FUZZY MEASURES AND FUZZY INTEGRALS—A SURVEY

作者: M. Sugeno

DOI: 10.1016/B978-1-4832-1450-4.50027-4

关键词: Discrete mathematicsFuzzy setMembership functionMathematicsType-2 fuzzy sets and systemsFuzzy set operationsFuzzy measure theoryFuzzy logicCalculusFuzzy numberDefuzzification

摘要: As is well-known in recent years, there are two kinds of uncertainities, randomness and fuzziness, which can be both dealt with from a mathematical point view. We know the concept probabilities respect to also that fuzzy sets fuzziness. This fact tempts us discuss comparison probabilities. However, such direct must fail. The (precisely speaking, subsets an ordinary set) nothing but extended sets. have notice absolutely different To our problem detail, let consider for time being. There number interpretations probabilities: classical (originated by Laplace); measure theoretical (by Kolmogorov); subjective Bayesian statistics; as logics so on.

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