t-norms over fuzzy ideals (implicative, positive implicative) of BCK-algebras

Volume 4, Issue 2
Spring 2022
Pages 17-34

Document Type : Original Article

Author

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

Abstract
In this paper, we use the notion of t-norms to introduce fuzzy subalgebras, fuzzy ideals, fuzzy implicative ideals, fuzzy positive implicative ideals in BCK-algebras. Next, we clarify the links between them and investigate their properties. Finally, we consider them under intersection, cartesian product and homomorphisms(image and pre image) and we study related properties.

Keywords

  • Receive Date 17 October 2021
  • Revise Date 11 December 2021
  • Accept Date 12 December 2021