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Fuzzy confirmation measures

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, 2006
Summary: 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, 1974
Set 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 number fuzzy measures and fuzzy integrals. (II). Fuzzy integrals of fuzzy-valued functions with respect to fuzzy number fuzzy measures on fuzzy sets

Fuzzy Sets and Systems, 1999
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Congxin Wu   +3 more
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Fuzzy logic in measurements

Fuzzy Sets and Systems, 1998
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On the entropy of fuzzy measures

IEEE Transactions on Fuzzy Systems, 2000
Fuzzy 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, 2011
In 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

2020
Many 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, 1995
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An Extensional Signed Fuzzy Measure of Signed Rho-Fuzzy Measure

2010
If 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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