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Beginning p<nBS"/
1. In this paper, we focus on the need for LB ^^e"
2. This paper proceeds as follow. R*5;J`TW
3. The structure of the paper is as follows. 0FR%<u
4. In this paper, we shall first briefly introduce fuzzy sets and related ,,j=RG_
concepts <rI$"=7
5. To begin with we will provide a brief background on the ~ M>z
O#U6
Introduction *UxB`iA
1. This will be followed by a description of the fuzzy nature of the \ A UtGP
problem and a detailed presentation of how the required ifCGNvDR
membership functions are defined. (pK4i5lT
2. Details on xx and xx are discussed in later sections. s3RyLT
3. In the next section, after a statement of the basic problem, various %v)'`|i
situations involving possibility knowledge are investigated: first, an X@4d~6k?
entirely possibility model is proposed; then the cases of a fuzzy MifgRUe
service time with stochastic arrivals and non-fuzzy service rule is >2{HH\
studied; lastly, fuzzy service rule are considered.
bQQ/7KM
Review 5GxM?%\
1. This review is followed by an introduction. ]4~D;mv
2. A brief summary of some of the relevant concepts in xxx and xxx is _SW a3O#'
presented in Section 2. j1CD;9i)%
3. In the next section, a brief review of the .... is given. hLD;U
J?S
4. In the next section, a short review of ... is given with special regard d7zE8)D U7
to ... EUS]Se2
5. Section 2 reviews relevant research related to xx. s H[34gCh;
6. Section 1.1 briefly surveys the motivation for a methodology of ,#;ahwU~s
action, while 1.2 looks at the difficulties posed by the complexity of H)fo4N4ii
systems and outlines the need for development of possibility htSk2N/
methods. K'/x9.'%
Body \>dG'
1. Section 1 defines the notion of robustness, and argues for its Lcb59Cs6e
Q>*K/%KD
importance. LKY
Q?
2. Section 1 devoted to the basic aspects of the FLC decision-making phSP+/w
logic. 2g==98>cg
3. Section 2 gives the background of the problem which includes xxx G ~\$Oq8
4. Section 2 discusses some problems with and approaches to, 8rNxd=!
natural language understanding. Tj+WO6#V
5. Section 2 explains how flexibility which often ... can be expressed %LW~oI.
in terms of fuzzy time-window @h8~xs~DG
6. Section 3 discusses the aspects of fuzzy set theory that are used in U]3JCZ{]0E
the ... []^>QsS(X
7. Section 3 describes the system itself in a general way, including 3=I Q
the ….. and also discusses how to evaluate system performance. \
bE~iz3b9
8. Section 3 describes a new measure of xx. <[~M|OL9q,
9. Section 3 demonstrates the use of fuzzy possibility theory in the >s~`K^zS
analysis of xx. Bqj*{m
10. Section 3 is a fine description of fuzzy formulation of human vM8]fSc
decision. }]@
"t)"
11. Section 3 is developed to the modeling and processing of fuzzy "0mR*{nF
decision rules 8t; nU;E*
12. The main idea of the FLC is described in Section 3 while Section 4 Ce em
R>\t
describes the xx strategies. s5@^g8(+C
13. Section 3 and 4 show experimental studies for verifying the !;oBvE7Kh
proposed model. Yr@ @ty
14. Section 4 discusses a previous fuzzy set-based approach to cost 35et+9
variance investigation. <#i'3TUR
15. Section 4 gives a specific example of xxx. WX9BS$}0
16. Section 4 is the experimental study to make a fuzzy model of ='azVw%_
memory process. V#Eq74ic
17. Section 4 contains a discussion of the implication of the results of $:/1U$
Section 2 and 3. *2Kte'+q
18. Section 4 applies this fuzzy measure to the analysis of xx and Rlu;l
illustrate its use on experimental data. _1QNO#X
19. Section 5 presents the primary results of the paper: a fuzzy set C_o.d~xm
model .. {Gy_QRsp,
&kGSxYDk%
20. Section 5 contains some conclusions plus some ideas for further nLQJ~("
work. ?/D#ql7
21. Section 6 illustrates the model with an example. Fej$`2mRH
22. Various ways of justification and the reasons for their choice are 9i@*\Ada
discussed very briefly in Section 2. p w8'+FX
23. In Section 2 are presented the block diagram expression of a /on p<u
whole model ]T1"3
[si
of human DM system .x&>H
24. In Section 2 we shall list a collection of basic assumptions which Fc
Cxr@
a ... scheme must satisfy. i?]!8Ji
25. In Section 2 of this paper, we present representation and Aka`L:k
uniqueness theorems for the fundamental measurement of fuzziness #frhO;6
when the domain of discourse is order-dense. UA^E^$f:
26. In Section 3, we describe the preliminary results of an empirical
FM5$83Q
study se-}d.PwL
currently in progress to verify the measurement model and to }[|"db
construct membership functions. /W;;7k
27. In Section 5 is analyzed the inference process through the two
GY>0v
kinds of inference experiments... !eW<4jYB
This Section Y\lBPp0{\v
1. In this section, the characteristics and environment under which 6eb5 q/
MRP is designed are described. db`<E
<
2. We will provide in this section basic terminologies and notations 7Sokn?~i
which are necessary for the understanding of subsequent results. &]5<^?3
Next Section `g #\ Ws
2. The next section describes the mathematics that goes into the PUI.Un2C_
computer implementation of such fuzzy logic statements. {^~{X$YI
3. However, it is cumbersome for this purpose and in practical #ws6z`mt
applications the formulae were rearranged and simplified as s;A]GJ
discussed in the next section. =w8*n2
4. The three components will be described in the next two section, wH<S0vl
and an example of xx analysis of a computer information system will d;f,vN(
4>(?R[:p)
then illustrate their use. E-r/$&D5mP
5. We can interpret the results of Experiments I and II as in the Dq\#:NnKvx
following sections. 3p7*UVR"
6. The next section summarizes the method in a from that is useful H94$Xi"Bd
for arguments based on xx eudPp"Km
Summary y`'Ly@s
1. This paper concludes with a discussion of future research z\fk?Tj<ro
consideration in section 5. D0uf=BbS
2. Section 5 summarizes the results of this investigation. CnAh Ef)b
3. Section 5 gives the conclusions and future directions of research. y:1?~R
4. Section 7 provides a summary and a discussion of some extensions qWo|LpxWt
of the paper. `OduBUI]]
5. Finally, conclusions and future work are summarized ')_jK',1
6. The basic questions posed above are then discussed and JG4
Tb{F=
conclusions are drawn. wd u>3Ch"y
7. Section 7 is the conclusion of the paper. MECR0S9
Chapter 0. Abstract Dt8eVWkN ~
1. A basic problem in the design of xx is presented by the choice of a NAL%qQ
xx rate for the measurement of experimental variables. #E>f.:)
2. This paper examines a new measure of xx in xx based on fuzzy S7-?&[oeJ
mathematics which overcomes the difficulties found in other xx F/mD05{
measures. x'}{^'}/
3. This paper describes a system for the analysis of the xx. 5C/u`{4]Hg
4. The method involves the construction of xx from fuzzy relations. KPKby?qQ^
5. The procedure is useful in analyzing how groups reach a decision. K{HdqmxL.I
6. The technique used is to employ a newly developed and versatile `lr\V;o!
xx algorithm. }*
*^g:
7. The usefulness of xx is also considered. nLYyS#
8. A brief methodology used in xx is discussed. BC&Et62*
9. The analysis is useful in xx and xx problem. ~bvx<:8*%
10. A model is developed for a xx analysis using fuzzy matrices. ,v(G2`Z
11. Algorithms to combine these estimates and produce a xx are _Tev503
$yRbo'-
presented and justified.
RtK/bUa
12. The use of the method is discussed and an example is given. ))u$j4V
13. Results of an experimental applications of this xx analysis J>x)J}:;
procedure are given to illustrate the proposed technique. jt;68SA
P
14. This paper analyses problems in dA
)7d77
15. This paper outlines the functions carried out by ... 9NKZE?5P|D
16. This paper includes an illustration of the ... BYP,}yzA
17. This paper provides an overview and information useful for 4{*K%pv\
approaching rXvvJIbi
18. Emphasis is placed on the construction of a criterion function by 8ec~"vGLz~
which the xx in achieving a hierarchical system of objectives are vP?"MG
evaluated. v||8Q\d
19. The main emphasis is placed on the problem of xx C'kd>LAGu
20. Our proposed model is verified through experimental study. w~Es,@
21. The experimental results reveal interesting examples of fuzzy u]CW5snz
phases of: xx, xx ,c}Q;eYc3
22. The compatibility of a project in terms of cost, and xx are likewise j =[Td
represented by linguistic variables. 7RTp+FC]
23. A didactic example is included to illustrate the computational rQ.j$U
procedure ytr~} M%
Chapter 1. Introduction 866n{lyL
Time : E]A51
1. Over the course of the past 30 years, .. has emerged form intuitive '9H]SEw
2. Technological revolutions have recently hit the industrial world B4_0+K H
3. The advent of ... systems for has had a significant impact on the h,0mJj-ma
4. The development of ... is explored V 1;n5YL
5. During the past decade, the theory of fuzzy sets has developed in a g@KS\.m]
variety of directions :8jHN_u
6.The concept of xx was investigated quite intensively in recent years !SKEL6~7
7. There has been a turning point in ... methodology in accordance OV Iu&6#
with the advent of ... 5(tOQ%AQ
8. A major concern in ... today is to continue to improve...
&-s!ko4z
9. A xx is a latecomer in the part representation arena. Ga"$_DyM
mf^(Tq[
10. At the time of this writing, there is still no standard way of xx 3QZw
11. Although a lot of effort is being spent on improving these ~g
~z"!K
weaknesses, the efficient and effective method has yet to be {pm>F}Cwy
developed. \{P(s:
12. The pioneer work can be traced to xx [1965]. `4gm'C
13. To date, none of the methods developed is perfect and all are far =0MW+-
from ready to be used in commercial systems. {{SeD:hx
Objective / Goal / Purpose /t(dhz&xN
1. The purpose of the inference engine can be outlined as follows: #=q)>+\
2. The ultimate goal of the xx system is to allow the non-experts to b-;+&Rb
utilize the existing knowledge in the area of manual handling of loads, +}J2\!Jw
and to provide intelligent, computer-aided instruction for xxx. OtrO"K
3. The paper concerns the development of a xx 9Psy$
4. The scope of this research lies in PGOi#x
5. The main theme of the paper is the application of rule-based Lg
sQz(-
decision making. :W? 7J"
6. These objectives are to be met with such thoroughness and 7fgA)dU:K
confidence as to permit ... k]] (I<2
7. The objectives of the ... operations study are as follows: #y~^!fdp9
8. The primary purpose/consideration/objective of ^$4d'
9. The ultimate goal of this concept is to provide JD^(L~ n]
10. The main objective of such a ... system is to )K4 |-<i
11. The aim of this paper is to provide methods to construct such ?A3pXa
probability distribution. x%jJvwb^|
12. In order to achieve these objectives, an xx must meet the $,bLK|<hi
following requirements: 7^A;.x
13. In order to take advantage of their similarity :CNHN2 J
14. more research is still required before final goal of ... can be .>Gq/[c0|
completed |-bSoq7t
15. In this trial, the objective is to generate... #Wey)DI
16. for the sake of concentrating on ... research issues Ig-9Y;hdmn
17. A major goal of this report is to extend the utilization of a recently ;3
s_#L
developed procedure for the xx. =cs;avtL
Ix93/FAn
18. For an illustrative purpose, four well-known OR problems are ;
H9d.D8
studied in presence of fuzzy data: xx. @
kK${
19. A major thrust of the paper is to discuss approaches and U
N 1HBW;
strategies for structuring ..methods x00"d$!
20. This illustration points out the need to specify O['gp~P"
21. The ultimate goal is both descriptive and prescriptive. 0zCe|s.S&
22. Chapter 2. Literature Review g7res
23. A wealth of information is to be found in the statistics literature, rhO
]4A
for example, regarding xx 7^4F,JuJO
24. A considerable amount of research has been done .. during the J*Dj`@`4`g
last decade u>Z;/kr
25. A great number of studies report on the treatment of Z"<aS&GH
uncertainties associated with xx. W
'hE,
26. There is considerable amount of literature on planning e; 5n.+m
27. However, these studies do not provide much attention to DBYD>UA
uncertainty in xx. ]X?~Cz/wl
28. Since then, the subject has been extensively explored and it is 4#MvOjA5[
still under investigation as well in methodological aspects as in L
']EYK5
concrete applications.
uh*b[`e
29. Many research studies have been carried out on this topic. <"Z]S^>$
30. Problem of xx draws recently more and more attention of system p:U9#(v)
analysis. Z;M]^?
31. Attempts to resolve this dilemma have resulted in the FVNxjMm,
development of h~)oiT2v
32. Many complex processes unfortunately, do not yield to this Kf2Ob1
design procedure and have, therefore, not yet been automated. fEf",{I
33. Most of the methods developed so far are deterministic and /or p8o
~
probabilistic in nature. %B5.zs]Of
34. The central issue in all these studies is to %p6"Sg*
35. The problem of xx has been studied by other investigators, m:CiXM
however, these studies have been based upon classical statistical Sr Z\]
approaches. c-.t8X,5(~
36. Applied ... techniques to Vui5Z K
37. Characterized the ... system as FZ'|z8Dm
t"k6wv;Tq
38. Developed an algorithm to WW82=2rJ9
39. Developed a system called ... which Y+75}]B
40. Uses an iterative algorithm to deduce YzJ\< tkp
41. Emphasized the need to =$;i
42. Identifies six key issues surrounding high technology l&2A]5C
43. A comprehensive study of the... has been undertaken ImO\X`{
44. Much work has been reported recently in these filed ^vmT=f;TM
45. Proposed/Presented/State that/Described/Illustrated/ |Z'NMJU
Indicated/Has shown / showed/Address/Highlights ]o`qI#{R~R
46. Point out that the problem of @9~a3k|
47. A study on ...was done / developed by [] n*~=O '
48. Previous work, such as [] and [], deal only with qXPjxTg{[
49. The approach taken by [] is b)RU+9x &
50. The system developed by [] consists MUsF/1
51. A paper relevant to this research was published by [] }z:g}".4
52. []'s model requires consideration of... ]7" W(
53. []' model draws attention to evolution in human development S\=j; Uem
54. []'s model focuses on... ; mnV)8:F
55. Little research has been conducted in applying ... to COPH)Bdq.
56. The published information that is relevant to this research... o&}!bq]
57. This study further shows that U,
_nEx
58. Their work is based on the principle of d\&{Ev9v
59. More history of ... can be found in xx et al. [1979]. )jkX&7x
60. Studies have been completed to established Wm>[5h%>
61. The ...studies indicated that mOji\qia
62. Though application of xx in the filed of xx has proliferated in <y#-I%ed
recent years, effort in analyzing xx, especially xx, is lacking.
*ub]M3O
Problem / Issue / Question 6d/;GyG
63. Unfortunately, real-world engineering problems such as N>qOiw[
manufacturing planning do not fit well with this narrowly defined 'q%56WAJ
model. They tend to span broad activities and require consideration xL8r'gV@
of multiple aspects. Sc03vfmo"N
64. Remedy / solve / alleviate these problems V|GH4DT=
67. ... is a difficult problem, yet to be adequately resolved _~V7m
wG;#L7%
68. Two major problems have yet to be addressed `
K -j
69. An unanswered question Gx Z'" x
70. This problem in essence involves using x to obtain a solution. ~aKM+KmtPH
71. An additional research issue to be tackled is ....
4C@ .X[r
72. Some important issues in developing a ... system are discussed ~)>O=nR
73. The three prime issues can be summarized: _}MO.&Y
74. The situation leads to the problem of how to determine the ... 9G njJ
75. There have been many attempts to 1aEM&=h_W
76. It is expected to be serious barrier to 4n6EkTa
77. It offers a simple solution in a limited domain for a complex (-k`|X"
problem. tQ!p<Q=
$)
1. There are several ways to get around this problem. OZ{YQ}t{^1
2. As difficult as it seems to be, xx is by no means new. },r30` )Q
3. The problem is to recognize xx from a design representation. ,/{(8hn
4. A xx problem can trace its roots to xx. .Up\ 0|b
5. xx [1987] used a heuristic approach to simplify the complexity of ]O%wZIp\P
the problem. c6 O1Z\M@\
6. Several problems are associated with them. &f12Q&jY7
7. Although some progress has been made in this area, at least two P#e1?
major obstacles must be overcome before a fully automated system uZ[7[mK}n7
can be realized. iWCR5c=
8. Most problems in practice are complicated S
b0p?
9. More problem surface here. "ecG\}R=
10. Hamper effort toward a xx system bbGSh|u+P
11. In order to overcome the limitations due to incomplete and :{#%_^}k
imprecise xx knowledge, a xx program has been developed, which Xx.4K>j+j
bases its knowledge upon the statistical analysis of a sample ;ZnSWIF2
population of xx RM^3Snd=V
12. The above difficulties are real challenges faced by researchers vTrjhTa\
attempting to develop OnD!*jy
13. This type of mapping raises no controversy to the issue of h8R3N?S3#
membership function determination. q.
i2BoOd
14. However, attempts to quantify the xx have met both theoretical PKDzIA~T
and empirical problems. U)v['5%
j$2rU'
15. It has become apparent that in order to apply this new `2}Frw+?
methodological framework to real-world problems and data, we have kNC.^8ryz[
to pay attention to the problems of xx and xx. ,`4chD
Chapter 3. Proposed methodology +>zjTP7\e"
Assumption |I; tBqN{u
1. In the case when the assumption of a xx seems to be too j41)X'MgJ
restrictive or inadequate, the formulation with Fuzzy termination CV9o,rL
time, i.e. given by a fuzzy set in the space of control stages, may be 18(hrj
applied. [w0@7p"7
2. We assume here the fuzzy constraints to be state-dependent, and 8
$!&D&v
the fuzzy goal to be the same for all the control states, xx, which QNH-b9u>8
stems from the problem's nature. y.xt7
F1
3. An approach to the solution of this problem is presented under the :K:oH}4oh
assumption that the sampling rate Decision can be made prior to the x,U'!F
execution of the experiment, as opposed to being made while the 4trP*u,4
experiment is in progress. \a_75^2
4. Another assumption made above is that there are precise odds at <7U\@si4
which the expert is indifferent. b"Z$?5
5. Main simplifying assumptions are: :i{Svb*_'
6. This, in our view, is a questionable assumption. oFO)28
Btv
Outline / Structure / Module OouIV3
1. An outline of the research
"aU)
[
2. Information is incorporated within the scheme )bd)noZi
3. Is built into ... structure \
F\ /<
4. A nice modular structure. \?$`dA [
5. The principles of ... are applied as modularized criteria O/(QLgUr
Classification Li'>pQ+
1. A xx system comprises three main components: %>z4hH,
2. Must decompose the original .. into a set of .. [NxC7p:Lo
3. Consists of the following steps: Oc6_x46S4
4. This is summarized in the following steps: f3>L/9[[<P
9}[UZN6
5. Can be broadly classified into the following areas: z[cs/x
6. Can be characterized by its function of effectively processing the >U~{WM$"Y
7. Can allow further breadth of application of ...into more gNWTzz<[f>
8. The following steps should be followed 8gHOs#\
9. xx can be classified by a different ways. Nf]h8d~
10. Based on the xx, one may classify xx into the following: &'V1p4'
11. This catalog may change due to wear, breakage, and purchasing. #VvU8"u
System &Hi;>
1. Unlike many conventional program, expert systems do not -MK9IO]i
usually deal with problem for which there is clearly a right or wrong ? PI2X.6
answer. ~pC\"LU`
2. The system consists of both ... and ... b2tUJ2p
3. The system has a hierarchical modular architecture organized on yrF"`/zv6|
three levels. ^H(,^cVN
4. expert system domains are area of expertise NQmdEsK
5. To develop a xx system for xx, the following factors must be sQXj?5!
considered: W]CsKN,K
6. The system has been developed / designed to determine ng{"W|
7. The system has proven to be able to \-W|)H
8. The domain in which an expert system operates is a particular _C%:AFPP>
domain @2;/-,4O
9. The system comprises a ... with bzWWW^kNL
10. The system is [feature-oriented ] / based on the ... technique L)z
`
11. The system environment must be relatively stable PC<[$~
12. The system is utilized to generate, load, store, update and 6Bf aB:
retrieve ... 2X,`t%o
13. The development of a xx system has two stages: xx stage and xx M(Tlkr
stage. Fd;%wWY.zm
14. The most essential part of .. system is the ... U~GQ JR
15. The successful developments in ESs have made them an SMn(c
important tool in the development of O63:t$Yx#
16. An automated system was developed for !zQbF&>
17. In this case, the system can be considered to be generative. P^57a?[`
f
0r?cZ
18. An interactive automatic ... system _Q9I
W
19. A …. is commonly thought of as a truly integrated .. system !T"jvDYH
20. Should be capable of being generated from a ... system xl ]1TB@
21. xx is an important part of the integrated system. &e\UlM22
22. The model consists of four rule bases, each of which addresses a [T(`+
#f
separate problem in the hierarchy of scheduling decision. f;=<$Y>i
23. The rule bases are linked to each other in a chin-like manner in WNSY@q
the sense that the consequent of one rule base constitutes a part of s3[\&zt
the antecedent of the next rule base. tUk)S
24. The rule base consists of all possible combinations of the m0p%R>:5
linguistic terms associated with the linguistic variable of the dCA!
R"HD
antecedent of a rule. vMzBp#MT
Computer System b ;>?m
1. The system has been implemented using Prolog language in an dK41NLGQ
MS-DOS environment. Prolog was chosen because it offers a well k`BS{,=
known and flexible environment in which fuzzy reasoning may be %J8uVD.2
easily implemented. k_`h (R
2. The current version of the xx program when compiled with )lU9\"?o
WATFOR77 results in an executable code of about 270K bytes. @
a i2A|
Typical run time, when run on a XX computer (an IBM compatible NwN3T]W
machine) operating at 4.77 Mhz with 640K RAM, ranges from 10 min 3qkPe_<I
to 2h, depending on the size (or complexity) of the problem. U%n>(!d
3. Time consuming procedures have been implemented in P~;1adi3
C-language and directly linked to the Prolog environment. 7/K L<T9@
4. The xx process, once the xx's data has been entered, requires ,AH2/^:%c
approximately 180 seconds. On0,#i=
5. It should be noted that the computation was done with a 20 Hhz, u6 Yp,!+
80386..209;based microcomputer equipped with a 80387 math 3e9UD N2
co-processor. M'VJE|+t
6. The computer programs used for the analyses, one based on the xx B'I_i$g4w
method and the other based on the new method, were written in C]&/k_k
FORTRAN with a compiler that supports the math co-processor. HWFLu
7. Lisp, Prolog give maximum flexibility but also maximizes 2({|
LQqk
[#(',~lN7
development time. `Hqgahb{P
l Internal representation is the way a model is represented in the [6Q1yNE
computer. mqbCa6>_S
l An interactive menu-driven procedure is used in this study = |E8z
u%
l Shell can be develop very fast at the cost of time fairly severe juI)Do2_
limitations. N' CWSf.e
l While there is no measurable saving of time for the case involving j`#H%2W\;
five criteria, the saving is dramatic for the case involving 10 criteria 'e_e*.z3
-- the computation time reduces from 10 hr 40 min to about 1 min. P`avn
l This combination is being implemented in an objected-oriented 5"ooam3
programming environment (Smalltalk-80 system) to solve problems L)qUBp@MW
encountered in construction xxx.
+BDW1%
Method / Approach / Study / Process Model / Equation /Algorithm / I+(
b!(H
Rule / Formula / Technique
$y{.fj y3
l A discussion is presented of a problem-solving system u@tH6k*cBz
l To improve the efficiency of the method, the following approach jrpki<D
may be applied. UXh%DOq
l In order to an investigation was made to find the causes of the iRx `Nx<@
l Although large collections of rules and equations have been hl0\$
complied, none are generally accepted 6uTC2ka[&R
l This approach will be explained and discussed thoroughly in the Lq2jXy5#n
body of the report. o'Fyo4Qd
l This can be accomplished by l%xTF@4e
l This algorithm to compute the total cost can be described step by * U}-Y*
step as follows: g
W_E
l The above preliminary analysis has provided important 5$Kd<ky
information EdTL]Xk
l Various methods have been proposed for selecting an optimum... |~#A?mK-
l These concepts have been applied to vvs2:87zvJ
l On the basis of the concept mentioned above, ~2nt33"
l This can be achieved by zg'.f UZ
l This fact suggests that a new concept HAo=t
l This was accomplished by taking ... lr[T+nQ
}%AfZ2g;h
l The preparatory stage is very time consuming process. sSc~q+xz
l Test are performed for validity, completeness, and compatibility 2h#.:!/SMw
l There is little hope of achieving successful ... ~]].i~EV(
l There has been an increasing awareness of the potential of using ,CN(;z)
most ..so far made have not taken this approach, with the exception R]o0V*n
of D?UURUR f
l Only a few studies can be found. x^ `IZ{!
l It is a very tedious process to go through CU*TY1%
l It is only when .. has been completed that .. may be effected .z=%3p8+
l The entire interpretation process is conducted in one's head. gs7_Q
l These approaches are sometimes very tedious. N8k=c3|
l Several techniques can be used hW9!
l A polynomial parametric model can be written as [the / 9,'.
following]/[follows]: K:kb&W
l A xx model is constructed/formulated using xx. SAj#+_db
l A xx model represents an xx by its xx. B2* 7H
l A process decision model captures the logic essential to mlLqQ<
l From the equation above, xx is equal to the summation of xx [b&