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Fuzzy Measure Theory

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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.

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Proceedings ArticleDOI

Using Pseudo Gradient Search for Solving Nonlinear Multiregression Based on 2-Additive Measures

TL;DR: In an optimization problem, when the objective function is not differentiate, such as nonlinear multiregressions based on the generalized Choquet integral, the traditional gradient search fails, and is replaced with a pseudo gradient to determine the optimal search direction.
Proceedings ArticleDOI

A New Model based on Fuzzy integral for Cancer Prediction

TL;DR: This article proposed one new model based on fuzzy integral with respect to fuzzy measure for cancer prediction with sparse genes that has the highest testing accuracy and F-score by comparing with several state-of-the-art methods.
Proceedings ArticleDOI

Interval type-2 recurrent fuzzy neural system desing via stable simultaneous perturbation stochastic approximation algorithm

TL;DR: A new type fuzzy neural systems, denotes IT2RFNS-A (interval type-2 recurrent fuzzy neural system with asymmetric membership function), for nonlinear systems control is proposed to enhance the performance and approximation ability, and the TSK-type consequent part is adopted.

Classifying Fuzzy Numbers

Angel Garrido
TL;DR: This paper analyzes some new lines to advance on analythical concepts, as can be the so-called Fuzzy Number, introducing Interval Numbers, Triangular Numbers, Trapezoidal Numbers, and so on, on Universes of Discourse, jointly with new ideas aboutFuzzy Complex Numbers.