1994•International Journal of General SystemsRequires access

A THEORY OF FUZZY MEASURES: INTEGRATION AND ITS ADDITIVITY

Radko Mesiar, Ján Šípoš

Abstract

Fuzzy measures and their corresponding Choquet integrals introduced by Murofushi and Sugeno [1989, 1991] are included in the theory of pre-measures and the corresponding integral developed by Šipoš [1979a, 1979b]. The additivity of Šipoš integral is studied. As a corollary, the additivity of the Choquet integral is obtained.

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Key concepts: Additive function, Choquet integral, Corollary, Mathematics, Fuzzy measure theory, Fuzzy logic, Measure (data warehouse), Applied mathematics