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Fuzzy Measure Theory

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.

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Citations
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Journal ArticleDOI

Necessary and sufficient consensus conditions for the eventwise aggregation of lower probabilities

TL;DR: The paper gives sufficient and necessary conditions of consensus requirement for eventwise aggregation of various families of lower probabilities, and properties of the corresponding aggregation functions.
Journal ArticleDOI

A generalization of the Chebyshev type inequalities for Sugeno integrals

TL;DR: The main results of this paper generalize most of the inequalities for Sugeno integral obtained by many researchers to Chebyshev type inequalities with respect to non-additive measures.
Journal ArticleDOI

A Fuzzy Integral Based Query Dispatching Model in Collaborative Case-Based Reasoning

TL;DR: A fuzzy integral based approach to measure the competence of different CBR agents in the network is proposed and three query dispatching policies which could be used to fulfill this task are suggested: To-Top policy, Strong-Strong policy and Best-Committee policy.
Proceedings ArticleDOI

On the measure of incoherent information in extended multi-adjoint logic programs

TL;DR: This paper introduces several approaches to measure consistency (under the term coherence) into a multi-adjoint setting.
Journal ArticleDOI

A Feng Qi type inequality for Sugeno integral

TL;DR: In this article, a generalized Feng Qi type inequality for Sugeno integral is proved with several examples given to illustrate the validity of the proposed inequalities, which is based on the classical Feng Qi Type inequality for Lebesgue integral.