Interpretation of Neutrosophic Soft cubic T-ideal in the Environment of PS-Algebra

Download or read book Interpretation of Neutrosophic Soft cubic T-ideal in the Environment of PS-Algebra written by Neha Andaleeb Khalid and published by Infinite Study. This book was released on 2023-01-01 with total page 21 pages. Available in PDF, EPUB and Kindle. Book excerpt: This study provides an innovative approach to neutrosophic algebraic structures by introducing a new structure called Neutrosophic Soft Cubic T-ideal (NSCTID), which combines T-ideal (TID) and neutrosophic Soft Cubic Sets (NSCSs) within the framework of PS-Algebra. Within the already-existing neutrosophic cubic structures, the addition of soft sets with the characteristics of TID makes this structure more desirable. The theoretical development of the proposed structure includes the application of fundamental ideas as union, intersection, the Cartesian product, and homomorphism. We also introduce the notions of NSCTID-translation and NSCTID-multiplication to further enhance the structure of NSCTID. By applying the idea of translation and multiplication, we offer improved algorithm for neutrosophic cubic sets to deal with different parameters that are satisying the TID’s distinctive characteristics. Through this thorough research, we offer an elementary understanding of NSCTID and its capabilities, providing the way to new algebraic structures.