Interval Additive Generators of Interval T-Norms

Authors:
G. P. Dimuro;B. C. Bedregal;R. H. Reiser;R. H. Santiago
Affiliations:
Programa de Pós-Graduação em Informática, Universidade Católica de Pelotas, Pelotas, Brazil 96010-000;Depto de Informática e Matemática Aplicada, Universidade Federal do Rio Grande do Norte, Natal, Brazil 59072-970;Programa de Pós-Graduação em Informática, Universidade Católica de Pelotas, Pelotas, Brazil 96010-000;Depto de Informática e Matemática Aplicada, Universidade Federal do Rio Grande do Norte, Natal, Brazil 59072-970
Venue:
WoLLIC '08 Proceedings of the 15th international workshop on Logic, Language, Information and Computation
Year:
2008

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Abstract

The aim of this paper is to introduce the notion of interval additive generators of interval t-norms as interval representations of additive generators of t-norms, considering both the correctness and the optimality criteria, in order to provide a more systematic methodology for the selection of interval t-norms in the various applications. We prove that interval additive generators satisfy the main properties of punctual additive generators discussed in the literature.