A New Similarity Measure of Generalized Fuzzy numbers Based on Left and Right Apex Angles (II)

The similarity measure of fuzzy numbers is very important in many research fields such as pattern recognition [[5],[6]] and risk analysis in fuzzy environment [[1],[3],[15]]. Some methods have been presented to calculate the degree of similarity between fuzzy numbers [[1][4],[8],[15]]. In [16], Wen presented A modified similarity measure of generalized fuzzy numbers. Pandey et al.,[7] proposed a new aggregation operator for trapezoidal fuzzy numbers based on the arithmetic means of the left and right apex angles. Also, Rezvani[8] proposed a new similarity measure of generalized fuzzy numbers based on left and right apex angles I . In part I[8], calculated two fuzzy numbers on left and right apex angles in measure of generalized fuzzy numbers. As a continuation of the part I , we considered fuzzy numbers do separately on left and right apex angles. Means, in part I for example we have a = 1 n ∑n 1 bi − tan[ 1 n ∑n 1 tan (bi − ai)], but this paper we calculated a = b− tan(tan−1(b− a)).