What does a probabilistic interpretation of fuzzy sets mean?

被引：25

作者：

Liang, P ^{[1
]}

Song, FM ^{[1
]}

机构：

[1] TSING HUA UNIV,SCH ECON & MANAGEMENT,BEIJING 100084,PEOPLES R CHINA

来源：

IEEE TRANSACTIONS ON FUZZY SYSTEMS | 1996年 / 4卷 / 02期

关键词：

D O I：

10.1109/91.493913

中图分类号：

TP18 [人工智能理论];

学科分类号：

081104 ; 0812 ; 0835 ; 1405 ;

摘要：

In this paper, we propose a statistics model to better understand the probabilistic interpretation for fuzzy sets. The model shows the relationship between the two kinds of statistics: the set-valued statistics for fuzzy sets and the conventional probability statistics for membership functions. Our model overcomes the shortcomings in previous approaches. The results of this paper provide a theoretical interpretation to Zadeh's insight that possibility relates to soft constraints restricting the values of language variables.

引用

页码：200 / 205

页数：6

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