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Approximation of proximities by aggregating T-indistinguishability operators

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Garmendia, L.
Recasens, J.
Document typeArticle
Defense date2007
PublisherUniversitat Politècnica de Catalunya. Secció de Matemàtiques i Informàtica
Rights accessOpen Access
Attribution-NonCommercial-NoDerivs 3.0 Spain
This work is protected by the corresponding intellectual and industrial property rights. Except where otherwise noted, its contents are licensed under a Creative Commons license : Attribution-NonCommercial-NoDerivs 3.0 Spain
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
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  • Mathware & soft computing - 2007, Vol. XIV, núm. 3 [6]
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