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• W3125655153 abstract "In works dealing with capacities (fuzzy measures) and the Choquet integral on finite spaces, it is usually considered that all subsets of the universe are measureable. Hence, all functions are in- tegrable in the sense of Choquet. We consider the situation where some subsets are not measurable (not feasible), so that there are non- integrable functions. Since this is a severe limitation in applications, we study how to extend the Choquet integral to any function. Our results mainly deal with the case where the set of feasible subsets is a distributive lattice. Keywords— Choquet integral, fuzzy measure, capacity, Monge algorithm, set system, distributive lattice" @default.
• W3125655153 created "2021-02-01" @default.
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• W3125655153 date "2009-07-01" @default.
• W3125655153 modified "2023-09-23" @default.
• W3125655153 title "A Monge algorithm for computing the Choquet integral on set systems" @default.
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