2004 • In Proc. 10th Int. Conf. on Information Processing and Management of Uncertainty in Knowledge-Based Systems (IPMU 2004), Perugia, Italy, July 4-9, 2004
cooperative games; multicriteria decision making; interaction among players/criteria; values and interaction indices
Abstract :
[en] In the framework of cooperative game theory and multicriteria decision making, the concept of interaction index, which can be regarded as an extension of that of value, has been recently proposed to measure the interaction phenomena among players or criteria. Axiomatizations of two classes of interaction indices, namely probabilistic interaction indices and cardinal-probabilistic interaction indices, generalizing probabilistic values and semivalues, respectively, are first proposed. Three existing instances of cardinal-probabilistic interaction indices encountered thus far in the literature are also axiomatized.
Disciplines :
Mathematics Quantitative methods in economics & management
Author, co-author :
Fujimoto, Katsushige; Fukushima University, Fukushima, Japan