Fuzzy Measures and Integrals: Recent Developments

Michel Grabisch

Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) 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; capacity; Choquet integral; Sugeno integral (search for similar items in EconPapers)
Date: 2015
New Economics Papers: this item is included in nep-hpe
Note: View the original document on HAL open archive server: https://hal.science/hal-01302377v1
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Published in D. E. Tamir and D. Rishe and A. Kande. Fifty Years of Fuzzy Logic and its Applications, 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:cesptp:hal-01302377

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

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