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 Universal Integral as Common Frame for Choquet
TL;DR: For functions with values in the nonnegative real numbers, universal integrals are introduced and investigated in this article, which can be defined on arbi- trary measurable spaces and for arbitrary monotone measures.
Journal IssueDOI
A measure theoretic approach to information retrieval
Sándor Dominich,Tamás Kiezer +1 more
TL;DR: It is shown that the classical and the generalized vector space models, as well as the latent semantic indexing model, gain a correct formal background with which they are consistent and Information Retrieval may thus be conceived as an application of mathematical measure theory.
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General Fritz Carlson's Type Inequality for Sugeno Integrals
Xiaojing Wang,Chuanzhi Bai +1 more
TL;DR: Fritz Carlson's type inequality for fuzzy integrals is studied in a rather general form in this article, and the main results of this paper generalize some previous results of the type inequality.
Journal ArticleDOI
Invariant continuous aggregation functions
Andrey G. Bronevich,Radko Mesiar +1 more
TL;DR: Continuous aggregation functions, being invariant under any monotone bijective transformation, are discussed and characterised and the relevant role of simple medians in describingmonotone threshold Boolean functions is made apparent.
Preference Mining Techniques for Customer Behavior Analysis
TL;DR: In this paper, the authors studied a number of critical problems in data mining for customer behavior analysis and proposed novel techniques for better modeling of the customers' decision-making process, more efficient analysis of their travel behavior, and more emergent identification of their emerging preference.