Application of Interval Valued Intuitionistic Fuzzy Soft Sets of Root Type in Decision Making

In this paper we introduce the concentration and dilation operators on interval valued intuitionistic fuzzy soft sets of ischolar_main type which is a generalization of fuzzy set, intuitionistic fuzzy set, interval valued intuitionistic fuzzy set and intuitionistic fuzzy set of ischolar_main type and establish some properties of these operators. We define Hamming distance between two interval valued intuitionistic fuzzy soft sets of ischolar_main type and it is shown that it is a metric. A similarity measure based on this Hamming distance is defined and some properties are established. We also develop a decision making method based on the similarity measure of Hamming distance between interval valued intuitionistic fuzzy soft sets of ischolar_main type. We develop an algorithm for the decision making problem and illustrate its working by means of examples.