On Lower and Upper Approximation of Fuzzy Measures by �-Order Additive Measures

Abstract

We extend the result of Chateauneuf and Jaffray on upper and lower approximations of a fuzzy measure (capacity) by a probability measure to the case of -additive measures, i.e. capacities for which the Möbius transform vanishes for subsets of more than elements. A necessary condition is given, and the relation with the interaction index is given for 2… (More)

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