COMBINATION OF FUZZY NUMBERS REPRESENTING EXPERT OPINIONS

被引：65

作者：

BARDOSSY, A

DUCKSTEIN, L

BOGARDI, I

机构：

[1] UNIV NEBRASKA,DEPT CIVIL ENGN,W348 NEBRASKA HALL,LINCOLN,NE 68588

[2] UNIV KARLSRUHE,INST HYDROL & WASSERWIRTSCHAFT,W-7500 KARLSRUHE 1,GERMANY

[3] UNIV ARIZONA,DEPT SYST & IND ENGN,TUCSON,AZ 85721

来源：

FUZZY SETS AND SYSTEMS | 1993年 / 57卷 / 02期

基金：

美国国家科学基金会;

关键词：

FUZZY NUMBERS; COMBINATION OF INFORMATION; EXTENSION; NITRATE CONCENTRATION;

D O I：

10.1016/0165-0114(93)90157-D

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Expert opinions or imprecise estimates of a physical variable are expressed as fuzzy numbers and five techniques for combining these numbers into a single fuzzy number estimate are developed. Seven characteristics of the combination technique are defined; namely, agreement preservation, order independence, transformation variance, possibility conservation, possibility interval conservation, relationship between uncertainty of individual estimates and overall uncertainty, and desirability of resultant estimate. The five techniques, listed in increasing order of preference, are (1) crisp weighting, (2) fuzzy weighting, (3) minimal fuzzy extension, (4) convex fuzzy extension and (5) mixed linear extension. An example of estimating nitrate concentration in ground water illustrates the approach. The cases of equally versus unequally reliable estimates are distinguished and guidelines for choice of combination technique are provided.

引用

页码：173 / 181

页数：9

共 14 条

[11] COMBINING EXPERT JUDGMENTS - BAYESIAN-APPROACH [J].

MORRIS, PA .

MANAGEMENT SCIENCE, 1977, 23 (07) :679-693

[12]

Shafer G., 1976, MATH THEORY EVIDENCE, DOI 10.1515/9780691214696

[13] OUTLINE OF A NEW APPROACH TO ANALYSIS OF COMPLEX SYSTEMS AND DECISION PROCESSES [J].

ZADEH, LA .

IEEE TRANSACTIONS ON SYSTEMS MAN AND CYBERNETICS, 1973, SMC3 (01) :28-44

[14] FUZZY SETS [J].

ZADEH, LA .

INFORMATION AND CONTROL, 1965, 8 (03) :338-&

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