Bi-capacities for decision making on bipolar scales
نویسندگان
چکیده
We present the concept of bi-capacity as a generalization of capacities (or fuzzy measures). The Choquet integral w.r.t. bi-capacities is defined, and is a generalization of Cumulative Prospect Theory models. This new model can bring much more flexibility in representing preferences. Lastly, we introduce the Möbius transform of bi-capacities.
منابع مشابه
Part I : Definition , Möbius Transform and Interaction 1 Michel
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...
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Bi-capacities are 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. After a short presentation of the basis structure, we introduce the Shapley value and the interaction index for capacities. Afterwards, the case of bi-capacities is studied with new axiom...
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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...
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