COMPARISON OF EMPIRICAL AND COMPUTED VALUES OF FUZZY CONJUNCTION

被引：13

作者：

KOVALERCHUK, B

TALIANSKY, V

机构：

[1] Uzinform, Tashkent, 700043

来源：

FUZZY SETS AND SYSTEMS | 1992年 / 46卷 / 01期

关键词：

MEMBERSHIP FUNCTION; OPERATORS; EMPIRICAL RESEARCH; DECISION MAKING; INTERSECTION; CONJUNCTION;

D O I：

10.1016/0165-0114(92)90265-6

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

The necessity for further experiments such as in [4] for the foundation of fuzzy sets theory is shown. Generality of the experimental results on fuzzy conjunction in the paper by Thole, Zimmermann and Zisno (1979) [4] for the other objects and language is verified for other conditions. Usually the minimum, the product and the restricted sum operators are used as an intersection (conjunction) of fuzzy sets in fuzzy optimization (F-optimization). On the basis of experiments, it is shown that these operators are correct for F-optimization. Their correctness is founded on the stability of the extremal point (a decision in Bellman-Zadeh's scheme) under a positive linear mapping. It is shown that these mappings exist between empirical conjunction and considered operators as a statistical result of linear regression analysis.

引用

页码：49 / 53

页数：5

共 5 条

[1]

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

[2]

FRENCH S, 1984, FUZZY SETS DECISION, P29

[3] ARE GRADES OF MEMBERSHIP PROBABILITIES [J].