Capacities and Games on Lattices: A Survey of Result

Michel Grabisch

Université Paris1 Panthéon-Sorbonne (Post-Print and Working Papers) from HAL

Abstract: We provide a survey of recent developments about capacities (or fuzzy measures) and ccoperative games in characteristic form, when they are defined on more general structures than the usual power set of the universal set, namely lattices. In a first part, we give various possible interpretations and applications of these general concepts, and then we elaborate about the possible definitions of usual tools in these theories, such as the Choquet integral, the Möbius transform, and the Shapley value.

Keywords: capacity; fuzzy measure; game; lattice; Choquet integral; Shapley value (search for similar items in EconPapers)
Date: 2006-08
Note: View the original document on HAL open archive server: https://shs.hal.science/halshs-00179830v1
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Published in International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, 2006, 14 (4), pp.371-392. ⟨10.1142/S0218488506004084⟩

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Working Paper: Capacities and Games on Lattices: A Survey of Result (2006)
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Persistent link: https://EconPapers.repec.org/RePEc:hal:cesptp:halshs-00179830

DOI: 10.1142/S0218488506004084

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