k-order additive discrete fuzzy measures and their representation
Fuzzy Sets and Systems - Special issue on fuzzy measures and integrals
Equivalent Representations of Set Functions
Mathematics of Operations Research
Modeling interaction phenomena using fuzzy measures: on the notions of interaction and independence
Fuzzy Sets and Systems - Non-additive measures and random processes
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
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In this paper, the derivative among participation levels of players in games with fuzzy coalitions, which measures the simultaneous interaction among players with certain participation levels, is defined. Some properties of the derivative of fuzzy game with k-monotonicity are studied. Furthermore, the interaction index among participation levels is established. Based on the assumption that fuzzy characteristic functions are continuous, the integral index of (absolute) interaction among levels is proposed and the integral index of (absolute) interaction among players is defined as well. At last, the Shapley total integral index of interaction among players is constructed, and a series of properties relative to the index are proved.