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 Daniell—Kolmogorov theorem for supremum preserving upper probabilities
TL;DR: An analogon for possibilistic processes (and possibility measures) of the well-known probabilistic Daniell-Kolmogorov theorem is proved, in the important special case that the variables assume values in compact spaces, and that the possibility measures involved are regular.
Journal ArticleDOI
Moment Estimation Inequalities Based on Random Variable on Sugeno Measure Space
TL;DR: The definition and properties of moment of random variable are provided on Sugeno measure space and some important moment estimation inequalities based on random variable were presented and proven in this article, where some important moments estimation inequalities were shown and proven.
Book ChapterDOI
Jensen Inequality with Subdifferential for Sugeno Integral
TL;DR: The classical Jensen inequality for concave function \(\varphi \) is adapted for the Sugeno integral using the notion of the subdifferential using the framework of the Lebesgue measure.
Posted Content
Idempotent and tropical mathematics and problems of mathematical physics (Volume II)
TL;DR: The proceedings of an International Workshop on Idempotent and Tropical Mathematics and Problems of Mathematical Physics, held at the Independent University of Moscow, Russia, on August 25-30, 2007 as mentioned in this paper
Journal ArticleDOI
Sugeno Integral with Possibilistic Inputs with Application to Multi-Criteria Decision Making
TL;DR: An alternative view of the Sugeno integral is provided that enables it to extend its use to situations in which the arguments in the aggregation are possibility distributions, and operational formulations for the calculation of some notable decision functions are provided.