
l It is a very tedious process to go through =^{+h>#s@
l It is only when .. has been completed that .. may be effected +z_0 ?x
l The entire interpretation process is conducted in one's head. CK%W+";
l These approaches are sometimes very tedious. 1,,: 4*)
l Several techniques can be used (n G
l A polynomial parametric model can be written as [the Obm\h*$
following]/[follows]: \(s";@
l A xx model is constructed/formulated using xx. f&J*(F*u
l A xx model represents an xx by its xx. g>{=R|uO5
l A process decision model captures the logic essential to ME"/%59r
l From the equation above, xx is equal to the summation of xx sP#5l @
times the ... a'r\e2/e?H
l The validity of a xx model can be checked using Euler's formula. 1>LquZ+Kj
l Given a model, one can mathematically determine whether ... or ... %\u>%s<9
l Equations for xx need to be derived and implemented in the _`_$UMK
;
system. )ALcmC?!#
l A number of heuristic rules have been developed for 5Dd;?T>
l Optimum .. techniques can be made more reliable by ... so that G}x^PJJt
l An algorithm based on the characteristic ... is used to determine >{[J
+f{~|
l Euler's formula states the following: {[eY/)6H
l The completed model should agree with the formula. G}g+2`
l For manufacturing purposes, a detailed and precise model of the idQr^{
object is necessary C.|MA(7
l Engineering design models are very well defined; therefore,
x1Uj4*Au
l To keep the domain narrow enough to be implementable, yet wide fQ@["b
enough to p
E#0949
be useful. S!uyplYKF
l?d*g&
Point of View 3z#16*
l from an implementation standpoint, $t^`Pt*:u
l From the point of view of this application, "
xKJ?8
l From this point of view, Zadeh suggested an inference rule named b^1!
_1c
xxx (CRI for short). NB[b[1 Ch
l Information is the meaningful interpretation and correlation of JL1Whf
some aggregation of data in order to allow one to make decisions. is,_r(S
l From a practical point of view, the computational aspects of an N
gr7E
FLC require a simplification of the fuzzy control algorithm. 1]"b.[P>
l The use of a hammer to insert screws, although partly effective, 2KU[Yd
tends to distort, destroy, and generally defeat the purpose of using a Y0DBkg
screw [Kusiak AI Implications for CIM p.129] s;L7
_.hH@
Justification 16AYB17
l We choose the so called xx in our experiment because it has 3OT
SLF/
received wide acceptance and can 8"? t6Z;5
l Prolog was chosen because it offers a well known and flexible 0I,-1o|s
environment in which fuzzy reasoning may be easily implemented. %',.
K)IR
l The rationale behind this is that it can be much easier for an i;cqK&P;]
estimator to rate a cost as high than to attempt to place a dollar {?82>q5F
value on the estimate. Wn|w~{d{
l This strategy has been widely used in fuzzy control applications h4]yIM`8d
since it is natural and easy to implement. MD&Ebq5V
l A function definition expresses the membership function of a ibh!8" [
fuzzy set in a functional form, typically a bell-shaped function, etc. y5>H>NS
Such functions are used in FLC because they lead themselves to t>^An:xT
manipulation through the use of fuzzy arithmetic. 8[eH8m#~$
l It should be noted that in our daily life most of the information on jGId)f!)
which our decisions are based is linguistic rather than numerical in `6'fX[j5
nature. Seen in this perspective, fuzzy control rules provide a natural e4t'3So
framework for the characterization of human behavior and decisions 7 'N&jI
analysis. S?&ntUah
l Many experts have found that fuzzy control rules provide a (2X`imJ
iCx}v[;Ol
convenient way to express their domain knowledge. This explains ((#|>W\&