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 ArticleDOI
Decomposable measures and nonlinear equations
TL;DR: A unified method is given for solving some nonlinear differential (ordinary and partial), difference and optimization equations, using pseudo-superposition principle and pseudoLaplace transform.
Journal ArticleDOI
Multi-criteria trapezoidal valued intuitionistic fuzzy decision making with Choquet integral based TOPSIS
Ismat Beg,Tabasam Rashid +1 more
TL;DR: In this paper, a generalized trapezoidal-valued intuitionistic fuzzy geometric aggregation operator is proposed which is then used to aggregate decision makers' opinions in group decision making process, where interdependent or interactive characteristics among criteria and preference of decision makers are under consideration.
Journal ArticleDOI
Berwald type inequality for Sugeno integral
TL;DR: Berwald type inequality for the Sugeno integral based on a concave function is studied and several examples are given to illustrate the validity of this inequality.
Journal ArticleDOI
Nonlinear nonnegative multiregressions based on Choquet integrals
TL;DR: A new nonlinear nonnegative multiregression is established based on Choquet integrals with respect to the set function, which provides an effective regression tool in some real problems where the linearMultiregression model and the second-order multiregressive model fail.
Journal ArticleDOI
The Construction of Consistent Possibility and Necessity Measures
TL;DR: This work develops possibility and necessity measures as upper and lower estimators of µ and shows that the measure can be approximated with arbitrary closeness using fuzzy measures constructed this way.