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Fuzzy measures defined by addition of fuzzy measures
2016 12th International Conference on Natural Computation, Fuzzy Systems and Knowledge Discovery (ICNC-FSKD), 2016Given a measurable space (X, A) and two fuzzy measures μ 1 and μ2 defined on A, the addition of μ 1 and μ2 determines another set function on A. Such a new set function is a fuzzy measure, too. We shall discuss the relation between the new fuzzy measure and the original fuzzy measures. We shall see that the new fuzzy measure preserves some structural
Xiaoli Hu +3 more
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Learning fuzzy measures from data: Simplifications and optimisation strategies
Information Sciences, 2019Fuzzy measures model interactions between the inputs in aggregation problems. Their complexity grows exponentially with the dimensionality of the problem, and elicitation of fuzzy measure coefficients either from domain experts or from empirical data is ...
Gleb Beliakov, Jian-Zhang Wu
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On Viewing Fuzzy Measures as Fuzzy Subsets
IEEE Transactions on Fuzzy Systems, 2016We introduce the concept of a fuzzy measure, discuss some of their basic properties and look at some notable examples. We introduce a correspondence between a fuzzy measure on X and a fuzzy subset over the power set of X. These fuzzy subsets are required to have special properties on the space 2X and we refer to these as measure type fuzzy sets.
R. Yager
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Fuzzy Sets and Systems, 1994 zbMATH Open Web Interface contents unavailable due to conflicting licenses.
CUTELLO, Vincenzo, MONTERO J.
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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.
Ronald R Yager
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Learning k-maxitive fuzzy measures from data by mixed integer programming
Fuzzy Sets Syst., 2021Fuzzy measures model interactions between the inputs in aggregation problems. Their complexity grows exponentially with the dimensionality of the problem, and elicitation of fuzzy measure coefficients either from domain experts or from empirical data ...
G. Beliakov, Jianzhang Wu
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Fuzzy Measures and Choquet Integrals Based on Fuzzy Covering Rough Sets
IEEE transactions on fuzzy systems, 2021Fuzzy sets and fuzzy rough sets are widely applied in data analysis, data mining, and decision-making. So far, the common method is to use rough approximate operators to induce aggregation functions when fuzzy rough sets are used for multicriteria ...
Xiao-hong Zhang +3 more
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