Operations on vague soft matrices and its applications in decision making

Abstract

In this paper, we introduce the notion of vague soft matrix to represent vague soft sets in matrix form. By using this representation it is easy to store and manipulate vague soft sets in a computer. We then define basic operations like union, intersection, complement and product of vague soft matrices and their properties. Using vague soft product, we define the score matrix of two vague soft sets which will be useful in decision making problems. At the end, we provide a decision making algorithm using vague soft matrices and applied it for two real life problems.