Fuzzy Measure Theory

In mathematics, fuzzy measure theory considers a number of special classes of measures, each of which is characterized by a special property. Some of the measures used in this theory are plausibility and belief measures, fuzzy set membership function and the classical probability measures. In the fuzzy measure theory, the conditions are precise, but the information about an element alone is insufficient to determine which special classes of measure should be used. The central concept of fuzzy measure theory is the fuzzy measure (also capacity, see ) which was introduced by Choquet in 1953 and independently defined by Sugeno in 1974 in the context of fuzzy integrals.

Read more about Fuzzy Measure Theory:  Axioms, Properties of Fuzzy Measures, Möbius Representation, Simplification Assumptions For Fuzzy Measures, Shapley and Interaction Indices

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