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Associative monotonic operations in fuzzy set theory
Authors:Ernest Czogała  Józef Drewniak
Affiliation:Silesian Technical University, Dpt. of Automatic Control and Computer Science, 44-100 Gliwice, ul. Pstrowskiego 16, Poland;Silesian University, Dpt. of Mathematics, 40-007 Katowice, ul. Bankowa 14, Poland
Abstract:The properties of binary operations in a real interval are considered and used in the discussion of generalized operations on fuzzy sets, on fuzzy numbers and on fuzzy probabilistic sets.
Keywords:Binary operation  Isomorphism  Fuzzy set  Fuzzy number  Random variable  Fuzzy probabilistic set
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