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oai:repisalud.isciii.es:20.500.12105/234922024-11-28T19:33:38Zcom_20.500.12105_15322com_20.500.12105_2051col_20.500.12105_16967

00925njm 22002777a 4500 dc Baczynski, Michal author Berruezo, Pedro author Helbin, Piotr author Massanet, Sebastia author Niemyska, Wanda author Ruiz-Aguilera, Daniel author 2022-03-15 From the beginnings of fuzzy logic, the Sheffer stroke operation has been overlooked and the efforts of the researchers have been devoted to other logical connectives. In this paper, the Sheffer stroke operation is introduced in fuzzy logic generalizing the classical operation when the truth values are restricted to {0, 1}(2). Similar to what happens in Boolean logic, the fuzzy Sheffer stroke is functionally complete and it can be used to generate any other fuzzy logical connective by combinations of itself. Two construction methods are presented and the close connection of this operation with a pair of fuzzy conjunction and negation is analysed. Baczynski M, Berruezo P, Helbin P, Massanet S, Niemyska W, Ruiz-Aguilera D. On the Sheffer stroke operation in fuzzy logic. Fuzzy Sets Syst. 2022 Mar 15;431:110-28. 10.1016/j.fss.2021.05.003 1872-6801 0165-0114 Fuzzy Sets and Systems https://hdl.handle.net/20.500.13003/19727 2-s2.0-85107160111 https://hdl.handle.net/20.500.12105/23492 759790100005 Sheffer stroke Fuzzy conjunction T-norm Fuzzy implication function On the Sheffer stroke operation in fuzzy logic