Transitive closure and betweenness relations

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To access the full text documents, please follow this link: http://hdl.handle.net/2117/19171

dc.contributor	Universitat Politècnica de Catalunya. Departament d'Estructures a l'Arquitectura
dc.contributor	Universitat Politècnica de Catalunya. FIA - Modelització Matemàtica Funcional i Aplicacions
dc.contributor.author	Boixader Ibáñez, Dionís
dc.contributor.author	Jacas Moral, Juan
dc.contributor.author	Recasens Ferrés, Jorge
dc.date	2001-06
dc.identifier.citation	Boixader, D.; Jacas, J.; Recasens, J. Transitive closure and betweenness relations. "Fuzzy sets and systems", Juny 2001, vol. 120, núm. 3, p. 415-422.
dc.identifier.citation	0165-0114
dc.identifier.citation	10.1016/S0165-0114(99)00133-5
dc.identifier.uri	http://hdl.handle.net/2117/19171
dc.language.iso	eng
dc.relation	http://www.journals.elsevier.com/fuzzy-sets-and-systems
dc.rights	info:eu-repo/semantics/openAccess
dc.subject	Àrees temàtiques de la UPC::Arquitectura::Projectes arquitectònics
dc.subject	Fuzzy sets
dc.subject	Indistinguishability
dc.subject	Dimension
dc.subject	Archimedean t-norm
dc.subject	Lògica difusa
dc.title	Transitive closure and betweenness relations
dc.type	info:eu-repo/semantics/publishedVersion
dc.type	info:eu-repo/semantics/article
dc.description.abstract	Indistinguishability operators fuzzify the concept of equivalence relation and have been proved a useful tool in theoretical studies as well as in di0erent applications such as fuzzy control or approximate reasoning. One interesting problem is their construction. There are di0erent ways depending on how the data are given and on their future use. In this paper, the length of an indistinguishability operator is de2ned and it is used to relate its generation via max-T product and via the representation theorem when T is an Archimedean t-norm. The link is obtained taking into account that indistinguishability operators generate betweenness relations. The study is also extended to decomposable operators.
dc.description.abstract	Peer Reviewed

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