Affiliations: [a]
Department of Mathematics, Faculty of Education for Pure Sciences, University Of Anbar, Ramadi, Anbar, Iraq
| [b]
Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Mataram, Mataram, Indonesia
| [c]
Basic Sciences Department, Preparatory Year Deanship, King Faisal University, Al-Ahsa, Saudi Arabia
Correspondence:
[*]
Correspondence to: Mamika Ujianita Romdhini, Department of Mathematics, Faculty of Mathematics and Natural Science, Universitas Mataram, Mataram, 83125, Indonesia. E-mail: mamika@unram.ac.id.
Abstract: A Q-neutrosophic soft environment is an innovative hybrid tool that combines features of both a Q-neutrosophic set (Q-NS) and a parametric tool “soft set” (SS) in order to manage imprecise and indeterminate situations in various mathematical problems. In this article, we introduce a new algebraic approach called Q-neutrosophic soft matrices (Q-NSMs) to address the issues of two-dimensional (two variables) in a universal set by representing the concept of Q-neutrosophic soft sets (Q-NSSs) in matrices. On Q-NSMs, we define the fundamental set operations and some algebraic operations, i.e., complement, union, intersection, addition, subtraction, multiplication, and scalar multiplication, and prove related properties of these operations. Moreover, these operations are illustrated via several numerical examples. Then, two algorithms are proposed to tackle group decision making (GDM) problems: The first depends on the score function of Q-NSMs, and the second is based on the aggregation operator of Q-NSMs. Finally, this study is supported by a brief comparison with some relevant previous models.
Keywords: Group decision-making, neutrosophic set, Q-Neutrosophic soft set, Q-Neutrosophic soft matrix, soft set
