模糊合作博弈局中人参与水平间相互作用度量

本文基于经典合作博弈局中人间相互作用现象的有关度量方法,针对具有模糊联盟的合作博弈问题,给出了模糊联盟中各局中人参与水平间相互作用的度量方法,定义了水平间相互独立性概念,建立了反映局中人各参与水平间相互作用平均程度的两指标:Shapley相互作用指标及Banzhaf相互作用指标.同时对于具有k-单调性的模糊合作博弈局中人参与水平间的边缘相互作用的有关性质作了进一步研究,得出了一些新的结论.

The Measure of Interaction Among Participation Levels of Players in Fuzzy Cooperative Games

Based on the measure of interaction among players in crisp cooperative games, an approach to measure interaction among participation levels in fuzzy cooperative games with fuzzy coalition is proposed. The concept of independence among participation levels is defined. Two indexes of interaction: Shapley index of interaction and Banzhaf index of interaction among levels are established, which indicate the degree of interaction among levels. At the same time, the properties of interaction among levels for fuzzy cooperative games with k-monotonicity are discussed, some new conclusions are achieved.