Preserving T-transitivity

Mayor, Gaspar; Recasens Ferrés, Jorge

doi:10.3233/978-1-61499-696-5-79

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Mayor, Gaspar

Recasens Ferrés, Jorge

Document typeConference report

Defense date2016

PublisherIOS Press

Rights accessOpen Access

All rights reserved. This work is protected by the corresponding intellectual and industrial property rights. Without prejudice to any existing legal exemptions, reproduction, distribution, public communication or transformation of this work are prohibited without permission of the copyright holder

Abstract

This contribution deals with the problem of aggregating T-equivalence relations, in the sense that we are looking for functions that preserve reflexivity, symmetry and transitivity with respect to a given t-norm T. Under any extra condition on the t-norm, we obtain a complete description of those functions in terms of that we call T-triangular triplets.

CitationMayor, G., Recasens, J. Preserving T-transitivity. A: International Conference of the Catalan Association for Artificial Intelligence. "Artificial Intelligence Research and Development: proceedings of the 19th International Conference of the Catalan Association for Artificial Intelligence, Barcelona, Catalonia, Spain, October 19-21, 2016". Barcelona: IOS Press, 2016, p. 79-87.

URIhttp://hdl.handle.net/2117/112611

DOI10.3233/978-1-61499-696-5-79

ISBN978-1-61499-696-5

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