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Fuzzy integrals for set-valued mappings
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DOI：10.1016/S0165-0114(98)00385-6.png)
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Abstract
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In this paper, we introduce the concept of fuzzy integrals for set-valued mappings, which is an extension of fuzzy integrals for single-valued functions defined by Sugeno. We give some properties including convergence theorems on fuzzy integrals for set-valued mappings. (C) 2001 Elsevier Science B.V. All rights reserved.
Keywords:
analysis
measure theory
fuzzy integral
measurable selection
fuzzy measure
set-valued mapping
Fatou's lemma
Lebesgue convergence theorem
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