0000000001169960

AUTHOR

Oscar Valero

0000-0003-4710-1338

showing 1 related works from this author

On t-Conorm Based Fuzzy (Pseudo)metrics

2020

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-fu…

Theoretical computer scienceLogicComputer scienceMathematics::General MathematicsCB-fuzzy (pseudo)metric02 engineering and technology01 natural sciencesFuzzy logic0202 electrical engineering electronic engineering information engineeringCB-fuzzy (pseudo)metric; archimedian t-(co)norms; hamacher t-(co)norm; modular; modular metric; intuinionistic fuzzy metricsmodular0101 mathematicsMathematical PhysicsAlgebra and Number Theoryintuinionistic fuzzy metricslcsh:Mathematicslcsh:QA1-939010101 applied mathematicsNorm (mathematics)hamacher t-(co)normmodular metric020201 artificial intelligence & image processingGeometry and TopologyComputingMethodologies_GENERALarchimedian t-(co)normsAnalysisAxioms
researchProduct