An axiomatization of the core of market games
Mathematics of Operations Research
Reduced games, consistency, and the core
International Journal of Game Theory
A lexicographical solution concept in an n-person cooperative fuzzy game
Fuzzy Sets and Systems
Axiomatizations of the core on the universal domain and other natural domains
International Journal of Game Theory
Fuzzy Sets and Systems - Theme: Decision and optimization
Fuzzy and Multiobjective Games for Conflict Resolution (Studies in Fuzziness and Soft Computing)
Fuzzy and Multiobjective Games for Conflict Resolution (Studies in Fuzziness and Soft Computing)
Fuzzy games: A characterization of the core
Fuzzy Sets and Systems
The consistent value of fuzzy games
Fuzzy Sets and Systems
The robustness of generalized abstract fuzzy economies in generalized convex spaces
Fuzzy Sets and Systems
Proper cores and dominance cores of fuzzy games
Fuzzy Optimization and Decision Making
Cores of fuzzy games and their convexity
Fuzzy Sets and Systems
The equal allocation of nonseparable costs: An extension under fuzzy behavior
Fuzzy Sets and Systems
The Shapley function for fuzzy games with fuzzy characteristic functions
Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology
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Recently, Hwang introduced two extensions of the max-reduced game to fuzzy games by reducing the number of the players. Based on these reduced games, he offered analogous axiomatizations of the core related to Serrano and Volij in the context of fuzzy games. Here, we continue and develop Hwang's work on similar topics. However, we turn to a different definition of the reduced game by simultaneously reducing both the number of the players and the participation levels. We propose such extensions of the complement-reduced game and of the max-reduced game to fuzzy games and define the related properties of consistency and converse consistency. Based on these properties, we offer several analogous characterizations of the core related to Peleg, Serrano and Volij and Tadenuma, respectively.