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
Tropical Gaussians: A Brief Survey
TL;DR: In this article, the authors review the existing analogues of the Gaussian measure in the tropical semiring and outline various research directions, and present a survey of the existing methods.
Journal ArticleDOI
Lateral Vehicle Behaviour: Comparison of Subjective/Objective Assessment Using the Choquet Integral
TL;DR: An original method for the aggregation of transverse behaviour indicators obtained first from a subjective assessment then from an objective one of different vehicles tested under normal working conditions, to take account of the existing interactions between the indicators.
Journal ArticleDOI
Possibility measures and possibility integrals defined on a comple lattice
TL;DR: The definition of possibility measures on complete lattices rather than on complete Boolean algebras of sets is considered, and a necessary and sufficient condition for the extendability of any mapping to such a possibility measure is given.
Book ChapterDOI
Multi-parameter models: rules and computational methods for combining uncertainties
TL;DR: This paper is devoted to the construction of sets of joint probability measures for the case that the marginal sets of probability measures are generated by random sets.
Journal ArticleDOI
Vague Rough Set Techniques for Uncertainty Processing in Relational Database Model
TL;DR: The notion of indiscernibility and possibility from rough set theory coupled with the idea of membership and non-membership values from vague set theory are utilized to represent uncertain information in a manner that maintains the degree of uncertainty of information for each tuple of the original database and also those resulting from queries.