Open AccessBook
Fuzzy Measure Theory
Zhenyuan Wang,George J. Klir +1 more
Reads0
Chats0
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
More filters
Journal Article
Further development of Chebyshev type inequalities for Sugeno integrals and T-(S-)evaluators
TL;DR: Further development of Chebyshev type inequalities for Sugeno integrals based on an aggregation function H and a scale transformation ϕ is given and consequences for T-(S-)evaluators are established.
Journal ArticleDOI
An alternative approach for choice models in transportation: use of possibility theory for comparison of utilities
Mauro Dell’Orco,Shinya Kikuchi +1 more
TL;DR: In this article, the authors proposed a modeling framework that attempts to account for the decision maker's uncertainty by possibility theory and then the analyst's uncertainty in probability theory, using the principle of uncertainty invariance.
Journal ArticleDOI
Perception-based granular probabilities in risk modeling and decision making
TL;DR: The need for using decision functions to aid in capturing the decision maker's preference among these types of uncertain alternatives is discussed and the use of fuzzy rule based formulations to model these functions is investigated.
Journal ArticleDOI
Granulized Z-VIKOR Model for Failure Mode and Effect Analysis
TL;DR: Wang et al. as discussed by the authors developed an improved failure mode and effect analysis (FMEA) model by leveraging the concepts of Z-number, rough number (RN), and probabilistic distance measure.
Journal ArticleDOI
Generalization of the Stolarsky type inequality for pseudo-integrals
TL;DR: A Stolarsky type inequality is proved for two classes of pseudo-integrals based on a semiring with an idempotent addition and a generated pseudo-multiplication.