Intuitionistic Fuzzy Jensen-Renyi Divergence: Applications to Multiple-Attribute Decision Making

Vagueness in the scientific studies presents a challenging dimension. Intuitionistic fuzzy set theory has emerged as a tool for its characterization. There is need to associate measures which can measure vagueness and differences in the underlying characterizing IFSs. In the present paper we introduce an information theoretic divergence measure, called intuitionistic fuzzy Jensen-Renyi divergence. It is a difference measure in the setting of intuitionistic fuzzy set theory, involving parameters that provide flexibility and choice. The strength of the new measure lies in its properties and applications. An approach to multiple-attribute decision making based on intuitionistic fuzzy Jensen-Renyi divergence is proposed. A numerical example illustrates the application of the new measure and the role of various parameters therein to multiple-attribute decision making problem formulated in terms of intuitionistic fuzzy sets.