Operations on fuzzy numbers

作者: DIDIER DUBOIS , HENRI PRADE

DOI: 10.1080/00207727808941724

关键词: Fuzzy mathematicsData miningFuzzy setFuzzy classificationMembership functionType-2 fuzzy sets and systemsMathematicsDefuzzificationFuzzy numberArithmeticFuzzy set operations

摘要: A fuzzy number is a subset of the real line whose highest membership values are clustered around given called mean value ; function monotonia on both sides this value. In paper, usual algebraic operations numbers extended to by use fuzzification principle. The practical fuzzified shown be easy, requiring no more computation than when dealing with error intervals in classic tolerance analysis. field applications approach seems large, since it allows many known algorithms fitted data.

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