ar X iv : 0 71 1 . 21 12 v 1 [ cs . D M ] 1 4 N ov 2 00 7 Bi - capacities Part II : The Choquet integral 1
نویسندگان
چکیده
Bi-capacities arise as a natural generalization of capacities (or fuzzy measures) in a context of decision making where underlying scales are bipolar. They are able to capture a wide variety of decision behaviours, encompassing models such as Cumulative Prospect Theory (CPT). The aim of this paper in two parts is to present the machinery behind bicapacities, and thus remains on a rather theoretical level, although some parts are firmly rooted in decision theory, notably cooperative game theory. The present second part focuses on the definition of Choquet integral. We give several expressions of it, including an expression w.r.t. the Möbius transform. This permits to express the Choquet integral for 2-additive bi-capacities w.r.t. the interaction index.
منابع مشابه
ar X iv : 0 71 1 . 32 82 v 1 [ he p - ph ] 2 1 N ov 2 00 7 Study of Pure Annihilation Decays B d , s → D 0 D 0
With heavy quark limit and hierarchy approximation λ QCD ≪ m D ≪ m B , we analyze the
متن کاملer si on 1 - 1 3 N ov 2 00 7 Bi - capacities Part II : The Choquet integral 1
Bi-capacities arise as a natural generalization of capacities (or fuzzy measures) in a context of decision making where underlying scales are bipolar. They are able to capture a wide variety of decision behaviours, encompassing models such as Cumulative Prospect Theory (CPT). The aim of this paper in two parts is to present the machinery behind bicapacities, and thus remains on a rather theoret...
متن کاملar X iv : 0 71 1 . 05 21 v 1 [ he p - ph ] 4 N ov 2 00 7 CC DIS at α 3 s in Mellin - N and Bjorken - x spaces
Third-order results for the structure functions of charged-current deep-inelastic scattering are discussed. New results for 11’th Mellin moment for F ν p−ν̄ p 2,L structure functions and 12’th moment for F ν p−ν̄ p 3 are presented as well as corresponding higher Mellin moments of differences between the respective crossing-even and -odd coefficient functions. Approximations in Bjorken-x space for...
متن کامل