Fuzzy Measures and Integrals: Recent Developments

Michel Grabisch

PSE-Ecole d'économie de Paris (Postprint) from HAL

Abstract: This paper surveys the basic notions and most important results around fuzzy measures and integrals, as proposed independently by Choquet and Sugeno, as well as recent developments. The latter includes bases and transforms on set functions, fuzzy measures on set systems, the notion of horizontal additivity, basic Choquet calculus on the nonnegative real line introduced by Sugeno, the extension of the Choquet integral for nonmeasurable functions, and the notion of universal integral.

Keywords: fuzzy measure; fuzzy integral; Choquet integral (search for similar items in EconPapers)
Date: 2015
Note: View the original document on HAL open archive server: https://hal.science/hal-01477514v1
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Published in Fifty years of fuzzy logic and its applications, pp.125 - 151, 2015, ⟨10.1007/978-3-319-19683-1_8⟩

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Related works:
Working Paper: Fuzzy Measures and Integrals: Recent Developments (2015)
Working Paper: Fuzzy Measures and Integrals: Recent Developments (2015)
Working Paper: Fuzzy Measures and Integrals: Recent Developments (2015)
Working Paper: Fuzzy Measures and Integrals: Recent Developments (2015)
Working Paper: Fuzzy Measures and Integrals: Recent Developments (2015)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:pseptp:hal-01477514

DOI: 10.1007/978-3-319-19683-1_8

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