Non-monotonic fuzzy measures and the Choquet integral
Fuzzy Sets and Systems
Canonical representation of set functions
Mathematics of Operations Research
International Journal of Game Theory
Representation of the Choquet integral with &sgr;-additive Mo¨bius transform
Fuzzy Sets and Systems - Special issue on fuzzy measures and integrals
International Journal of Approximate Reasoning
Information Sciences: an International Journal
An axiomatic approach of the discrete Choquet integral as a tool to aggregate interacting criteria
IEEE Transactions on Fuzzy Systems
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In this paper, we introduce the notion of a bi-cooperative game with fuzzy bi-coalitions and discuss the related properties. In real game theoretic decision making problems, many criteria concerning the formation of coalitions have bipolar motives. Our model tries to explore such bipolarity in fuzzy environment. The corresponding Shapley axioms are proposed. An explicit form of the Shapley value as a possible solution concept to a particular class of such games is also obtained. Our study is supplemented with an illustrative example.