On t-Conorm Based Fuzzy (Pseudo)metrics

Grigorenko, O.; Miñana, J.J.; Sostak, A.; Valero, O.

dc.contributor.author	Grigorenko, O.
dc.contributor.author	Miñana, J.J.
dc.contributor.author	Sostak, A.
dc.contributor.author	Valero, O.
dc.date.accessioned	2025-01-25T11:17:32Z
dc.date.available	2025-01-25T11:17:32Z
dc.date.issued	2025-01-25
dc.identifier.citation	Grigorenko, O., Miñana, J.J., Sostak, A., Valero, O. (2020). On t-Conorm Based Fuzzy (Pseudo)metrics. Axioms, 9(3, 78), 1-20
dc.identifier.uri	http://hdl.handle.net/11201/167917
dc.description.abstract	[eng] We present an alternative approach to the concept of a fuzzy (pseudo)metric using t-conorms instead of t-norms and call them t-conorm based fuzzy (pseudo)metrics or just CB-fuzzy (pseudo)metrics. We develop the basics of the theory of CB-fuzzy (pseudo)metrics and compare them with “classic” fuzzy (pseudo)metrics. A method for construction CB-fuzzy (pseudo)metrics from ordinary metrics is elaborated and topology induced by CB-fuzzy (pseudo)metrics is studied. We establish interrelations between CB-fuzzy metrics and modulars, and in the process of this study, a particular role of Hamacher t-(co)norm in the theory of (CB)-fuzzy metrics is revealed. Finally, an intuitionistic version of a CB-fuzzy metric is introduced and applied in order to emphasize the roles of t-norms and a t-conorm in this context.
dc.format	Application/pdf
dc.format.extent	1-20
dc.publisher	MDPI
dc.relation.ispartof	Axioms, 2020, vol. 9, num. 3, 78, p. 1-20
dc.rights	Attribution 4.0 International
dc.rights.uri	https://creativecommons.org/licenses/by/4.0/
dc.subject	51 - Matemàtiques	ca
dc.subject.other	CB-fuzzy (pseudo)metric	ca
dc.subject.other	Archimedian t-(co)norms	ca
dc.subject.other	Hamacher t-(co)norm	ca
dc.subject.other	Modular	ca
dc.subject.other	Modular metric	ca
dc.subject.other	Intuinionistic fuzzy metrics	ca
dc.title	On t-Conorm Based Fuzzy (Pseudo)metrics	ca
dc.type	Article
dc.type	info:eu-repo/semantics/article
dc.type	info:eu-repo/semantics/publishedVersion
dc.rights.accessRights	info:eu-repo/semantics/openAccess
dc.identifier.doi	https://doi.org/10.3390/axioms9030078	ca