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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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Book ChapterDOI

A Novel Choquet Integral Composition Forecasting Model for Time Series Data Based on Completed Extensional L-Measure

TL;DR: The experimental results showed that the Choquet integral composition forecasting model with respect to the completed extensional L-measure and M-density outperforms other ones and is better than the one based on N-density.
Journal ArticleDOI

Multiple nonlinear integral for classification

TL;DR: The experimental results show that the new model has better performance compared with the classical algorithm and the classical Nonlinear Integral, especially to the HBV data, and presents the superior on diagnosis to the others.
Proceedings ArticleDOI

Some properties of (S) fuzzy integral

TL;DR: In this paper, some properties of fuzzy integral for fuzzy set on non-negative real number set are investigated and some interesting conclusions are obtained.
Journal ArticleDOI

Hesitant Neutrosophic Linguistic Sets and Their Application in Multiple Attribute Decision Making

TL;DR: In this article, the hesitant neutrosophic linguistic set is defined by extending a hesitant fuzzy set to accommodate linguistic terms and neutro-ophic fuzzy values, and several distance measures have been defined, including generalized hesitant linguistics distance, generalized hesitant hesitant linguistic Hausdorff distance, and generalized hesitant neutral linguistics hybrid distance.
Proceedings ArticleDOI

Medical information research based on fuzz integral

TL;DR: As the authors know, the treatment of a patient is a fuzz process which usually can not be described by certain words or numbers, so rough set can help to set up a series of rules to judge disease by the patient's symptom which is well combined with fuzz math.