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Beginning 6ryak!|[
1. In this paper, we focus on the need for Pw7]r<Q
2. This paper proceeds as follow. z0p*
Z&
3. The structure of the paper is as follows. <EB+1GFuI
4. In this paper, we shall first briefly introduce fuzzy sets and related i
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concepts fcRxp{*zO
5. To begin with we will provide a brief background on the xd q?/^E
Introduction !*F1q|R
1. This will be followed by a description of the fuzzy nature of the @; zl
problem and a detailed presentation of how the required J{p1|+h%
membership functions are defined. g2LM_1\
2. Details on xx and xx are discussed in later sections. h:b)Wr
3. In the next section, after a statement of the basic problem, various DkY4MH?
situations involving possibility knowledge are investigated: first, an RE7?KR>
entirely possibility model is proposed; then the cases of a fuzzy b,l$1{
service time with stochastic arrivals and non-fuzzy service rule is 67JA=,EE
studied; lastly, fuzzy service rule are considered. :j9l"5"
Review 6@h/*WElG
1. This review is followed by an introduction. M)J5;^
["
2. A brief summary of some of the relevant concepts in xxx and xxx is =1FRFZI!j
presented in Section 2. }WC[$Y_@
3. In the next section, a brief review of the .... is given. \+oQd=K@
4. In the next section, a short review of ... is given with special regard r_)' Ps
to ... k_L7 kvpt
5. Section 2 reviews relevant research related to xx. BM%e0n7
6. Section 1.1 briefly surveys the motivation for a methodology of q~b&
action, while 1.2 looks at the difficulties posed by the complexity of )Ys x}vS Z
systems and outlines the need for development of possibility /wQy17g
methods. oA7tEu
Body (Z+.45{-
1. Section 1 defines the notion of robustness, and argues for its 6y-@iJ*ld;
7Kr*P<-G
importance. |PvPAPy)uu
2. Section 1 devoted to the basic aspects of the FLC decision-making .wEd"A&j
logic. SXSgld2uS
3. Section 2 gives the background of the problem which includes xxx bQzZy5,
4. Section 2 discusses some problems with and approaches to, )
nC]5MXU
natural language understanding. P>y@kPi
5. Section 2 explains how flexibility which often ... can be expressed 5N#aXG^9
in terms of fuzzy time-window NlA,'`,
6. Section 3 discusses the aspects of fuzzy set theory that are used in 8 `v-<J
the ... paA(C|%{
7. Section 3 describes the system itself in a general way, including :tc@2/>!O
the ….. and also discusses how to evaluate system performance. pE3
?"YO
8. Section 3 describes a new measure of xx. rP'me2
B
9. Section 3 demonstrates the use of fuzzy possibility theory in the %HhBt5w
analysis of xx. [CTnXb
10. Section 3 is a fine description of fuzzy formulation of human B5,N7z34F
decision. K6)
Gc%:`
11. Section 3 is developed to the modeling and processing of fuzzy v1
#otrf
decision rules 4V"E8rUL(
12. The main idea of the FLC is described in Section 3 while Section 4 O"+gQXe
describes the xx strategies. "-Mp_O]
13. Section 3 and 4 show experimental studies for verifying the h!,v/7=
proposed model. %6t:(z
14. Section 4 discusses a previous fuzzy set-based approach to cost lPe&h]@ >
variance investigation. 9V a}I-
15. Section 4 gives a specific example of xxx. QDZWX`qw{
16. Section 4 is the experimental study to make a fuzzy model of 9v#CE!
memory process. A_rGt?i
17. Section 4 contains a discussion of the implication of the results of JT~4mT
Section 2 and 3. TbMW|0 #w
18. Section 4 applies this fuzzy measure to the analysis of xx and "BAK !N$9
illustrate its use on experimental data. g/4[N{Xf
19. Section 5 presents the primary results of the paper: a fuzzy set V( }:=eK
model .. Xa[.3=bV?
^"E^zHM(
20. Section 5 contains some conclusions plus some ideas for further />C^WQI^
work. 7K12 G!)
21. Section 6 illustrates the model with an example. p;a,#IJu
22. Various ways of justification and the reasons for their choice are #{0HYg?(f
discussed very briefly in Section 2. 5;
C|
23. In Section 2 are presented the block diagram expression of a ,};&tR
whole model LPXi+zj
of human DM system g_E$=j92v
24. In Section 2 we shall list a collection of basic assumptions which . P viA
a ... scheme must satisfy. 5{TsiZh4
25. In Section 2 of this paper, we present representation and RIR\']WN
uniqueness theorems for the fundamental measurement of fuzziness a9e>iU
when the domain of discourse is order-dense. wKh4|Ka
26. In Section 3, we describe the preliminary results of an empirical ]Ee?6]b
N
study q~Hn-5H4Q
currently in progress to verify the measurement model and to 8bGd} (
construct membership functions. thh.A
27. In Section 5 is analyzed the inference process through the two + /G2fhE
kinds of inference experiments... 2YL?,uLS
This Section 299H$$WS,Z
1. In this section, the characteristics and environment under which D_ 2:k'4
MRP is designed are described. ux-/>enc
2. We will provide in this section basic terminologies and notations @/~om g}R
which are necessary for the understanding of subsequent results. zC:ASt
Next Section u2I*-K
2. The next section describes the mathematics that goes into the D>r&}6<
computer implementation of such fuzzy logic statements. <\y@*fg+
3. However, it is cumbersome for this purpose and in practical ,oe <
applications the formulae were rearranged and simplified as eu|YCYj)g
discussed in the next section. ?PxP% $hS
4. The three components will be described in the next two section, w_c"@CjkE
and an example of xx analysis of a computer information system will qArM|\l1
"9uKtQS0o
then illustrate their use. yF:1( 4
5. We can interpret the results of Experiments I and II as in the t,Lrfv])
following sections. G5_=H,Vmd
6. The next section summarizes the method in a from that is useful tIi&;tw]
for arguments based on xx OO\+J
Summary 2szPAu
N+
1. This paper concludes with a discussion of future research 7Die
FZ?
consideration in section 5. GKqm&/M*=
2. Section 5 summarizes the results of this investigation. %Xd[(Q)
3. Section 5 gives the conclusions and future directions of research. 4B;=kL_f
4. Section 7 provides a summary and a discussion of some extensions "^[ 'y7i
of the paper. 9=M$AB
5. Finally, conclusions and future work are summarized YqD=>P[O
6. The basic questions posed above are then discussed and m 0C@G5
conclusions are drawn. h&iC;yj=
7. Section 7 is the conclusion of the paper. \7eUw,~Q>
Chapter 0. Abstract c]<5zyl"j1
1. A basic problem in the design of xx is presented by the choice of a ]m q|w
xx rate for the measurement of experimental variables. wm@@$
2. This paper examines a new measure of xx in xx based on fuzzy
+E+p"7
mathematics which overcomes the difficulties found in other xx s^TZXCyF o
measures. '
BxX0
3. This paper describes a system for the analysis of the xx. =Bey gT^
4. The method involves the construction of xx from fuzzy relations. [aLI
'
5. The procedure is useful in analyzing how groups reach a decision. B@))8.h]
6. The technique used is to employ a newly developed and versatile dQX6(Jj
xx algorithm. jd"@t*ZV
7. The usefulness of xx is also considered. ?R
'r4P,
8. A brief methodology used in xx is discussed. qkqIV^*R
9. The analysis is useful in xx and xx problem. \l0[rcEf
10. A model is developed for a xx analysis using fuzzy matrices. fbvL7*
(
11. Algorithms to combine these estimates and produce a xx are W
i.&e
>6-`}G+|
presented and justified. }v{LRRi
12. The use of the method is discussed and an example is given. Vp\,
CuQ
13. Results of an experimental applications of this xx analysis BOX2O.Pm
procedure are given to illustrate the proposed technique. }>|s=uGW
14. This paper analyses problems in W@IQ^
}E
15. This paper outlines the functions carried out by ... Dy&i&5E.-l
16. This paper includes an illustration of the ... j;r-
NCBnz
17. This paper provides an overview and information useful for JR|ck=tq
approaching HJH{nz'Lw
18. Emphasis is placed on the construction of a criterion function by v1JzP#
which the xx in achieving a hierarchical system of objectives are $I>w]
evaluated. kZ:ZtE
19. The main emphasis is placed on the problem of xx N"R]Yp;j
20. Our proposed model is verified through experimental study. @HC Vmg:
21. The experimental results reveal interesting examples of fuzzy kTB0b*V
phases of: xx, xx 0+ '&`Q!u
22. The compatibility of a project in terms of cost, and xx are likewise vr l-$ii
represented by linguistic variables. _[3D
23. A didactic example is included to illustrate the computational BO&bmfp7,
procedure ;'K5J9k
Chapter 1. Introduction yyJf%{
Time jr."I+
1. Over the course of the past 30 years, .. has emerged form intuitive ,4$>,@WW~
2. Technological revolutions have recently hit the industrial world 59A}}.@?m
3. The advent of ... systems for has had a significant impact on the p2](_}PK
4. The development of ... is explored ~
7s!VR
5. During the past decade, the theory of fuzzy sets has developed in a 0~S^Y1hH
variety of directions niyV8
v
6.The concept of xx was investigated quite intensively in recent years 9A=,E&
7. There has been a turning point in ... methodology in accordance IJ"q~r$
with the advent of ... T
5h
H
8. A major concern in ... today is to continue to improve... +<C!U'
9. A xx is a latecomer in the part representation arena. ~?BXti<!
ZE}}W_
10. At the time of this writing, there is still no standard way of xx ez$(c
11. Although a lot of effort is being spent on improving these }7Q% 6&IR
weaknesses, the efficient and effective method has yet to be y)@wjH{6
developed. yN-9[P8C
12. The pioneer work can be traced to xx [1965]. bH~dJFj/
13. To date, none of the methods developed is perfect and all are far [W&T(%(W-
from ready to be used in commercial systems. hgq;`_;1,
Objective / Goal / Purpose fJg+ Ryo
1. The purpose of the inference engine can be outlined as follows: $UwCMPs X
2. The ultimate goal of the xx system is to allow the non-experts to ~xFkU#
utilize the existing knowledge in the area of manual handling of loads, a7opCmL
and to provide intelligent, computer-aided instruction for xxx. [
/r(__.
3. The paper concerns the development of a xx ^2rN>k,?
4. The scope of this research lies in Le^ n +5x
5. The main theme of the paper is the application of rule-based SXh-A1t
decision making. |G<|F`Cj
6. These objectives are to be met with such thoroughness and :A;RH
confidence as to permit ... flx(HJK
7. The objectives of the ... operations study are as follows: ]SE
ZaT
8. The primary purpose/consideration/objective of
$??I/6
9. The ultimate goal of this concept is to provide 2=}FBA,2
10. The main objective of such a ... system is to
Hl=xW/%6y
11. The aim of this paper is to provide methods to construct such i|kRK7[6B
probability distribution. !4!~Lk=
12. In order to achieve these objectives, an xx must meet the DY*N|OnqJ
following requirements: %C]>9."
13. In order to take advantage of their similarity 7
tp36 TE
14. more research is still required before final goal of ... can be P+}h$_x
completed zbiL P83
15. In this trial, the objective is to generate... /dHF6yW
16. for the sake of concentrating on ... research issues a+QpM*n7Lq
17. A major goal of this report is to extend the utilization of a recently 5h*p\cl!Y
developed procedure for the xx. Hn:Crl y#
vDvFL<`vmD
18. For an illustrative purpose, four well-known OR problems are `D9$v(Ztr
studied in presence of fuzzy data: xx. l
,).p
19. A major thrust of the paper is to discuss approaches and 2<3K3uz
strategies for structuring ..methods B5QFK
20. This illustration points out the need to specify
wIgS3K
21. The ultimate goal is both descriptive and prescriptive. Ys7]B9/1O
22. Chapter 2. Literature Review I1J-)R+
23. A wealth of information is to be found in the statistics literature, =~
gvZV-<
for example, regarding xx JXxwr)i
24. A considerable amount of research has been done .. during the fQFk+C
last decade '%;m?t%q
25. A great number of studies report on the treatment of PY'2h4IL
uncertainties associated with xx. E-FUlOG&
26. There is considerable amount of literature on planning W*G<X.Hf
27. However, these studies do not provide much attention to *WZA9G#V
5
uncertainty in xx. Y0>
@vTUX
28. Since then, the subject has been extensively explored and it is SX#&5Ka/
still under investigation as well in methodological aspects as in [>9is=>o.
concrete applications. jWgX_//!
29. Many research studies have been carried out on this topic. *^r}"in
30. Problem of xx draws recently more and more attention of system |BYRe1l6l
analysis. X-/]IHDN
31. Attempts to resolve this dilemma have resulted in the y>LBl]
development of bd`P0f?
32. Many complex processes unfortunately, do not yield to this R-14=|7a-
design procedure and have, therefore, not yet been automated. 3XKf!P
33. Most of the methods developed so far are deterministic and /or <Z$J<]I
probabilistic in nature. (%9$! v{3
34. The central issue in all these studies is to ?cZlN!
35. The problem of xx has been studied by other investigators, ,,TnIouy
however, these studies have been based upon classical statistical QL* IiFR
approaches. '>"
4
36. Applied ... techniques to Mi
hg:
37. Characterized the ... system as
5dg(e3T
4+ig'
|o
38. Developed an algorithm to v,t:+
!8
39. Developed a system called ... which j.YA2mr
40. Uses an iterative algorithm to deduce @pxcpXCy
41. Emphasized the need to aDCwI :Li(
42. Identifies six key issues surrounding high technology H.0K?N&\?>
43. A comprehensive study of the... has been undertaken E'8;10s
44. Much work has been reported recently in these filed @XVTU
45. Proposed/Presented/State that/Described/Illustrated/ 4I7>f]=)
Indicated/Has shown / showed/Address/Highlights ;Xw~D_uv
46. Point out that the problem of ~5g ~;f[4
47. A study on ...was done / developed by [] [
3HfQ
48. Previous work, such as [] and [], deal only with wS*E(IAl
49. The approach taken by [] is O@P"MXEG
50. The system developed by [] consists K%d&E
YoW]
51. A paper relevant to this research was published by [] o}!PQ#`M
52. []'s model requires consideration of... DrQ`]]jj7
53. []' model draws attention to evolution in human development =#\:}@J5I
54. []'s model focuses on... ;);kEq/=P
55. Little research has been conducted in applying ... to D]}G.
v1
56. The published information that is relevant to this research... M}Sv8D]I
57. This study further shows that #*}+J3/
58. Their work is based on the principle of ?8$Q-1=
59. More history of ... can be found in xx et al. [1979]. oQ# 8nu{k
60. Studies have been completed to established #S(Hd?34,
61. The ...studies indicated that XRH!]!
62. Though application of xx in the filed of xx has proliferated in nlYNN/@"
recent years, effort in analyzing xx, especially xx, is lacking. &vJH$R
Problem / Issue / Question r,udO,Yi=c
63. Unfortunately, real-world engineering problems such as "8RSvT<W^5
manufacturing planning do not fit well with this narrowly defined G9lUxmS<
model. They tend to span broad activities and require consideration eJSxn1GW
of multiple aspects. . ^u,.
64. Remedy / solve / alleviate these problems T|p"0b A
67. ... is a difficult problem, yet to be adequately resolved N$DkX)Z
RpK@?[4s
68. Two major problems have yet to be addressed '7/)Ot(
69. An unanswered question /,dz@
70. This problem in essence involves using x to obtain a solution. S:Hl/:iV
71. An additional research issue to be tackled is .... >V937
72. Some important issues in developing a ... system are discussed GmG5[?)
73. The three prime issues can be summarized: 9z0p5)]n>
74. The situation leads to the problem of how to determine the ... d1*<
Ll9K
75. There have been many attempts to nNm`Hfi
76. It is expected to be serious barrier to <GJbmRc|
77. It offers a simple solution in a limited domain for a complex cR{#V1Z
problem. v^iAD2X/F
1. There are several ways to get around this problem. ;`Z{7'^U
2. As difficult as it seems to be, xx is by no means new. FlQGgVN
3. The problem is to recognize xx from a design representation. ZC?Xqp
4. A xx problem can trace its roots to xx. cS$_\65
5. xx [1987] used a heuristic approach to simplify the complexity of (BM47D=v
the problem. FsPw1A$y
6. Several problems are associated with them. $:6!H:ty
7. Although some progress has been made in this area, at least two #z(]xI)"
major obstacles must be overcome before a fully automated system H+#FSdy#
can be realized. /}$+uBgJm
8. Most problems in practice are complicated |:o4w
9. More problem surface here. [WJ+h~~
o
10. Hamper effort toward a xx system Smh,zCc>s
11. In order to overcome the limitations due to incomplete and 7^Uv7<pw
imprecise xx knowledge, a xx program has been developed, which TvM~y\s
bases its knowledge upon the statistical analysis of a sample [Pp'Ye~K@c
population of xx
y7{?Ip4[
12. The above difficulties are real challenges faced by researchers ]|@^1we
attempting to develop <q836]aaA
13. This type of mapping raises no controversy to the issue of bD^owa
membership function determination. CITc2v3a
14. However, attempts to quantify the xx have met both theoretical !Cs_F&l"j
and empirical problems. Sdo-nt
hPh-+Hb
15. It has become apparent that in order to apply this new nTas~~Q
methodological framework to real-world problems and data, we have n<
,BmVQ
to pay attention to the problems of xx and xx. 0K+ne0I
Chapter 3. Proposed methodology ]5O~+Nf
Assumption 0b>h$OU/
1. In the case when the assumption of a xx seems to be too DXo|.!P=3
restrictive or inadequate, the formulation with Fuzzy termination J,hCvm
time, i.e. given by a fuzzy set in the space of control stages, may be PCvWS.{
applied. <%d>v-=B
2. We assume here the fuzzy constraints to be state-dependent, and F2WKd1U
the fuzzy goal to be the same for all the control states, xx, which ZNoDFf*h
stems from the problem's nature. sB</DS
3. An approach to the solution of this problem is presented under the Y73C5.dNcE
assumption that the sampling rate Decision can be made prior to the _w{Qtj~s|
execution of the experiment, as opposed to being made while the $`c:&
experiment is in progress. +0&/g&a\R
4. Another assumption made above is that there are precise odds at 2T35{Q!=F
which the expert is indifferent. 1^}+=~
5. Main simplifying assumptions are: f 2.HF@
6. This, in our view, is a questionable assumption. @- xjfC\d
Outline / Structure / Module )UR7i8]!0
1. An outline of the research zdYjF|
2. Information is incorporated within the scheme DF= *_,2/
3. Is built into ... structure \Z/@C lCm
4. A nice modular structure. o4X{L`m
5. The principles of ... are applied as modularized criteria WMdg1J+~
Classification 3$ pX
1. A xx system comprises three main components: %Zi} MPx
2. Must decompose the original .. into a set of .. 29KiuP
3. Consists of the following steps: \e;iT\=.(
4. This is summarized in the following steps: A&VG~r$
SU0
hma8
5. Can be broadly classified into the following areas: CrLrw T
6. Can be characterized by its function of effectively processing the C _Dn{
7. Can allow further breadth of application of ...into more ;TYBx24vD'
8. The following steps should be followed _b 0&!l<
9. xx can be classified by a different ways. UNYqft4
10. Based on the xx, one may classify xx into the following: (zk"~Ud
11. This catalog may change due to wear, breakage, and purchasing. w<#!h6Y=
System &Jj<h: *
1. Unlike many conventional program, expert systems do not 7
I}uZ/N
usually deal with problem for which there is clearly a right or wrong m`XHKRp
answer.
s!J9|]o
2. The system consists of both ... and ... R&&4y 7
3. The system has a hierarchical modular architecture organized on dN q$}
three levels. N7"W{"3D
4. expert system domains are area of expertise s;e\ pt
5. To develop a xx system for xx, the following factors must be >Tgv11[
considered: as|<}:V
6. The system has been developed / designed to determine 1zv'.uu.,
7. The system has proven to be able to %J(:ADu]
8. The domain in which an expert system operates is a particular ye&;(30Oq
domain @JMiO^
9. The system comprises a ... with V
gWRW7Se
10. The system is [feature-oriented ] / based on the ... technique XS#Qu=,-
11. The system environment must be relatively stable #mdc [.
12. The system is utilized to generate, load, store, update and QRUz
`|U
retrieve ... J1k>07}|
13. The development of a xx system has two stages: xx stage and xx D*jM1w_`
stage. |Cv!,]9:r
14. The most essential part of .. system is the ... y[;>#j$
15. The successful developments in ESs have made them an sHj/;
important tool in the development of [Xkx_B
16. An automated system was developed for \bXa&Lq
17. In this case, the system can be considered to be generative. :OT&
c<~H(k'+c
18. An interactive automatic ... system !
nx{
X
19. A …. is commonly thought of as a truly integrated .. system tQVVhXQ7
20. Should be capable of being generated from a ... system mpyt5#f
21. xx is an important part of the integrated system. i8p6Xht
22. The model consists of four rule bases, each of which addresses a PT
~D",k
separate problem in the hierarchy of scheduling decision. *CMx- _
23. The rule bases are linked to each other in a chin-like manner in )J |6 -C
the sense that the consequent of one rule base constitutes a part of rv;3~'V
the antecedent of the next rule base. ceA9){
24. The rule base consists of all possible combinations of the Om&Dw|xG8
linguistic terms associated with the linguistic variable of the Ri'n
antecedent of a rule. !D6]JPX
Computer System 3|7QUld
1. The system has been implemented using Prolog language in an HW|IILFB
MS-DOS environment. Prolog was chosen because it offers a well
kAx4fE[c
known and flexible environment in which fuzzy reasoning may be WIOV2+
easily implemented. nN;u,}e
2. The current version of the xx program when compiled with a*;b^Ze`v
WATFOR77 results in an executable code of about 270K bytes. k)u[0}
Typical run time, when run on a XX computer (an IBM compatible Xj*Wu_
machine) operating at 4.77 Mhz with 640K RAM, ranges from 10 min 5;?yCW
c
to 2h, depending on the size (or complexity) of the problem. 8L XHk l
3. Time consuming procedures have been implemented in 6~{C.No}
C-language and directly linked to the Prolog environment. a.'*G6~Qgw
4. The xx process, once the xx's data has been entered, requires GILfbNcd
approximately 180 seconds. X]=t>
5. It should be noted that the computation was done with a 20 Hhz, R]dg_Da
80386..209;based microcomputer equipped with a 80387 math
g}i61(
co-processor. $(
)>g>%
6. The computer programs used for the analyses, one based on the xx <#.g=ay
method and the other based on the new method, were written in zT/\Cj68
FORTRAN with a compiler that supports the math co-processor. ]9L
oZ)
7. Lisp, Prolog give maximum flexibility but also maximizes f::Dx1VcX
?upM>69{
development time. 598i^z{~0%
l Internal representation is the way a model is represented in the >7r!~+B"9'
computer. / xQPTT
l An interactive menu-driven procedure is used in this study )+M0Y_r
l Shell can be develop very fast at the cost of time fairly severe p'fYULYE
limitations. ] - .aL
l While there is no measurable saving of time for the case involving 8Y3I0S
five criteria, the saving is dramatic for the case involving 10 criteria _U0f=m
-- the computation time reduces from 10 hr 40 min to about 1 min. >+waX"e
l This combination is being implemented in an objected-oriented Ie^l~Gb
programming environment (Smalltalk-80 system) to solve problems 3F0 N^)
@
encountered in construction xxx. ccnK#fn v
Method / Approach / Study / Process Model / Equation /Algorithm / .-=vx r
Rule / Formula / Technique R4@
6G&2d>
l A discussion is presented of a problem-solving system @KA4N`
l To improve the efficiency of the method, the following approach Ug`
djIL
may be applied. b2]Kx&!
l In order to an investigation was made to find the causes of the `kr?j:g
l Although large collections of rules and equations have been w:l
"\Tm
complied, none are generally accepted \f)#>+X-
l This approach will be explained and discussed thoroughly in the V,9cl,z+
body of the report. CNIsZv@Q
l This can be accomplished by Ha ]YJ}
l This algorithm to compute the total cost can be described step by q9NoI(]e
step as follows: Nluoqoac
l The above preliminary analysis has provided important v}(WaO#S
information {PmZ9
l Various methods have been proposed for selecting an optimum... f-2c0Bi
l These concepts have been applied to };g"GNy
l On the basis of the concept mentioned above, Jo}eeJ;k
l This can be achieved by XUw/2"D'?
l This fact suggests that a new concept c(%|: P^
l This was accomplished by taking ... fT{Yg /j
L-\GHu~)
l The preparatory stage is very time consuming process. \;-|-8Q
l Test are performed for validity, completeness, and compatibility -^57oU
l There is little hope of achieving successful ... bF(f*u
l There has been an increasing awareness of the potential of using 2m[<]$
most ..so far made have not taken this approach, with the exception G9:l'\
of UDni]P!E
l Only a few studies can be found. y Wya&|D9
l It is a very tedious process to go through Q
IgNs
z
l It is only when .. has been completed that .. may be effected 8*fv'
l The entire interpretation process is conducted in one's head. JG,%qFlk
l These approaches are sometimes very tedious. 9mFE?J
l Several techniques can be used e]tDy0@
l A polynomial parametric model can be written as [the YF:L)0H'O
following]/[follows]: N36_C;K-z
l A xx model is constructed/formulated using xx. u4_9)P`]0
l A xx model represents an xx by its xx. 42{:G8
l A process decision model captures the logic essential to ,1##p77.
l From the equation above, xx is equal to the summation of xx w-{c.x
times the ... +H
Usz?
l The validity of a xx model can be checked using Euler's formula. pBPl6%C.X-
l Given a model, one can mathematically determine whether ... or ... l0hlM#
l Equations for xx need to be derived and implemented in the QVE6We
system. 6u}</>}
l A number of heuristic rules have been developed for $2el&I
l Optimum .. techniques can be made more reliable by ... so that 65m"J'
l An algorithm based on the characteristic ... is used to determine fg{n(TE"8
l Euler's formula states the following: Y)a^(!<H<
l The completed model should agree with the formula. vA.MRu#
l For manufacturing purposes, a detailed and precise model of the W 8!Qv8rf
object is necessary /^|Dbx!u
l Engineering design models are very well defined; therefore,
4YX3+oS
l To keep the domain narrow enough to be implementable, yet wide *
+wW(#[
enough to F.v{-8G
V
be useful.
EUgs6[w 4
H]jhAf<h
Point of View CWP2{
l from an implementation standpoint, O s.4)
l From the point of view of this application, .@Dxp]/B}
l From this point of view, Zadeh suggested an inference rule named Iy3GE[
xxx (CRI for short). dmN&+t
l Information is the meaningful interpretation and correlation of aCLq k'
some aggregation of data in order to allow one to make decisions. XN
u^`Ha
l From a practical point of view, the computational aspects of an rI-%be==
FLC require a simplification of the fuzzy control algorithm. lR6x3C
H@
l The use of a hammer to insert screws, although partly effective, r_;Nt
tends to distort, destroy, and generally defeat the purpose of using a g^ i&gNDx
screw [Kusiak AI Implications for CIM p.129] xLZG:^(I
Justification *%t^;&x?
l We choose the so called xx in our experiment because it has Yr=Y@~ XL
received wide acceptance and can 3fJc
9|
l Prolog was chosen because it offers a well known and flexible h@WhNk7"xa
environment in which fuzzy reasoning may be easily implemented. 'D"C4;X
l The rationale behind this is that it can be much easier for an .JiziFJ@mj
estimator to rate a cost as high than to attempt to place a dollar x`IEU*z#
value on the estimate. 'xg
Lt(
l This strategy has been widely used in fuzzy control applications JNUt$h
since it is natural and easy to implement. 6ez<g
Uf
l A function definition expresses the membership function of a n%s
]30Xs
fuzzy set in a functional form, typically a bell-shaped function, etc. M8b;d}XL
Such functions are used in FLC because they lead themselves to WoRZW%
manipulation through the use of fuzzy arithmetic. s1=G;
l It should be noted that in our daily life most of the information on P{+T<bk|
which our decisions are based is linguistic rather than numerical in \:ak ''
nature. Seen in this perspective, fuzzy control rules provide a natural f|lU6EkU
framework for the characterization of human behavior and decisions /&+tf*
analysis. $.r
hRKs
l Many experts have found that fuzzy control rules provide a xJ)n4)
|CZ@te)>
convenient way to express their domain knowledge. This explains in- HUG
why most FLCs are based on the knowledge and experience which > eIP.,9
are expressed in the language of fuzzy "if-the" rule. 1gy.8i
Chapter 4. Examples K;z7/[%
Example/ Data V<uR>TD(
l The data used in the following example was taken from an 04l!:Tp,
experiment in which xx was measured between x and x using a xx `Kr,>sEAM
technique. QKN+>X
l The data consists of over xx measurements. usCt#eZK
l An example of xx is discussed and the control rules of xx are b8SHg^}
compared with a xx a (b#
l Examples of complex processes to which this technique may be j<@lX^
applied are xx, xx, etc. =~H<Z LE+
l The following example is constructed only for the purpose of OAkZKG|
illustrating the computational procedure discussed. 'JfdV%M
l This example clearly demonstrates that the profile of an individual 78# v
xx, or a very small group of xx, with no enough data to be studied QpA/SmJ
statistically, can be meaningfully analyzed by fuzzy possibilistic E!l!OtFL
methods. @u]rWVy;\[
l There is no space here to go into detail on all these methods, but a\E:sPM'>
deserve a mention and the bibliography will point to detailed Z}l3l`h!
references for those wishing this level of detail. .=;3d~.]
l Note that the golf ball spotting example is used throughout the /1Q(b
paper. #( jw!d&
Comparisons E}p&2P+MR
l As well, the pros and cons of these representations from a process U4-g^S[
planning point of view will be discussed. f[a}aZ9)
l The method of using xx to implement xx described by Zadeh ,Pjew%
(1973) appeared more suitable <|
+Ex
l As discussed [in the previous section]/[preciously], "C19b:4H
*ikc]wQr$
Relation FCuB
\Q
l We can not invert F' directly because it defines a many-to-one S=nzw-(I
mapping. r1LViK
l The relationships appear very complicate qI<mjB{3`
l Lifting tasks involve complex and imprecise relationship between JSW}*HR
the task variables and the human operator's characteristics. "zRoU$X
l These methods are based on the relationship between ... and ... mfo1+owT
l The fundamental concept of a fuzzy rating language is that we can jvFTR'R)=
establish a relationship among terms such as high, medium, and low, ?zVL;gVWA
and then modify these relationships. ;)e2@'Agl
l This article will thus mention the latter as well as the former. (egzH?
l The former two bear a close relation to a fuzzy Cartesian product. \lC
Importance Z->p1xkX
l The emphasis is on an implementation of a general approach to C{DvD'^
rule based decision making. YY!6/5*/]
Consideration / Attention a@* S+3
l Careful evaluation is necessary to ensure
{=QiZWu
l Such a formulation does not change further considerations. .dQQoyR+O
l Considerable attention has been paid to KiOcu=F
l Attention should be paid to an important finding of this #x3ujJ
investigation. 6 9NQ]{1
l Caution should be exercised in this process to avoid ... EEZw_ 1
l Primary consideration is given to ... components, though others @kU@N?5e
can be accommodated xz{IH,?IG
l After ... has been defined by ..., a carefully analysis is carried Za8#$`zq
out/performed to determine 5
Ho^N1q
l A number of factors such as ...need to be taken into consideration MxcFvo*LCp
before making the appropriate decision. eT8}
l It should be noted that {aJJ`t
l It is important to point out that ... (B-43!C
l These considerations have heightened interest in the possibility of B7<Kc
providing ... `z
t_7MD
`o?Ph&p}
l We should stress the fundamental importance of the xx vp cr
PVA^
Chapter 5. Results. S^<g_ q
Advantages / Disadvantage \Z/)Y;|mi0
l One of the major advantages of this new measure of xx is that it 0,Y5KE{
can be applied to the experimental study of {$^DMANDx
l One advantage of using a .. is the ease of preparing it. j>/ ,$H
l The xx system is versatile x5WW--YR+
l It has a very fast decision making process U*P. :BvG
l All the algorithms involve mostly logical operations. dG71*)<)t
l It can be easily and without additional cost implemented in a (q7
Ry4-
microprocessor-based environment. &0 BdUU+:<
l It can reduce the waste of designing from scratch. ?k|H3;\
l The advantages of using a xx to represent xx are the following: Q\,o:ZU_
l However, xx is not without its shortcomings. |xvy')(b
l In most cases, the xxx shows an improvement over the existing ?
j
9|5*
xxx. @b3#X@e}
l Compared to the existing xx, the impacts of the xx are generally
5rV((
reduced by 5% to 9%. FG!X"<he
l The "best case" results shows a savings of 6% to 9%. ([VV%ovZ
l Most of the existing works based on xx approach can only b4""|P?L
recognize a xx . F[!ckes<bB
l Most of the above methods are computational expansive and `3'0I /d"z
limited to xx. 1I}b|6
`
l Some other advantages of xx are the following: `g1iCF
l The problem is the limitation of this method to a limited domain of ,*@AX>
parts. ,xT?mt}P
l It proved limited in application because it demanded precision in
2. X
" f
system modeling that was impossible in practice. Y}D onF
l There are advantages to be gained in the structuring of costs and rqlc2m,<-p
benefits, the use of xx, m3g2b _;
l The disadvantages of this method are also disadvantages of M#@aB"@J>
conventional xx approaches. -sMyt
HH.
[!VOw@uz
l This combines the best features of both techniques STA4 p6
l Hopefully, this tool can be as the reference framework of for =4 X]gW
developing a xx platform, and helping the administration, marketing, fXQiNm[P
and knowledge management activities in virtual communities. 1SV^ ){5I
Results N|2y"5
l An improvement on the result shown above can be made by based )2E%b+"
on the data provided b( ^^m:(w
l Discussion of these theories is beyond the scope of this review oAZh~~tp
l Based on the information contained in this (,xZGa
l The result can be categorized into nine classes qUF1XJZ}z
l The results are illustrated by an example GW2')}g
l The experimental results for each xx time are reported in Table 2. YO:&;K%
l From the results obtained so far, it seem that ]^\8U2q}
l Because of the inaccuracy of the ..., a conclusion cannot be drawn - n6jG}01b
as pD@zmCU
l Although much effort has been made to., this reality is far from 8"vwU@cfC
completion. !
qJI'+_
l The results indicate that the total benefits are higher than the H%z@h~s>
total costs. &4$oudn
l Their results may then serve as guidelines for lower level models, u>Ki$xP1
less fuzzy and more detailed. IdM*5Y>f
Chapter 6. Conclusion []&(D_e"
l From the discussion, one may conclude that ... ^i:\@VA:
l Form the above discussion, the conclusion can be reached that <2P7utdZ
l The conclusions drawn are also valid f3
]
l In conclusion to this, it becomes obvious that the problem of xx hWcTI{v
lies not only in... z4}
%TT@^
l We have attempted to introduce some concepts associated with a CM~MoV[k7e
theory of ur2!#bU9
xx based on fuzzy sets. $<ddy/4
l Considerable more work, hopefully, will be done in this area amB@N6*
l A fuzzy set procedure is proposed to solve xx selection problems Y~"9L|`f/
(buw^
,NwZ
interwoven with imprecise data cINHH !v
l Employing the compositional rule of inference, the assessment of 5iWe-xQ>
the xx compatibility in achieving prescribed xx projectiles in any cj(X2L
level of the hierarchy is made possible. <FmBa4ONU
l This paper has presented a theoretical and experimental study of ^&:'NR
the xx process and xx concept. c)1=U_6 1
l The experimental research results will hopefully serve as useful =&0U`P$`
feedback information for improvements for xx work. xVR:;
Jy[
l The scope of this contribution was to introduce a xx method. =FBIrw{w
l In general, fuzzy sets theory provides an alternative foundation |R'i:=
for xx analysis in a fuzzy environment. ~Ob8i 1S>
Future Research Z! YpklZ?~
l Thus, first extension of the approach could be, v"k4ATWP
l Present some cues for a further approach from Fuzzy Sets Theory <-|SIF
application to 98<zCSe\]
l Some improvements to the scheduling aspect of the model may
hh&Js'd
be brought through additional levels in the hierarchy for more %\yK5V5
detailed representation of the scheduling activity.
%
}F"*.
Tables and Figures om7`w
]
l Figure 7-1 sketches these relationships. bhKV +oN
l The graphical representation of these functions is shown in Figure Cj$H[K}>
1. 5<r)+?!n
l The xx may be depicted as in Figure 1. WOH9%xv
l Figure x shows the schematic diagram of the oYqE*mA
l Figure 1 though 2 provide a ... that \DyKtrnm%
l the architecture of this expert system for .... is illustrated in Figure GI4oQcJ
2. k6g|7^es2
l Figure 2 gives the outline of an ... system S&|VkZR)
l Table shows the nCB[4
l as shown in Table 1 and 2 bBFwx @
l This concept is illustrated in Figure 2 )]]|d
l At the top of Table xx are shown two blocks of data. G 4"lZM
ct.Bg)E
l Each table or matrix has constructs xx through xx as >%i9 oI<)
row-headings, dAwS<5!
xx through xx as column-headings. WnO DDr
l A table of .. is developed and significant recommendations are U;>B7X;`E4
made. Ebbe=4
CONJUGATION Qasr:p+
To Indicate Addition vF+YgQ1H
l additionally, again, also, and then, as can be easily understood, EUXV/QV{
besides, equally important, especially, finally, for the same reason, Z
c<]^QR
first, further, furthermore, in addition, last, likewise, moreover, next, ?PYNE
second, third, too, evidently, obviously, roughly speaking, broadly r"1A`89
speaking XNK
43fkB.
To Indicate Cause and Effect PgqECd)f
l accordingly, as a result, consequently, for this reason, hence, in (S 3jZ
short, otherwise, then, therefore, thus, truly &(WE]ziuO
To indicate Comparison 4=UI3 2v3
l in a like manner, likewise, similarly , alternatively 0ZFB4GL
To Indicate Concession Vzk cZK
l after all, although this may be true, at the same time, even though, d[yrNB6|
even so , I admit, naturally, of course 2;O c^
To Indicate Contrast %pd5w~VP
l and yet, at the same time, but, for all that, however, yet, in fact, in Y<de9Z@
contrast, in the real life, in spite of, nevertheless, notwithstanding, Mn-<5 1.%
normally, on the contrary, on the other hand, still, traditionally, AK%=DVkM
rather, unfortunately, Ml8E50t>;
To Indicate Time Relationships: i:\bqK
after a short time, afterwards, as indicated earlier, as long as, as soon 2c!h2$w
S_`W@cp[
as, at last, at length, at the moment, at that time, at the same time, !Jh*a *I}
before, earlier, currently, immediately, in the meantime, in recent <r@
bNx@T
years, lately, later, meanwhile, often, of late, presently, recently, fYv ;TV>73
soon, shortly, since, thereupon, temporarily, therefore, until, when, Cq
TH!'N
while 1 VPg`+o
To Indicate Special Features or Examples: Qu!O
V]Cc
for example, for instance, incidentally, indeed, in fact, in other words, $0ym_6n
in particular, in practice, specifically, that is, to illustrate, in this 1VR qz5
respect, theoretically, as mentioned before / above pq%t@j(X
To Indicate Summary: kOo>Iy
in brief, in conclusion, in short, in summary, on the whole, to \CP*i_:"
conclude B/kcb(5v
, in general, to summarize, to sum up, as a result, ultimately, Iwnj'R7:
VERB PHASE l!xgtP K
l build a .. model C!CaGf=
l build up the key link O8!!UA8V
l began a new era in ... JDIz28 Ww
l can be regarded as / achieved / used to/for / found / obtained Ir'DA_..
through :YkDn~@
l can result in W66}\&5
l carries out ... tasks /DgT1^&0
l production information in order to simultaneously J@=!w[v+
l contains all information necessary to describe s|Imz<IE
l do not make use of production information a,en8+r]
l deals with
Y-
z~#;
l end with failure 4nX'a*'D~}
l fetch the information from the model directly WV9[DFU
l has great potential / yet to be resolved / spurred the 2gK p\!
development of / #d7)$ub
been recognized as LIm$Wl1U
l BE aimed at / built up / carried out by / essentially concerned (7
]
\p
*X"F: 7
with / considered to be the key technology / associated with each X.r!q1_c
feature of a compo [U+<uZzOC
site component / cable of / currently implemented for / 7~Xu71^3s
demonstrated by an example / finally reached / made equal to / "N=&4<]I5
equivalent to / more suitable to / oriented to / interpreted as / F~11 _
pointed out / potentially of great benefit in the complex task of / ul]m>W
shown in / used to effectively guide the search Lt#:R\;&
l makes use of $P1d#;rb%
l make up AmrJ_YP/t~
l meets the needs of real life production,/ the current demands Rwi5+;N
placed upon it Z:}2F^6
l must be justified '<U[;H9\
l point out .WPuQZ!
l play an important role /Wta$!X{-
l relates to o
2$<>1^
l rely on 8?]%Qi
l satisfy the needs r.W"@vc>
l determine the total requirements for the ... x Ps&CyI
l uses ... as a key to search for... Av[|.~g
l without relying on RM/ s:
l will be available/ performed/ overlooked >LRaIU>
NOUN PHASE ]mDsUZf<
l a basic technical function of qoyGs}/I8
l a critical need ABS
BtH ?
l a key / principle feature of o::ymAj
l a substantial impact on A&@jA5Jb
l an intensive review was conducted
=z7Ay
l an increasing need for expanding the application of .... pRyS8'
l an important component / function / aspect / issue bB[*\
l each rule is numbered in sequence 7dL=E"WL
l each of these involves ^SelqX
l for this calculation, it is necessary to define \c`r9H^v{
l in the physical environment / integration of zz''FmedF
?f%DVK d
l in the reality of situations where … ?&t|?@
l many aspects of 8`R}L
l most past efforts have been spent on ... Zm'::+tl
l common sense to a well studied and documented technical field. 4~J1pcBno%
l sources of additional information on ... are listed JT+lWhy
l systematic and rationally structured format 'c\TMb.
l the basis on which a range of ...operations can be established is XdXS^QA.s
shown (VF4]
l THE basic philosophy / principles of / key element / general ;`Ch2b1+
hypothesis / candidate list of / concept of ... has attracted wide Q\th8/ /
interest / function is concerned with / heart / impact / nature / role 2SCf
]&
/ task of / kernel functions Q,+*u%/u
l the number of parts needed to 5~TA(cb5
l the above statement means that /3HWP`<x
l the output data is passed to Woy
[V
l the proposed method / underlying principle +_K;Pj]x
l the recommendations made in this report, if implemented, should ?;kc%Rz
l this information resides in 0BZOr-i
l this process is composed of ... different ... operation wEn&zZjx
l along with the use of 79f
yn!Iz<
l concerning general aspects of :JG}%
l due to YuW\GSV00
l for later use in generating..., n\NDi22
l in turn, _ r)hr7
l IT IS believed / noted / assumed / suggested / shown / quite p{QKj3ov
evident / appears / implies that / intended for / of no important to m<HjL
l it can be claimed/concluded that %Q4w9d
l it demonstrates the decisions required of #6Ph"\G/
l it also provides information to .. CUM~*
l it becomes essential to .VV!$;
FB
l let ... be the probability that 2xxwQwg8
l once... is written, it is compiled into... fmyS#
6"
l suppose it is observed that B{u.Yc:
l this is because O&RHCR-\
?(hQZR
0e
l this results in a I
>zn$d*0
l upon completion of the ... analysis, l3$?eGGM
l when the knowledge is of mathematics or quantum physics, it will r>eXw5Pr7
also be <]`2H}*U'
recorded in books and papers r+yLK(<zp
l selection of rules for using the tools, for generating operation d'J?QH!N0
plans, 2UJ0%k
is another matter of preference, since practice varies greatly. f%l#g ]]
l for the sake of convenience =jHy6)6w
l correct decision to be reach 5qko`r@#
l keeping the number of rules to a minimum. +t6m>IBu
l a good process plan will result exhibiting several characteristics: ;sJ2K"c
l practical solutions c *no H[
l because of rather small job lot sizes (\
%y)
l Backward reasoning can be used to answer the question "should ?Fw/c0
milling tool be select" different level of knowledge in the realm of MQu6Tm H
process planning