Affiliations: [a] Department of Mathematical Science, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, Malaysia
| [b] Department of Mathematics, Faculity of Education For Pure Sciences, University of Anbar, Ramadi, Anbar, Iraq
| [c] Preparatory Year Deanship, King Faisal University, Hofuf, Al-Ahsa, Saudi Arabia
Correspondence:
[*]
Corresponding author. Faisal Al-Sharqi, Department of Mathematical Sciences, Faculty of Science and Technology, Universiti Kebangsaan Malaysia, 43600 UKM Bangi Selangor DE, Malaysia. E-mails: [email protected]; [email protected].
Abstract: Interval complex neutrosophic soft sets (I-CNSSs) refers to interval neutrosophic soft sets (I-NSSs) featuring three two-dimensional independent membership functions accordingly (falsity, indeterminacy, as well as uncertainty interval). A relation is a tool that helps in describing consistency and agreement between objects. Throughout this paper, we insert and discuss the interval complex neutrosophic soft relation (simply denoted by I-CNSR), a novel soft computing technique used to examine the interaction degree among corresponding models known as I-CNSSs. We present the definition of the Cartesian product of I-CNSSs followed by the definition of I-CNSR. Furthermore, the definitions and some theorems and properties related to the composition, inverse, and complement of I-CNSR are provided. The notions of symmetric, reflexive, transitive, and equivalent of I-CNSRs are proposed, and the algebraic properties of these concepts are verified. Furthermore, we demonstrate the relevance of our notion to real-world situations by offering a suggested method for solving a decision-making issue in the field of economics. Ultimately, an analysis is made between the current relationships and the proposed model to determine the model’s significance.
