منابع مشابه
Capacities on lattices and k-ary capacities
We propose a general notion of capacity defined on any finite distributive lattice, encompassing usual capacities, bi-capacities, and their immediate extensions called k-ary capacities. We define key notions such as Möbius transform, derivative, Shapley value and Choquet integral.
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We introduce bi-capacities as a natural generalization of capacities (or fuzzy measures) through the identity of Choquet integral of binary alternatives with fuzzy measures. We examine the underlying structure and derive the Möbius transform of bi-capacities. Next, the Choquet and Sugeno integrals w.r.t bicapacities are introduced. It is shown that symmetric and asymmetric integrals are recover...
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ژورنال
عنوان ژورنال: Mathematical Research Letters
سال: 2003
ISSN: 1073-2780,1945-001X
DOI: 10.4310/mrl.2003.v10.n1.a9