Bijective soft sets and their decision making methods

This thesis consists of four sections. In first and second sections, the literature and basic information about this work are presented. In third section, the bijective soft set and its operations are extensively reviewed. In addition, it is given a soft decision system created by employing these operations. In fourth section, the bijective soft matrices which are matrix representations of the bijective soft sets are defined. Some operations such as restricted-And product and relaxed-And product of these matrices are derived, and then their related properties and algebraic structures are investigated. Also, it is introduced the soft max-row function and the density measurement function of a soft matrix. With these functions, a soft decision system based on the bijective soft matrices is created. The concept of lingiustic set is given and then the linguistic-valued function is described. Lastly, using these concepts, a multi-bijective linguistic soft decision system is constructed and its application is given.