Abstract

Shadow soft set is a new concept defined as a new tool with uncertainty where the values of membership taken from 0, 1 and [0,1]. In this thesis as a generalization of shadow soft set we introduce a new concept which is an Intuitionistic possibility shadow soft set and study its properties. Furthermore, some examples of Intuitionistic possibility shadow soft set and its properties are presented. We also introduce some of the operations of this concept and give some results related to these operations. Finally, the definitions of (AND) and (OR) operations are given and the properties of these operations in their application to decision-making problems are shown.