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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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Constructing importance measure of attributes in covering decision table
Fa-Chao Li,Zan Zhang,Chenxia Jin +2 more
TL;DR: In this article, a knowledge change-based importance measure, with the structural characteristics of fuzzy measure, is introduced to evaluate the importance of attributes in covering decision table, based on which coverings are induced to construct the lower and upper approximation operators in covering-based rough sets.
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A Study of Riesz Space-Valued Non-additive Measures
TL;DR: This paper gives a short survey of the recent developments in Riesz space-valued non-additive measure theory and contains the following topics: the Egoroff theorem, the Lebesgue theorem,the RiesZ theorem,The Lusin theorem, and the Alexandroff theorem.
A novel scoring method for stroke order based on choquet integral with fuzzy measure
TL;DR: The purpose of this research is to develop a novel algorithm based on Choquet integral with fuzzy measure for scoring stroke order of Chinese Character writing and experiment results show that the performance of scoring model based onChoquet integralwith fuzzy measures outperform the performances of traditional scoring methods.
Journal ArticleDOI
Constructing strict left (right)-disjunctive left (right) semi-uninorms and coimplications satisfying the order property
TL;DR: The relationships between the lower approximation strict left (right)-disjunctive left ( right) arbitrary ∧-distributiveleft (right) semi-uninorms and upper approximation right arbitrary ∨- Distributive coimplications which satisfy the order property are investigated.