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Fuzzy Sets and Systems, 2008
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Inclusion measures, similarity measures, and the fuzziness of fuzzy sets and their relations
International Journal of Intelligent Systems, 2006Summary: The inclusion measure, the similarity measure, and the fuzziness of fuzzy sets are three important measures in fuzzy set theory. In this article, we investigate the relations among inclusion measures, similarity measures, and the fuzziness of fuzzy sets, prove eight theorems that inclusion measures, similarity measures, and the fuzziness of ...
Wenyi Zeng, Hongxing Li 0004
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Measuring the Fuzziness of Sets
Journal of Cybernetics, 1974Set theory begins to be useful when there is some natural criterion for defining belonging to a set. Sets of objects without properties are uninteresting. Elements are assigned to sets because they share properties or conform to a rule. A set of elements is said to be fuzzy when we allow some elements to belong to the set unequally or more strongly ...
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Fuzzy Sets and Systems, 1999
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Congxin Wu +3 more
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Congxin Wu +3 more
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Fuzzy Sets and Systems, 1998
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On the entropy of fuzzy measures
IEEE Transactions on Fuzzy Systems, 2000Fuzzy measures provides a structure for modeling the knowledge available about variables whose values are unknown and uncertain. A large class of different types of uncertainty can be represented in this framework. In this work, we provide a measure of entropy that can be used to calculate the amount of uncertainty associated with a fuzzy measure.
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Fuzzy measures and coherent join measures
International Journal of Intelligent Systems, 2011In assigning weights and scores in a decision problem usually we assume that they are finitely additive normalized measures, i.e., from the formal point of view, finitely additive probabilities. The normalization requirement sometimes appears as an actual restriction.
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On Fuzzy Confirmation Measures of Fuzzy Association Rules
2020Many researchers from different sciences focused their attention on quantifying the degree to which an antecedent in a rule supports a conclusion. This long-standing problem results to be particularly interesting in the case of fuzzy association rules between a fuzzy antecedent and a fuzzy consequence: in fact, rules become much more flexible in ...
Celotto Emilio +2 more
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Fuzzy measurement of income inequality: a class of fuzzy inequality measures
Social Choice and Welfare, 1995zbMATH Open Web Interface contents unavailable due to conflicting licenses.
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An Extensional Signed Fuzzy Measure of Signed Rho-Fuzzy Measure
2010If some values of fuzzy density function are negative, none of non-negative fuzzy measure can be used, the signed fuzzy measures with real valued fuzzy density function are needed, a univalent signed fuzzy measure satisfying Liu's revised monotonicity, called signed Rho-measure, was proposed by author's previous work. In this paper, for any real valued
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