Publication: Binary relations coming from solutions of functional equations: orderings and fuzzy subsets
Consultable a partir de
Date
Director
Publisher
Abstract
We analyze the main properties of binary relations, defined on a nonempty set, that arise in a natural way when dealing with real-valued functions that satisfy certain classical functional equations on two variables. We also consider the converse setting, namely, given binary relations that accomplish some typical properties, we study whether or not they come from solutions of some functional equation. Applications to the numerical representability theory of ordered structures are also furnished as a by-product. Further interpretations of this approach as well as possible generalizations to the fuzzy setting are also commented. In particular, we discuss how the values taken for bivariate functions that are bounded solutions of some classical functional equations define, in a natural way, fuzzy binary relations on a set.
Description
Keywords
Department
Faculty/School
Degree
Doctorate program
item.page.cita
item.page.rights
© World Scientific Publishing Company
Collections
Artículos de revista - Aldizkari artikuluak
Artículos de revista DM - MS Aldizkari artikuluak
Artículos de revista INAMAT2 - INAMAT2 aldizkari artikuluak
Artículos de revista INARBE - INARBE aldizkari artikuluak
Artículos de revista ISC - ISC aldizkari artikuluak
Los documentos de Academica-e están protegidos por derechos de autor con todos los derechos reservados, a no ser que se indique lo contrario.