On Choquet and Sugeno integrals as aggregation functions

Jean‐Luc Marichal

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Multi-Criteria Decision Making Game Theory and Voting Systems Advanced Algebra and Logic

Abstract

This paper presents a synthesis on the essential mathematical properties of Choquet and Sugeno integrals viewed as aggregation functions.Some axiomatic characterizations are presented.Subfamilies of the class of those integrals are also investigated.

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1988On ordered weighted averaging aggregation operators in multicriteria decisionmaking 1994Fuzzy Preference Modelling and Multicriteria Decision Support 1993On Ordered Weighted Averaging Aggregation Operators in Multicriteria Decisionmaking 1996The application of fuzzy integrals in multicriteria decision making 1995Fuzzy integral in multicriteria decision making 1995Characterization of the ordered weighted averaging operators 1993Some quantities represented by the Choquet integral 1995On equivalence classes of fuzzy connectives-the case of fuzzy integrals

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2010Fuzzy-probabilistic aggregations in the discrete covering problem 2016Conjoint Measurement Tools for MCDM 2017Categorization in multi-criteria decision making

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