On the law S ( S ( x , y ), T ( x , y )) = S ( x , y ) of fuzzy logic |
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| Authors: | Claudi Alsina and Enric Trillas |
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| Institution: | (1) S. Mathematics, ETSAB, UPC, Diagonal 649, 08028 Barcelona, Spain;(2) Edificio Cientifico-Tecnológico, c/ Gonzalo Gutiérrez Quiros s/n, 33600 Mieres, Spain |
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| Abstract: | Motivated by some functional models arising in fuzzy logic, when classical boolean relations between sets are generalized,
we study the functional equation S(S(x, y), T(x, y)) = S(x, y), where S is a continuous t-conorm and T is a continuous t-norm. Some interesting methods for solving this type of equations are introduced. |
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| Keywords: | Associative function t-norm t-conorm Fuzzy logic |
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