Decision Making Based on the Aggregation Operator and the Intuitionistic Fuzzy Reduction Method of Intuitionistic Fuzzy Parameterized Intuitionistic Fuzzy Soft Sets

In this paper, we introduce the aggregation operator of IFPIFS set and apply this operator in a hypothetical decision making problem involving attributes and parameters that are subjective in nature. Specifically, this operator is applied in a decision making problem involving the selection of the best candidate for a vacant position in an organization. Next, we introduce an algorithm called the intuitionistic fuzzy (IF) reduction method which involves the reduction of the original IFPIFS set into an IF set and subsequently a fuzzy set which would then be used to determine the optimal solution for the problem. We demonstrate the application of this algorithm in an object recognition problem which involves subjective and uncertain data.