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Fuzzy Measure Theory

Zhenyuan Wang, +1 more
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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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Journal ArticleDOI

Fuzzy measures and integrals defined on algebras of fuzzy subsets over complete residuated lattices

Antonín Dvořák, +1 more
- 01 Feb 2012 - 
TL;DR: Basic notions about fuzzy measures over algebras of fuzzy subsets of a fuzzy set and basic ideas on fuzzy integrals defined using these fuzzy measures are presented.
Journal ArticleDOI

Liquidity and credit risk

Umberto Cherubini, +1 more
- 01 May 2001 - 
TL;DR: In this paper, the authors use fuzzy measure theory to represent liquidity risk, i.e. the case in which the probability measure used to price contingent claims is not known precisely.
Journal ArticleDOI

Modelling group processes and effort estimation in project management using the Choquet integral: An MCDM approach

Alessio Bonetti, +4 more
- 01 Dec 2012 - 
TL;DR: This paper exploits further the synergies between experts and non-experts in an MCDM framework, aggregating the individual estimates by means of non-additive Choquet integration, and representing the complementary bias by the multiagent interaction structure underlying the capacity.
Book ChapterDOI

A content-based image quality metric

Xinbo Gao, +2 more
TL;DR: A novel image quality assessment measure, called content-based metric (CBM), is proposed, which fuses the amount and local information into the similarity of the image structural information and gives a comprehensive evaluation for the quality of the specified image.
Journal ArticleDOI

On a certain class of aggregative operators

József Dombi
- 01 Oct 2013 - 
TL;DR: A new representation theorem of strong negations that explicitly contains the neutral value is presented and a certain class of weighted aggregative operators (representable uninorms) which build a self-DeMorgan class with infinitely many negations is studied.