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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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Journal ArticleDOI
Fuzzy logic systems for transportation engineering: the state of the art
TL;DR: Fuzzy logic is shown to be a very promising mathematical approach to modeling traffic and transportation processes characterized by subjectivity, ambiguity, uncertainty and imprecision.
Journal ArticleDOI
A New Approach to Interval-Valued Choquet Integrals and the Problem of Ordering in Interval-Valued Fuzzy Set Applications
TL;DR: It is shown that if the authors make use of intervals in multiexpert decision making problems, then the solution at which they arrive may depend on the total order between intervals that has been chosen, and two new algorithms are proposed such that the best alternative from a set of winning alternatives provided by the first algorithm is picked up.
Proceedings Article
Plausibility measures and default reasoning
Nir Friedman,Joseph Y. Halpern +1 more
TL;DR: A new approach to modeling uncertainty based on plausibility measures is introduced, so weak that it is almost always met whenever the axioms are sound, and it is easily seen to hold for all the proposals made in the literature.
Book ChapterDOI
CHAPTER 35 – Pseudo-Additive Measures and Their Applications
TL;DR: Pseudoanalysis uses many mathematical tools from different fields, such as functional equations, variational calculus, measure theory, functional analysis, optimization theory, and semiring theory.
Journal ArticleDOI
Quantitative weights and aggregation
TL;DR: Based on the strong idempotency of aggregation operators, quantitative weights are incorporated into the fusion process, and the general method is compared with some previous specific cases.