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Cooperative fuzzy games on augmenting systems

In this paper, a generalised form of fuzzy games on augmenting systems is introduced, which can be seen as an extension of crisp case. The Shapley value for fuzzy games on augmenting systems is given. An axiomatic system of the given Shapley value is studied, and some properties are discussed. Meantime, we further research two special cases of fuzzy games on augmenting systems. The Shapley value and the core of these two kinds of fuzzy games on augmenting systems are introduced.