On interval fuzzy residuated implications and interval quasi-implications

  • Authors:
  • Xiaohong Zhang

  • Affiliations:
  • Department of Mathematics, Ningbo University, Ningbo, Zhejiang Province, P.R. China

  • Venue:
  • FSKD'09 Proceedings of the 6th international conference on Fuzzy systems and knowledge discovery - Volume 7
  • Year:
  • 2009

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Abstract

A mistake on interval fuzzy residuated implications is pointed out by a counterexample, and a modified theorem is proved. The relationship between interval set t-norm and interval t-norm is investigated. Moreover, the notions of quasi-residuated lattice and interval quasi-implication are introduced, and some basic properties are examined.