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
A human-assisted knowledge extraction method for machining operations
TL;DR: The presented method provides some valuable hints to the developers of futuristic computer integrated manufacturing systems by utilizing both probabilistic reasoning and fuzzy logical reasoning to benefit from the machining data and from the judgment and preference of a machinist.
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The fuzzy TOPSIS and generalized Choquet fuzzy integral algorithm for nuclear power plant site selection – a case study from Turkey
TL;DR: F fuzzy TOPSIS and generalized Choquet fuzzy integral algorithm for evaluation and selection of optimal locations for NPP in Turkey are proposed and Inceburun–Sinop was selected as a study site due to its highest performance and meeting most of the investigated criteria.
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Aggregation-based extensions of fuzzy measures
TL;DR: The method generalizes the well-known Lovasz and Owen extensions of nondecreasing pseudo-Boolean functions linked to fuzzy measures by means of a suitable n-ary aggregation function and the Mobius transform of the considered fuzzy measure.
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Conditional plausibility measures and Bayesian networks
TL;DR: A general notion of algebraic conditional plausibility measures is defined in this article, which can be represented using Bayesian networks, and can be expressed as probability measures, ranking functions, possibility measures, and sets of probability measures.
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Regularity and Lusin's theorem for Riesz space-valued fuzzy measures
TL;DR: A smoothness condition (the multiple Egoroff property) is introduced and imposed on a Riesz space to show that every weakly null-additive, RiesZ space-valued fuzzy Borel measure on any metric space is regular.