Semi-lattice structure of all extensions of the possibility measure and the consonant belief function on the fuzzy set (Q1180257)
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scientific article; zbMATH DE number 27451
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Semi-lattice structure of all extensions of the possibility measure and the consonant belief function on the fuzzy set |
scientific article; zbMATH DE number 27451 |
Statements
Semi-lattice structure of all extensions of the possibility measure and the consonant belief function on the fuzzy set (English)
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27 June 1992
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The author introduces the concepts possibility measure and consonant belief function on the class of all fuzzy subsets of \(X\), \(P\)-consistency and \(B\)-consistency of a fuzzy set function, and gives two extension theorems of the possibility measure and consonant belief function. The author also discusses the semi-lattice structures of all extensions of the possibility measure and the consonant belief function. This paper is the extension of the paper [\textit{Z. Wang}, BUSEFAL 24, 18-22 (1985; Zbl 0578.94036)].
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possibility measure
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consonant belief function
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fuzzy subsets
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\(P\)- consistency and \(B\)-consistency of a fuzzy set function
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semi-lattice structures
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