Some remarks on the characterization of idempotent uninorms

Authors:
Daniel Ruiz-Aguilera;Joan Torrens;Bernard De Baets;Janos Fodor
Affiliations:
University of the Balearic Islands, Palma de Mallorca, Spain;University of the Balearic Islands, Palma de Mallorca, Spain;Ghent University, Gent, Belgium;Óbuda University, Budapest, Hungary
Venue:
IPMU'10 Proceedings of the Computational intelligence for knowledge-based systems design, and 13th international conference on Information processing and management of uncertainty
Year:
2010

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Abstract

In this paper the characterization of idempotent uninorms given in [21] is revisited and some technical aspects are corrected. Examples clarifying the situation are given and the same characterization is translated in terms of symmetrical functions. The particular cases of left-continuity and right-continuity are studied retrieving the results in [7].