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	2020-09-17T06:35:26Z
dc.date.available	2020-09-17T06:35:26Z
dc.identifier.uri	http://hdl.handle.net/11201/153430
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.relation.isformatof	https://doi.org/10.3390/axioms9030078
dc.relation.ispartof	Axioms, 2020, vol. 9, num. 3(78), p. 1-20
dc.rights	, 2020
dc.subject.classification	51 - Matemàtiques
dc.subject.classification	004 - Informàtica
dc.subject.other	51 - Mathematics
dc.subject.other	004 - Computer Science and Technology. Computing. Data processing
dc.title	On t-Conorm Based Fuzzy (Pseudo)metrics
dc.type	info:eu-repo/semantics/article
dc.date.updated	2020-09-17T06:35:40Z
dc.rights.accessRights	info:eu-repo/semantics/openAccess
dc.identifier.doi	https://doi.org/10.3390/axioms9030078