Open AccessBook
Fuzzy Measure Theory
Zhenyuan Wang,George J. Klir +1 more
TLDR
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
Citations
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Journal ArticleDOI
Null-additive fuzzy measures on s-compact spaces*
TL;DR: The relations among the null-additivity, pseudometric generating property and autocontinuity are depicted by using exhaustivity of fuzzy measures to study structural characteristics of fuzzy Measures on S-compact spaces.
Journal ArticleDOI
Genuine sets, various kinds of fuzzy sets and fuzzy rough sets
TL;DR: The genuine set theoretic descriptions of type-m fuzzy sets, intuitionistic fuzzy sets and fuzzy rough sets point out new features of these set notations, originated from the peculiar characteristics of genuine sets.
Proceedings ArticleDOI
A fuzzy rate-of-return based model for portfolio selection and risk estimation
TL;DR: An approach is presented that incorporates fuzzy set and possibility theories, uncertainty management, and respective mathematical model development that has been useful in the management of assets against certain given liability and risk estimation of different portfolio structures.
Journal Article
Diminishing Choquet Hesitant 2-Tuple Linguistic Aggregation Operator for Multiple Attributes Group Decision Making
TL;DR: A diminishing hesitant 2-tuple averaging operator (DH2TA) for hesitant 2"-tuple linguistic arguments" and a multiple attribute decision making method based on DCH2TA operator is proposed.
Journal ArticleDOI
Biological taxonomic problem solving using fuzzy decision-making analytical tools
TL;DR: Fuzzy measures and classification integration was used to analyze shape groups of the diatom Asterionella using fuzzy Fourier shape coefficients and fuzzy morphometric measures, providing a simple way to aggregate scant available data and a linguistic solution in a taxonomic study understandable to a biologist.