Graded Intuitionistic Fuzzy Convexity with Application to Fuzzy Decision Making

A new concept of graded convex intuitionistic fuzzy set is proposed and treated in the paper. It is an extension of convex intuitionistic fuzzy set in which two real numbers are taken as the degree to which an intuitionistic fuzzy set is convex, strictly convex, we define the notions of graded convex intuitionistic fuzzy set and graded strictly convex intuitionistic fuzzy set based on t-norms. Some graded properties are also presented. Finally, we discuss the applications of graded convex intuitionistic fuzzy sets to intuitionistic fuzzy decision making.

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