A set of axioms for a value for partition function games
International Journal of Game Theory
Handbook of combinatorics (vol. 2)
International Journal of Intelligent Systems - Decision Sciences: Foundations and Applications
A class of fuzzy multisets with a fixed number of memberships
Information Sciences: an International Journal
Lattice-valued matrix game with mixed strategies for intelligent decision support
Knowledge-Based Systems
Belief functions on distributive lattices
Artificial Intelligence
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In cooperative game theory, games in partition function form are real-valued function on the set of the so-called embedded coalitions, that is, pairs (S,@p) where S is a subset (coalition) of the set N of players, and @p is a partition of N containing S. Despite the fact that many studies have been devoted to such games, surprisingly nobody clearly defined a structure (i.e., an order) on embedded coalitions, resulting in scattered and divergent works, lacking unification and proper analysis. The aim of the paper is to fill this gap, thus to study the structure of embedded coalitions (called here embedded subsets), and the properties of games in partition function form.