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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A fuzzy risk model and its matrix algorithm
Chongfu Huang,Claudio Moraga +1 more
TL;DR: The interior-outer-set model for calculating a fuzzy risk represented by a possibility-probability distribution is introduced and it is easy to make a computer program for realizing.
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Interval-valued probability in the analysis of problems containing a mixture of possibilistic, probabilistic, and interval uncertainty
TL;DR: In this paper, IVPMs are constructed and then used to develop the extension of these measures in such a way that probability, possibility, clouds, and intervals fit within the context of IVP.
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General Chebyshev type inequalities for universal integral
TL;DR: The main results of this paper generalize some previous results obtained for special fuzzy integrals, e.g., Choquet and Sugeno integrals by obtaining related inequalities for seminormed integral.
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Fuzzy Measures Defined by Fuzzy Integral and their Absolute Continuity
TL;DR: This paper generalizes in several different ways the concept of absolute continuity of set functions, as defined in classical measure theory, and investigates the relationship among these generalizations by using the structural characteristics of set function functions such as null-additivity and autocontinuity.
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Incorporating a non-additive decision making method into multi-layer neural networks and its application to financial distress analysis
TL;DR: A novel multi-layer perceptron is presented using a non-additive decision making method and applies to the financial distress analysis, which is an important classification problem for a business.