This paper is mainly committed to constructing a new model for solving interval-valued\nfuzzy cooperative games based on the least square excess. We propose the interval-valued least\nsquare excess solution according to the solution concept of the least square prenucleolus and the\nleast square nucleolus for solving crisp cooperative games. In order to obtain the corresponding\noptimal analytical solution, one mathematic programming model is constructed. The least square\nexcess solution can be used to determine playsâ?? payoffs directly. Considering the fuzziness and\nuncertainty existing in the process of the road freight coalition, we establish the interval-valued fuzzy\nutility function of the road freight coalition that can properly reflect the real situation in view of\nthe green logistics. The illustratively calculated results show that the least square excess solution\nproposed in this paper is effectual and ascendant, and satisfied many important and useful properties\nof cooperative games, such as symmetry and uniqueness. As for the problems of interval-valued\ncooperative games, the model proposed in this paper can be applied appropriately to obtain the\nplayersâ?? interval-valued payoffs.
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