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Fuzzy Measure Theory
Zhenyuan Wang,George J. Klir +1 more
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Introduction.Abstract:
Introduction. Required Background in Set Theory. Fuzzy Measures. Extensions. Structural Characteristics for Set Functions. Measurable Functions on Fuzzy Measure Spaces. Fuzzy Integrals. PanIntegrals. Applications. Index.read more
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Journal ArticleDOI
Immunization strategy in a fuzzy environment
TL;DR: Within the framework of ALM, it is understood that immunization is the main method to assure a certain yield in a future date departing from an initial portfolio, and one of the goals is the determination of the duration of a Bond and of a bond portfolio, when the interest rate is a fuzzy number.
Journal ArticleDOI
Convex Aggregation Operators and Their Applications to Multi-Hesitant Fuzzy Multi-Criteria Decision-Making
Ye Mei,Juanjuan Peng,Junjie Yang +2 more
TL;DR: Based on the proposed aggregation operators, a novel approach for multi-criteria decision-making (MCDM) problem is proposed for ranking alternatives and an example is provided to verify the developed approach and demonstrate its validity and feasibility.
Journal ArticleDOI
Canonical fuzzy measure on (0,1]
TL;DR: The characterization of the canonical fuzzy measure is given by the invariance properties against translations by assuming that g is a distortion of the Lebesgue measure.
Journal ArticleDOI
On the fundamental convergence in the (C) mean in problems of information fusion
TL;DR: A new concept of a fundamental convergence in the (C) mean of sequences of measurable functions and the Choquet integral is defined and an application of this concept is discussed in the context of information fusion.
Proceedings ArticleDOI
Why Sugeno λ-measures
TL;DR: It is shown that among all fuzzy measures which are equivalent to probability measures, Sugeno measures (and a slightly more general family of measures) are the only ones with this efficiency property.