Translation of Neutrosophic INK-Algebra

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.

DOI: 10.5281/zenodo.10905892