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Plenary lecture 2: fuzzy type set-valued integrals

Anca Croitoru

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Abstract

Since Aumann introduced in 1965 the integral of a multifunction, the theory of set-valued integrals has become an interesting and important topic due to numerous applications in economics, probabilities, theory of control. The lecture is focused on presenting properties of fuzzy type set-valued integrals for real functions (multifunctions respectively) with respect to a fuzzy multimeasure (fuzzy measure respectively).

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What this paper is about

Since Aumann introduced in 1965 the integral of a multifunction, the theory of set-valued integrals has become an interesting and important topic due to numerous applications in economics, probabilities, theory of control. The lecture is focused on presenting properties of fuzzy type set-valued integrals for real functions (multifunctions respectively) with respect to a fuzzy multimeasure (fuzzy measure respectively).

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Available abstract

Since Aumann introduced in 1965 the integral of a multifunction, the theory of set-valued integrals has become an interesting and important topic due to numerous applications in economics, probabilities, theory of control. The lecture is focused on presenting properties of fuzzy type set-valued integrals for real functions (multifunctions respectively) with respect to a fuzzy multimeasure (fuzzy measure respectively).

Key concepts: Fuzzy set, Fuzzy measure theory, Type (biology), Fuzzy logic, Measure (data warehouse), Mathematics, Set (abstract data type), Fuzzy control system

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