2026-08-30T13:04:45Zhttps://repisalud.isciii.es/rest/oai/requestoai:repisalud.isciii.es:20.500.12105/234922024-11-28T19:33:38Zcom_20.500.12105_15322com_20.500.12105_2051col_20.500.12105_16967
Repisalud
author
Baczynski, Michal
author
Berruezo, Pedro
author
Helbin, Piotr
author
Massanet, Sebastia
author
Niemyska, Wanda
author
Ruiz-Aguilera, Daniel
2024-10-04T13:46:23Z
2024-10-04T13:46:23Z
2022-03-15
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
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.
eng
Sheffer stroke
Fuzzy conjunction
T-norm
Fuzzy implication function
On the Sheffer stroke operation in fuzzy logic
research article