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The theme of this work is to investigate a new generalized parametric directed divergence measure for intuitionistic fuzzy sets. For it, the entire paper is divided into two folds. Firstly, a new measure has been presented by incorporating the idea of convex linear combinations of the degree of their membership functions. Some desirable properties of the proposed measure have been also investigated. Secondly, divergence measure based method for solving the decision making problem has been presented. A ranking of the different attributes is based on the proposed generalized divergence measure and the sensitivity analysis on the ranking of the system has been done based on the decision-making parameters. An illustrative examples have been studied to show that the proposed function is more reasonable in the decision-making process than other existing functions. 2010 AMS Classification: 28E10, 90C70, 94D05, 62P10

A novel generalized parametric directed divergence measure of intuitionistic fuzzy sets with its application