An Empirical Study of Statistical Properties of the Choquet and Sugeno Integrals

Michel Grabisch B · Éric Raufaste

30 citations0/0 files storedIEEE Transactions on Fuzzy Systems

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Multi-Criteria Decision Making Fuzzy Logic and Control Systems Fuzzy Systems and Optimization

Abstract

This paper investigates the statistical properties of the Choquet and Sugeno integrals, used as multiattribute models. The investigation is done on an empirical basis, and focuses on two topics: the distribution of the output of these integrals when the input is corrupted with noise, and the robustness of these models when they are identified using some set of learning data through some learning procedure.

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1988A value for n -person games 1952Contributions to the Theory of Games 1996The application of fuzzy integrals in multicriteria decision making 1997k-order additive discrete fuzzy measures and their representation 1995Fuzzy integral in multicriteria decision making 2000Fuzzy Measures and Integrals - Theory and Applications 2002A new algorithm for identifying fuzzy measures and its application to pattern recognition 2000Equivalent Representations of Set Functions

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2009Elicitating Sugeno Integrals: Methodology and a Case Study 2013Revised HLMS: A useful algorithm for fuzzy measure identification

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