Generation of interval-valued fuzzy implications from Kα operators

Authors:
Renata Hax Sander Reiser;Benjamín René Callejas Bedregal
Affiliations:
Centro de Desenvolvimento Tecnológico, Universidade Federal de Pelotas, Campus Capão do Leão, Brazil;Depto. de Informática e Matemática Aplicada, Universidade Federal do Rio Grande do Norte, Natal, Brazil
Venue:
WILF'11 Proceedings of the 9th international conference on Fuzzy logic and applications
Year:
2011

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Abstract

This paper introduces the interval-valued fuzzy implications generated from fuzzy implications and from Ka operators showing that such construction generalizes the canonical representation of fuzzy implications. In addition, we also analyzed their conjugate construction preserving their main properties.