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On the law S(S(x, y), T(x, y)) = S(x, y) of fuzzy logic

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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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Correspondence to Claudi Alsina.

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Alsina, C., Trillas, E. On the law S(S(x, y), T(x, y)) = S(x, y) of fuzzy logic. Fuzzy Optim Decis Making 6, 99–107 (2007). https://doi.org/10.1007/s10700-007-9006-x

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