International Journal of Computational Intelligence Systems (May 2023)

On Intuitionistic Fuzzy PMS-Ideals of a PMS-Algebra Under Homomorphism and Cartesian Product

  • Berhanu Assaye Alaba,
  • Beza Lamesgin Derseh,
  • Yohannes Gedamu Wondifraw

DOI
https://doi.org/10.1007/s44196-023-00242-5
Journal volume & issue
Vol. 16, no. 1
pp. 1 – 13

Abstract

Read online

Abstract In this paper, we use the concept of an intuitionistic fuzzy set to PMS-ideals in PMS-algebras. We discuss the notion of intuitionistic fuzzy PMS-ideals under homomorphism and Cartesian product and investigate several related properties. The homomorphism of an intuitionistic fuzzy PMS-ideal of a PMS-algebra is studied, and its homomorphic image and inverse image are investigated. The Cartesian product of any two intuitionistic fuzzy PMS-ideals is discussed, and some related results are obtained. The Cartesian product of the intuitionistic fuzzy PMS-ideals is characterized in terms of their level sets. Finally, we discuss the concept of the strongest intuitionistic fuzzy relations on an intuitionistic fuzzy PMS-ideal of a PMS-algebra and investigate the relationships between the strongest intuitionistic fuzzy relations and the intuitionistic fuzzy PMS-ideals.

Keywords