Approximation of proximities by aggregating T-indistinguishability operators

Garmendia, L.; Recasens, J.

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Garmendia, L.

Recasens, J.

Document typeArticle

Defense date2007

PublisherUniversitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica

Rights accessOpen Access

Abstract

For a continuous Archimedean t-norm T a method to approximate a proximity relation R (i.e. a reflexive and symmetric fuzzy relation) by a T-transitive one is provided. It consists of aggregating the transitive closure R of R with a (maximal) T-transitive relation B contained in R using a suitable weighted quasi-arithmetic mean to maximize the similarity or minimize the distance to R.

CitationGarmendia, L.; Recasens, J. Approximation of proximities by aggregating T-indistinguishability operators. "Mathware & Soft Computing", 2007, vol. 14, núm. 3, p. 171-181.

URIhttp://hdl.handle.net/2099/10936

ISSN1134-5632