FUZZY SUBSETS OF THE SPACE OF PROBABILITY-MEASURES AND EXPECTED VALUE OF FUZZY VARIABLE

被引：11

作者：

HEILPERN, S

机构：

[1] Academy of Economics, Institute of Economic Cybernetics, Wroclaw

来源：

FUZZY SETS AND SYSTEMS | 1993年 / 54卷 / 03期

关键词：

EXTENSION PRINCIPLE; CONVEX FUZZY SET; COMPACT FUZZY SET; FUZZY NUMBER; SPACE OF PROBABILITY MEASURES; FUZZY EVIDENCE; EXPECTED VALUE; FUZZY PROBABILITY;

D O I：

10.1016/0165-0114(93)90376-S

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We study the fuzzy subsets of the space of all probability measures and their applications to problems connected with fuzzy evidences. First we investigate the properties of the fuzzy set of all probability measures for which the probability of fuzzy event A is equal to fuzzy probability Q. Next, using these investigations, we calculate the expected value of the variable generated by the fuzzy evidence: Pr(V is A) is Q. In this paper we assume that A is a fuzzy number on the real line R.

引用

页码：301 / 309

页数：9

共 9 条

[1] DERIVING EXPECTED VALUES FROM PROBABILITIES OF FUZZY SUBSETS [J].