Some decision making methods obtained by using soft matrices and their applications

In this study, some new soft matrix operations such as the soft difference, soft restricted difference, soft extended difference and soft weak-extended difference are introduced. Several properties concerning these operations are taken up in detail. A novel decision making method called soft difference max-row decision making is created, and then its application is presented. Also, the generalized products of soft matrices are defined. By using these products, it is constructed a soft distributive max-min decision algorithm improving the max-min decision algorithm which is available in the literature. Later on, it is given the row-products of soft matrices and their related properties. By employing these row-products and generalized products, two new decision making methods called soft max-row decision making and multi-soft distributive max-min decision making are proposed. Finally, various examples are given to show how these methods are suitable for solving the decision making problems.