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
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Book ChapterDOI
Extended Extremal Monotone Measures on Composition Products of Measurable Spaces
TL;DR: In this paper, the basic properties of extremal fuzzy measures and their extensions are investigated, and the notion of H-composition over extremal monotone measures is introduced, and some algebraic properties of the corresponding structures, which form the most important part of the fuzzy instrument of modeling extremal dynamic systems, are discussed.
Proceedings ArticleDOI
Weighted fuzzy production rule reasoning with interactive propositions
D.S. Yeung,M.H. Ha,X.Z. Wang +2 more
TL;DR: Several non-linear integrals with respect to a fuzzy measure or a non-additive set function are outlined and Illustrative examples show that the inclusion of an expert measure enhances the representative and interpretive power of fuzzy production rules.
Book ChapterDOI
Neuro-Fuzzy Computing: Structure, Performance Measure and Applications
P. A. Stadterl,N. K. Bose +1 more
TL;DR: A new performance measure, called the modified fuzzy divergence, which is particularly suited to evaluating neuro-fuzzy classifi-ers, has been developed and is discussed with particular attention to the consequences of applying deterministic and stochastic learning rules.
Book ChapterDOI
Forecasting Decreasing Financial Risk of the Georgia-Based Organization Industria Kiri Ltd. by a Finite Model of a Possibilistic Dynamic System
TL;DR: A new approach to a fuzzy prediction problem for weakly structurable dynamic systems is presented, and a fuzzy recurrent process with possibilistic uncertainty, the source of which is expert knowledge reflections on the states of a complex evolutionary system is constructed.
Journal ArticleDOI
On an extended chebyshev type inequality for semi(co)normed fuzzy integrals
TL;DR: The aim of the present paper is to establish an extended Chebyshev type inequality for semi(co)normed fuzzy integrals based on an aggregation function and a scale transformation.