Membership functions and operational law of uncertain sets

被引：36
|
作者：
Liu, Baoding [1 ]
机构：
[1] Tsinghua Univ, Dept Math Sci, Uncertainty Theory Lab, Beijing 100084, Peoples R China
来源：
FUZZY OPTIMIZATION AND DECISION MAKING | 2012年 / 11卷 / 04期
基金：
中国国家自然科学基金;
关键词：
Uncertainty theory; Uncertain set; Uncertain measure; Membership function;
D O I：
10.1007/s10700-012-9128-7
中图分类号：
TP18 [人工智能理论];
学科分类号：
081104 ; 0812 ; 0835 ; 1405 ;
摘要：
Uncertain set is a set-valued function on an uncertainty space, and attempts to model "unsharp concepts" that are essentially sets but their boundaries are not sharply described. This paper will propose a concept of membership function and define the independence of uncertain sets. This paper will also present an operational law of uncertain sets via membership functions or inverse membership functions. Finally, the linearity of expected value operator is verified.
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页码：387 / 410
页数：24
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