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- W9022034 abstract "We consider two usual aspects associated to a fuzzy subset of a finite set. First, the “nonprobabilistic entropy” defined by De Luca and Termini. Second, the representation of the fuzzy set as a consonant evidence or, equivalently, as a possibility or a necessity (i. e., as a special kind of basic probability assignment or its equivalent associated fuzzy measures). Maintaining the definition of De Luca and Termini, an alternative (probabilistic) view is proposed such that it becomes a “probabilistic entropy”: the entropy of an alternative random set associated to the fuzzy set. This is a dissonant evidence, whose belief and plausibility are also characterized as special cases of fuzzy measures." @default.
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- W9022034 date "2012-01-01" @default.
- W9022034 modified "2023-10-18" @default.
- W9022034 title "A Probabilistic View of De Luca and Termini’s Entropy" @default.
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- W9022034 doi "https://doi.org/10.1007/978-3-642-31715-6_2" @default.
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