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Fuzzy-Valued Choquet Integrals(II)——The Choquet Integral of Functions with Respect to Fuzzy-Valued Fuzzy Measures

Guo Cai

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Abstract

In this paper, a kind of Choquet integral valued in fuzzy number sets is studied. Its integrand is a single valued function, and the measure is a fuzzy valued fuzzy measure. The definition, properties and convergence theorems are shown.

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What this paper is about

In this paper, a kind of Choquet integral valued in fuzzy number sets is studied. Its integrand is a single valued function, and the measure is a fuzzy valued fuzzy measure. The definition, properties and convergence theorems are shown.

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Available abstract

In this paper, a kind of Choquet integral valued in fuzzy number sets is studied. Its integrand is a single valued function, and the measure is a fuzzy valued fuzzy measure. The definition, properties and convergence theorems are shown.

Key concepts: Mathematics, Fuzzy measure theory, Choquet integral, Fuzzy logic, Measure (data warehouse), Fuzzy number, Membership function, Fuzzy mathematics

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Fuzzy-Valued Choquet Integrals(II)——The Choquet Integral of Functions with Respect to Fuzzy-Valued Fuzzy Measures — Research Paper | ScholarLens