A NEW LEXIOGRAPHIC RANKING METHOD FOR TRIANGULAR INTUITIONISTIC FUZZY NUMBER BASED ON GERGONNE POINT

Fuzzy sets theory allows researchers to identify the uncertainties arisen from measurement error, vagueness and human thoughts. Fuzzy sets theory extended many types by many researchers. Intuitionistic fuzzy sets are one of these types.  There are two functions in intuitionistic fuzzy sets. These are membership function and non - membership function. The ranking of intuitionistic fuzzy numbers plays a main role in modeling many real life problems. Several methods for ranking intuitionistic fuzzy numbers have been well discussed in the literature. In a triangle, the lines from the vertices to the points of contact of the opposite sides with the inscribed circle meet at a point . That point is Gergonne point. In this paper, a new method based on Gergonne point is proposed to rank triangular intuitionistic fuzzy number. An illustrative example and comparison study is performed with the existing methods by using different triangular intuitionistic fuzzy numbers. The results are interpreted as a conclusion.