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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Journal ArticleDOI
Quo vadis aggregation
TL;DR: The overview is concluded by discussing the future developments of aggregation theory, in particular with respect to aggregation on special and general lattices, as well as to aggregation of big data.
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Fuzzified Choquet Integral With a Fuzzy-Valued Integrand and Its Application on Temperature Prediction
TL;DR: A daily temperature predictor based on the CIII regression model has a self-learning ability through a double genetic algorithm and is implemented to validate the performance of the predictor by real weather records from the Hong Kong observatory.
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On Using the Shapley Value to Approximate the Choquet Integral in Cases of Uncertain Arguments
TL;DR: This work suggests an approximation to the Choquet integral criteria aggregation that does not require an ordering, and provides an assessment of the merit of the approximation using the cardinality indices of the importance measure.
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Extreme points of some families of non-additive measures
TL;DR: This paper studies the set of vertices of some families of non-additive measures, namely k- additive measures and p-symmetric measures, whose cross-over operator is the convex combination, and solves the problem through techniques of Linear Programming.
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Fuzzy measures and asset prices: accounting for information ambiguity
TL;DR: In this paper, a parametric representation of uncertainty aversion is proposed by means of a special class of fuzzy measures, known as g λ-measures, and the parameter λ may be considered an indicator of uncertainty.