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On intuitionistic L-fuzzy PMS-ideals in PMS-algebras | ||
| Journal of Algebra and Related Topics | ||
| دوره 14، شماره 1، آبان 2026، صفحه 207-226 اصل مقاله (187.82 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22124/jart.2026.28223.1701 | ||
| نویسنده | ||
| B. L. Derseh* | ||
| Department of Mathematics, College of Natural and Computational Science, Debre Markos University, Debre Markos, Ethiopia | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| PMS-algebra؛ PMS-ideal؛ Intuitionistic L-fuzzy PMS-ideal؛ Homomorphism and Cartesian product | ||
| مراجع | ||
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