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Aggregation functions are mostly used in decision-making situations that require information fusion in a meaningful manner. The main purpose of aggregation is to turn a group of input data into a single and comprehensive one. However, in real decision-making and system evaluation prob- K E Y W O R D Saggregation, certainty fuzzy measure, decision making, fuzzy measure Int J Intell Syst. 2018;33:759-770.wileyonlinelibrary.com/journal/int

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In this paper, the problem of allocation of the profit, obtained from a fuzzy coalition, among its players is considered. It is argued that this allocation is influenced by satisfaction of the players in regards to better performance and success within a cooperative endeavour. Our model is based on the real life situations, where possibly one or more players compromise on their payoffs in order to help forming a coalition. We have developed a dynamic approach to obtain a suitable solution to the corresponding cooperative fuzzy game. Further, the notion of a penalty among the bargaining players is introduced. This would inflict them to reasonable demands only.