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On the Sheffer stroke operation in fuzzy logic

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dc.contributor.authorBaczynski, Michal
dc.contributor.authorBerruezo, Pedro
dc.contributor.authorHelbin, Piotr
dc.contributor.authorMassanet, Sebastia
dc.contributor.authorNiemyska, Wanda
dc.contributor.authorRuiz-Aguilera, Daniel
dc.date.accessioned2024-10-04T13:46:23Z
dc.date.available2024-10-04T13:46:23Z
dc.date.issued2022-03-15
dc.description.abstractFrom 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.en
dc.description.sponsorshipM. Baczynski and W. Niemyska were supported by the National Science Centre, Poland, under Grant No. 2015/19/B/ST6/03259. P. Berruezo, S. Massanet and D. Ruiz-Aguilera acknowledge the support provided by the Spanish Grant FEDER/Ministerio de Economia, Industria y Competitividad-AEI/TIN2016-75404-P.es_ES
dc.format.page110-128es_ES
dc.format.volume431es_ES
dc.identifier.citationBaczynski 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.en
dc.identifier.doi10.1016/j.fss.2021.05.003
dc.identifier.e-issn1872-6801es_ES
dc.identifier.issn0165-0114
dc.identifier.journalFuzzy Sets and Systemses_ES
dc.identifier.otherhttps://hdl.handle.net/20.500.13003/19727
dc.identifier.scopus2-s2.0-85107160111
dc.identifier.urihttps://hdl.handle.net/20.500.12105/23492
dc.identifier.wos759790100005
dc.language.isoengen
dc.publisherElsevier
dc.rights.accessRightsopen accessen
dc.rights.licenseAttribution-NonCommercial-NoDerivatives 4.0 International*
dc.rights.urihttp://creativecommons.org/licenses/by-nc-nd/4.0/*
dc.subjectSheffer stroke
dc.subjectFuzzy conjunction
dc.subjectT-norm
dc.subjectFuzzy implication function
dc.titleOn the Sheffer stroke operation in fuzzy logicen
dc.typeresearch articleen
dspace.entity.typePublication
relation.isPublisherOfPublication7d471502-7bd5-4f7a-90a4-8274382509ef
relation.isPublisherOfPublication.latestForDiscovery7d471502-7bd5-4f7a-90a4-8274382509ef

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