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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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Book ChapterDOI
Facets of Generalized Uncertainty-based Information
TL;DR: Review of current research on broad concepts of uncertainty and information that is based on uncertainty reduction within a broad framework consisting of fuzzy set theory and fuzzy measure theory to capture virtually all conceivable types of uncertainty via appropriate uncertainty theories.
Proceedings ArticleDOI
Maximum A Posteriori EM MCE Logistic LASSO for learning fuzzy measures
TL;DR: A novel algorithm is introduced for learning fuzzy measures for Choquet integral-based information fusion that goes beyond previously published MCE-based approaches and has the advantage that it is applicable to general measures, as opposed to only the Sugeno class of measures.
Journal ArticleDOI
Minkowski type inequality for fuzzy and pseudo-integrals
TL;DR: In this paper, a Minkowski type inequality for fuzzy and pseudo-integrals is studied and established results are based on the classical Minkowsky's inequality for integrals.
Journal ArticleDOI
Ostrowski-Sugeno fuzzy inequalities
TL;DR: Ostrowski-Sugeno fuzzy type inequalities in the context of Sugeno fuzzy integral are presented and tight upper bounds to the deviation of a function from its Sugeno-fuzzy averages are given.
Proceedings ArticleDOI
Managing the Uncertainty of Data Fusion from Different Sources in Modelling Route Choice Behaviour
TL;DR: A method for fusing data relevant both to drivers' experience and provided information about travel time is presented, which takes into account the "compatibility" of data originating from different sources and provides information about acceptability of results.