Unveiling an Innovative Approach to Q-Complex Neutrosophic Soft Rings

• Published in: International Journal of Neutrosophic Science
• Main Author: Romdhini M.U.; Al-Quran A.; Al-Sharqi F.; Hashim H.; Lutfi A.
• Format: Article
• Language: English
• Published: American Scientific Publishing Group (ASPG) 2023
• Online Access: https://www.scopus.com/inward/record.uri?eid=2-s2.0-85178449251&doi=10.54216%2fIJNS.220402&partnerID=40&md5=7480268596188eeb98f4d57ec81be6df

In this paper, our aim is to investigate the algebraic structures within the Q-complex neutrosophic soft model. We introduce two fundamental concepts: the Q-complex neutrosophic soft ring (Q-CNSR) and the Q-complex neutrosophic soft ideal (Q-CNSI). Q-CNSRs combine the properties of Q-complex neutrosophic soft sets (Q-CNSSs) with ring theory, effectively capturing uncertainty and indeterminacy present in ring operations through the incorporation of Q-complex neutrosophic membership values. Additionally, we define Q-CNSIs as subsets of Q-CNSRs that possess distinctive properties and hold significant roles in ring theory. Further-more, we discuss and verify the specific algebraic properties of Q-CNSR and Q-CNSI. By examining these properties, we gain a deeper understanding of the algebraic behavior of Q-CNSR and Q-CNSI. In particular, we shed light on the relationship between Q-CNSRs and soft rings. This provides insights into how Q-CNSR relates to the broader framework of soft ring, highlighting the unique features and contributions of Q-complex neutrosophic soft structures in the realm of algebraic analysis. We have also verified the relations between Q-CNSR and Q-neutrosophic soft ring (Q-NSR), as well as between Q-CNSI and Q-neutrosophic soft ideal (Q-NSI). Through this comprehensive exploration, our objective is to advance the understanding of Q-CNSR and Q-CNSI, thereby contributing to the field of algebraic analysis and its application in handling uncertainty and vagueness. © 2023, American Scientific Publishing Group (ASPG). All rights reserved.