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

Volume 4, Issue 3
Spring 2022
Pages 17-34

Document Type : Original Article

Author

Department of Mathematics, Payame Noor University, Tehran, Iran.

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

  • Receive Date 19 December 2021
  • Revise Date 08 January 2022
  • Accept Date 14 January 2022