Publication: Weightable quasi-metrics related to fuzzy sets
Consultable a partir de
Date
2018
Authors
Director
Publisher
Hacettepe University (Turquía)
Acceso abierto / Sarbide irekia
Artículo / Artikulua
Versión publicada / Argitaratu den bertsioa
Project identifier
ES/1PE/TIN2013-47605-P
MINECO//TIN2014-56381-REDT/ES/
MINECO//ECO2015-65031-R/ES/
MINECO//MTM2015-63608-P/ES/
ES/1PE/TIN2016-81731
ES/1PE/TIN2016-77356-P
MINECO//TIN2014-56381-REDT/ES/
MINECO//ECO2015-65031-R/ES/
MINECO//MTM2015-63608-P/ES/
ES/1PE/TIN2016-81731
ES/1PE/TIN2016-77356-P
Abstract
We show that the definition of a fuzzy set is directly related to the existence of a weightable quasi-metric on a universe. This relationship is also explored in terms of functional equations coming either from the membership function of a fuzzy set or from the disymmetry function of a quasi-metric.
Keywords
Functional equations, Fuzzy sets, Representable total preorders, Weightable quasi-metrics
Department
Matematika / Institute for Advanced Materials and Mathematics - INAMAT2 / Institute for Advanced Research in Business and Economics - INARBE / Matemáticas
Faculty/School
Degree
Doctorate program
Editor version
Funding entities
This work has been partially supported by the research projects TIN2013-47605-P, TIN2014-56381-REDT, ECO2015-65031-R, MTM2015-63608-P (MINECO/ AEI-FEDER, UE), TIN2016-81731-REDT, TIN2016-77356-P (MINECO/ AEI-FEDER, UE) and the Research Services of the Public University of Navarre (Spain).
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