About One Representation-Interpreter of a Monotone Measure
Keywords:fuzzy measure, classical measure, fuzzy measure representation–interpreter, Choquet integral, second-order capacity
We consider the problem of presenting a nonclassical measure (nonadditive, but monotonous), so-called fuzzy (monotone) measure, by a classical measure, particularly by the Murofushi–Sugeno-type new representation-interpreter. The theorems on the universal interpreter of a monotone (fuzzy) measure in the Choquet integral environment and second-order dual capacities are considered.
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