Neutrosophic Sets and Systems
Abstract
This study investigates the philosophical foundations of the neutrosophic set(NS), as rst proposed by Smarandache. It clari es the connection between single-valued Nss and their function as a specialized subset in the larger context of Nss, particularly in the elds of science and engineering. This paper investigates neutro sophic INK-ideals(NINK-Is) within INK-algebras(INK-A) by using the notion of translation, which is positioned as an extension of intuitionistic fuzzy sets. The notion of translation neutrosophic INK-algebras(NTINK-A) is introduced and their fundamental characteristics are explored. In addition, properties associated with the translation of INK-subalgebra(INK-Ss) and INK-ideals(INK-I) are investigated, along with the dynamics of their multiplications, unions, and intersections in the context of neutrosophic INK-ideals(NINK-I). Further def initions and theorems are added in the article, providing comprehensive insights complexities of NINK-A.
Recommended Citation
AL-Omeri, Wadei Faris; M Kaviyarasu; and M Rajeshwari. "Translation of Neutrosophic INK-Algebra." Neutrosophic Sets and Systems 66, 1 (2024). https://digitalrepository.unm.edu/nss_journal/vol66/iss1/8
