The three semantics of fuzzy sets
Fuzzy Sets and Systems - Special issue: fuzzy sets: where do we stand? Where do we go?
Fuzzy Sets and Systems: Theory and Applications
Fuzzy Sets and Systems: Theory and Applications
Methods and Applications of Interval Analysis (SIAM Studies in Applied and Numerical Mathematics) (Siam Studies in Applied Mathematics, 2.)
Inequality relation between fuzzy numbers and its use in fuzzy optimization
Fuzzy Sets and Systems
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We introduce a core-like concept (called F-core) for games in which the worth of any coalition is given by means of a fuzzy interval. Such a class of cooperative games was introduced by Mares in 1999. Different from Mares' approach, the F-core generalizes the interval core introduced by Alparslan, Branzei and Tijs in 2008 for games where the worth of any coalition is a compact interval of the real line. Moreover, we introduce a balanced-like condition and prove that this condition is necessary but not sufficient to guarantee the F-core to be non-empty.