期刊
FUZZY OPTIMIZATION AND DECISION MAKING
卷 11, 期 4, 页码 387-410出版社
SPRINGER
DOI: 10.1007/s10700-012-9128-7
关键词
Uncertainty theory; Uncertain set; Uncertain measure; Membership function
资金
- National Natural Science Foundation of China [60874067, 91024032]
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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