Interval valued fuzzy coimplication

Authors:
Renata H. S. Reiser;Benjamin C. Bedregal;Gesner A. A. dos Reis
Affiliations:
Programa de Pós-Graduação em Informática, Universidade Católica de Pelotas, Pelotas, Brazil;Depto de Informática e Matemática Aplicada, Universidade Federal do Rio Grande do Norte, Natal, Brazil;Programa de Pós-Graduação em Informática, Universidade Católica de Pelotas, Pelotas, Brazil
Venue:
WoLLIC'10 Proceedings of the 17th international conference on Logic, language, information and computation
Year:
2010

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Abstract

The aim of this paper is to introduce the dual notion of interval implications, the interval coimplications, as interval representations of fuzzy coim-plications. Using the canonical representation, this paper considers both the correctness and the optimality criteria, in order to provide interpretation for fuzzy coimplications as the non-truth degree of conditional rule in expert systems. It is proved that N-dual interval coimplications satisfy the main properties of interval implications discussed in the literature. Lastly, border and model interval fuzzy coimplications are also considered.