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