A Promoter Operator for Defuzzification Methods

In this paper, we first present an expansion of our previous work on fuzzy ranking ( Mag  method). The extended approach can rank all normal and non-normal fuzzy numbers. Since we loose some information in many defuzzification methods, the obtained results are inaccurate and may be unreasonable. Therefore, in order to increase the ability of the defuzzification methods we also construct an operator so called promoter operator. It is based on the ambiguity of fuzzy numbers. Particularly, capability of the operator is considerable when two fuzzy numbers have identical centroid points or much more while they have the same ranking order. Additionally, a number of numerical examples illustrate the novel ranking approaches and the ability of promoter operator.

Defuzzification; Magnitude of fuzzy numbers; Promoter operator; Ranking; Trapezoidal fuzzy numbers