Discrete Choquet integral and some of its symmetric extensions

DOI10.1016/j.fss.2010.11.013zbMath1243.28004DBLPjournals/fss/MesiarMA11OpenAlexW2019527050WikidataQ57753977 ScholiaQ57753977MaRDI QIDQ429427

Khurshid Ahmad, Radko Mesiar, Andrea Mesiarová-Zemánková

Publication date: 19 June 2012

Published in: Fuzzy Sets and Systems (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.fss.2010.11.013

zbMATH Keywords

capacityChoquet integralOWA operatorbalancing Choquet integralfusion Choquet integralSipos integralsymmetric maximum

Mathematics Subject Classification ID

Fuzzy measure theory (28E10)

Related Items (12)

Fuzzy bi-cooperative games in multilinear extension form ⋮ Discrete bipolar universal integrals ⋮ Indicators for the characterization of discrete Choquet integrals ⋮ What attitudes to risk underlie distortion risk measure choices? ⋮ Averaging operators in fuzzy classification systems ⋮ Maximal chain-based Choquet-like integrals ⋮ The connection between distortion risk measures and ordered weighted averaging operators ⋮ Bipolar fuzzy integrals ⋮ Modelling Human Decision Behaviour with Preference Learning ⋮ Choquet integral with respect to a symmetric fuzzy measure of a function on the real line ⋮ Hesitant fuzzy geometric Bonferroni means ⋮ A fairness relation based on the asymmetric Choquet integral and its application in network resource allocation problems

Cites Work

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• The balancing Choquet integral
• Some quantities represented by the Choquet integral
• Non-additive measure and integral
• The symmetric Sugeno integral.
• The Möbius transform on symmetric ordered structures and its application to capacities on finite sets
• Fuzzy integral in multicriteria decision making
• Theory of capacities
• Generalized Measure Theory
• On ordered weighted averaging aggregation operators in multicriteria decisionmaking

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