Abstract
This paper gives a survey of the theory and results on representation of importance and interaction of fuzzy measures, capacities, games and its extensions: games on convex geometries, bi-capacities, bi-cooperative games, and multi-choice games, etc. All these games are regarded as games on products of distributive lattices or on regular set systems.
This research was partially supported by the Ministry of Education, Culture, Sports, Science and Technology-Japan, Grant-in-Aid for Scientific Research (C), 19510136, 2007-2009.
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Fujimoto, K. (2010). Representations of Importance and Interaction of Fuzzy Measures, Capacities, Games and Its Extensions: A Survey. In: Huynh, VN., Nakamori, Y., Lawry, J., Inuiguchi, M. (eds) Integrated Uncertainty Management and Applications. Advances in Intelligent and Soft Computing, vol 68. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-11960-6_12
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