A MEASURE-THEORETIC AXIOMATIZATION OF FUZZY-SETS

被引：12

作者：

BOLLMANNSDORRA, P

WONG, SKM

YAO, YY

机构：

[1] UNIV REGINA, DEPT COMP SCI, REGINA S4S 0A2, SK, CANADA

[2] TECH UNIV BERLIN, BERLIN, GERMANY

[3] LAKEHEAD UNIV, DEPT MATH SCI, THUNDER BAY P7B 5E1, ON, CANADA

来源：

FUZZY SETS AND SYSTEMS | 1993年 / 60卷 / 03期

关键词：

AXIOMATIZATION OF FUZZY SETS; FUZZY COMPONENT STRUCTURE; FUZZY MEMBERSHIP STRUCTURE; FUZZY SETS; FUZZY SYSTEM STRUCTURE; MEASUREMENT THEORY;

D O I：

10.1016/0165-0114(93)90440-S

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

Using measurement theory, this paper examines three empirical structures that underlie the representation of fuzzy sets: the fuzzy membership structure, the fuzzy component structure, and the fuzzy system structure. These qualitative structures justify the use of the standard min-max system to represent fuzzy sets. The results of this study facilitate the development of a sound measurement-theoretic axiomatization of fuzzy systems.

引用

页码：295 / 307

页数：13

共 41 条

[1]

[Anonymous], 1970, UTILITY THEORY DECIS

[2]

[Anonymous], 1975, FUZZY SETS THEIR APP

[3] ANALYTIC FORMALISM OF THEORY OF FUZZY SETS [J].

BELLMAN, R ;

GIERTZ, M .

INFORMATION SCIENCES, 1973, 5 :149-156

[4]

Bellman R. E., 1971, Decision-making in a fuzzy environment, DOI 10.1287/mnsc.17.4.B141

[5]

Chang CC., 1958, T AM MATH SOC, V88, P467, DOI [10.1090/S0002-9947-1958-0094302-9, DOI 10.1090/S0002-9947-1958-0094302-9]

[6]

Dubois, 1980, FUZZY SETS FUZZY SYS

[7] A CLASS OF FUZZY MEASURES BASED ON TRIANGULAR NORMS - A GENERAL FRAMEWORK FOR THE COMBINATION OF UNCERTAIN-INFORMATION [J].

DUBOIS, D ;

PRADE, H .

INTERNATIONAL JOURNAL OF GENERAL SYSTEMS, 1982, 8 (01) :43-61

[8]

Dubois D., 1980, Fuzzy Sets. Theory and Applications to Policy Analysis and Information Systems. Proceedings of the Symposium on Policy Analysis and Information Systems, P59

[9] FUZZY-SETS, PROBABILITY AND MEASUREMENT [J].

DUBOIS, D ;

PRADE, H .

EUROPEAN JOURNAL OF OPERATIONAL RESEARCH, 1989, 40 (02) :135-154

[10]

DUBOIS D, 1986, COMPUT ARTIF INTELL, V5, P403

← 1 2 3 4 5 →