10.30495/maca.2022.1947637.1041

Intuitionistic fuzzy BCI-algebras (implicative ideals, closed implicative ideals, commutative ideals) under norms

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  • Rasul Rasuli1,
  1. Department of Mathematics, Payame Noor University (PNU), P.O. Box 19395-3697, Tehran, Iran

Published in Issue 2022-04-01

How to Cite

Intuitionistic fuzzy BCI-algebras (implicative ideals, closed implicative ideals, commutative ideals) under norms. (2022). Mathematical Analysis and Its Contemporary Applications, 4(3). https://doi.org/10.30495/maca.2022.1947637.1041

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Abstract

In this article, by using norms (T and C), we present the concept of intuitionistic fuzzy implicative ideals, intuitionistic fuzzy closed implicative ideals and intuitionistic fuzzy commutative ideals of BCI-algebras. Some interesting results of them are given. Characterisations of implicative ideals, closed implicative ideals and commutative ideals of BCI-algebras by using them are explored. By using intersections, direct products and homomorphisms, some interesting results are obtained.

Keywords

  • Algebra and orders,
  • theory of fuzzy sets,
  • intuitionistic fuzzy sets,
  • norms,
  • products and intersections,
  • homomorphisms
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