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

Famous quotes containing the words fuzzy, measure and/or theory:

    Even their song is not a sure thing.
    It is not a language;
    it is a kind of breathing.
    They are two asthmatics
    whose breath sobs in and out
    through a small fuzzy pipe.
    Anne Sexton (1928–1974)

    I candidly confess that I have ever looked on Cuba as the most interesting addition which could ever be made to our system of States. The control which, with Florida, this island would give us over the Gulf of Mexico, and the countries and isthmus bordering on it, as well as all those whose waters flow into it, would fill up the measure of our political well-being.
    Thomas Jefferson (1743–1826)

    Freud was a hero. He descended to the “Underworld” and met there stark terrors. He carried with him his theory as a Medusa’s head which turned these terrors to stone.
    —R.D. (Ronald David)