On intuitionistic L-fuzzy PMS-ideals in PMS-algebras

Document Type : Research Paper

Author

Department of‎‎ Mathematics,‎ ‎College of Natural and Computational Science‎, ‎Debre Markos University‎,‎ Debre Markos‎, ‎Ethiopia

10.22124/jart.2026.28223.1701

Abstract

In this paper‎, ‎we apply the concept of an intuitionistic L-fuzzy set to PMS-ideals of PMS-algebras‎. ‎The notion of the intuitionistic L-fuzzy PMS-ideal of a PMS-algebra is introduced and several associated properties are investigated‎. ‎A condition for an intuitionistic L-fuzzy set in a PMS-algebra to be an intuitionistic L-fuzzy PMS-ideal is established‎. ‎Characterizations of intuitionistic L-fuzzy PMS-ideals of a PMS-algebra in terms of their level subsets are given‎. ‎The algebraic nature of intuitionistic L-fuzzy PMS-ideals of a PMS-algebra under homomorphism is discussed‎. ‎Moreover‎, ‎the Cartesian product of the intuitionistic L-fuzzy PMS-ideals of a PMS-algebra is also studied and some interesting results are obtained‎. ‎Finally‎, ‎the relationship between the strongest intuitionistic L-fuzzy relations in a PMS-algebra and intuitionistic L-fuzzy PMS-ideals of a PMS-algebra are explored.

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