一种资源投入不确定情形下的合作博弈形式及收益分配策略

doi:10.15960/j.cnki.issn.1007-6093.2019.04.006

Abstract

Abstract: Firstly, the crisp cooperative game is extended, and a kind of generalized form for cooperative game with fuzzy coalition is proposed. Three main cooperative games with fuzzy coalition are all contained in this generalized form for cooperative game with fuzzy coalition, that is, the multilinear extension game, the fuzzy game with proportional value and fuzzy game with Choquet integral form. The fuzzy Shapley value for fuzzy game with proportional value and fuzzy game with Choquet integral form are also taken as a kind allocation scheme of cooperative game with fuzzy coalition. However, the fuzzy Shapley for multilinear game is never studied, so in this paper we proposed fuzzy Shapley value by the crisp Shapley value, which is seen as a kind of allocation strategies. Finally, the three cooperative games with fuzzy coalition are analyzed respectively based on an example, and the maximum income game and the optimal allocation strategy are analyzed. The research results in this paper may put a certain decision-making basis for strategic choice of collaborative problem in low-carbon supply chain under uncertainty.

Key words: cooperative game, payoff allocation, uncertain

CLC Number:

N945.25

YU Xiaohui, DU Zhiping, ZHANG Qiang, ZHOU Zhen, PANG Jinhui. A generalized form of fuzzy cooperative game and its solution[J]. Operations Research Transactions, 2019, 23(4): 71-85.

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A generalized form of fuzzy cooperative game and its solution

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