FUZZY MEASURE OF FUZZY EVENTS DEFINED BY FUZZY INTEGRALS

被引：64

作者：

GRABISCH, M ^{[1
]}

MUROFUSHI, T ^{[1
]}

SUGENO, M ^{[1
]}

机构：

[1] TOKYO INST TECHNOL,DEPT SYST SCI,MIDORI KU,YOKOHAMA,KANAGAWA 227,JAPAN

来源：

FUZZY SETS AND SYSTEMS | 1992年 / 50卷 / 03期

关键词：

FUZZY MEASURE; FUZZY INTEGRAL; FUZZY EVENT; DECOMPOSABLE MEASURE; BELIEF FUNCTION; DUALITY;

D O I：

10.1016/0165-0114(92)90227-U

中图分类号：

TP301 [理论、方法];

学科分类号：

081202 ;

摘要：

We define the concept of fuzzy measure of a fuzzy event by using a general form of fuzzy integral proposed by Murofushi, called fuzzy t-conorm integral, encompassing previous definitions. Zadeh defined the probability measure of a fuzzy event, and later the possibility measure of fuzzy event. Using a duality property of fuzzy t-conorm integral, we propose a general definition of fuzzy measure of fuzzy events, which is compatible with previous definitions of Zadeh, and possesses all properties of a fuzzy measure, in particular the duality property. Using our definition, we examine the case of decomposable measures and belief functions. A comparison with previous works is provided.

引用

页码：293 / 313

页数：21

共 27 条

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