On decision making procedures constructed by using soft matrices

In this thesis, firstly, the concepts of soft set and soft matrix are reminded and general information about these concepts is presented. Also it is given the definition of inverse soft set and then its operations. A decision making model using these operations are applied to different types of decision problems. Afterwards, the concept of cardinality inverse soft matrix, which makes the structure of inverse soft set more practical and efficient, are defined. In order to these matrices, the operations, products and algebraic structures are researched. Also, in decision making with the soft matrix theory, a new model which can be used to find both the optimal choice and the ranking order of objects is proposed. Finally, the effectiveness and performance of this decision making model are illustrated by solving different multi-criteria decision making problems.