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Fuzzy Measure Theory
Zhenyuan Wang,George J. Klir +1 more
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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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Journal ArticleDOI
Related Fritz Carlson type inequalities for Sugeno integrals
Bayaz Daraby,Leila Arabi +1 more
TL;DR: Two general related inequalities to Carlson type inequality for the Sugeno integrals on an abstract fuzzy measure space $$(X, \mathcal{F})$$ are studied.
Journal ArticleDOI
A Discrete-Time American Put Option Model with Fuzziness of Stock Prices
TL;DR: This work considers the optimal expected price of the American put option by dynamic programming under a reasonable assumption and three kinds of mean values by fuzzy measures, which are based on Possibility, Necessity and Credibility, are demonstrated particularly.
Journal ArticleDOI
On retarded fuzzy functional differential equations and nonabsolute fuzzy integrals
TL;DR: The results generalize existence results in a Kaleva integral setting to a fuzzy Henstock integral setting and provide some existence theorems for the generalized solution for retarded fuzzy functional differential equations.
Journal ArticleDOI
Application of fuzzy data fusion theory in fault diagnosis of rotating machinery
TL;DR: The most common induction motor faults including bearing outer race defect, broken rotor bar, and short-circuit of stator windings are diagnosed with high reliability and validated experimentally on the 4 hp induction motor of an electropump.
Proceedings ArticleDOI
An Intelligent System for Pattern Recognition and Time Series Prediction using Modular Neural Networks
TL;DR: A software tool to experiment with new neural multi-net structures, incuding ensemble and modular approaches, and the implementation of the Sugeno Integral formulas to allow the combination of any number of elements.