Author/Authors :
R. Ezzati، R. Ezzati نويسنده R. Ezzati, R. Ezzati , Koochakpoor، Y. نويسنده Department of Mathematics, Islamic Azad University, Karaj Branch, Karaj, Iran , , Goodarzi، N. نويسنده , , Maghasedi، M. نويسنده Islamic Azad University,Karaj Branch, Iran. ,
Abstract :
In this paper, we present a new approach to obtain trapezoidal approximation of fuzzy numbers with respect to weighted distance proposed by Nasibov [5] which the main property of this metric is flexibility in the decision makerʹs choice. Also, we prove some properties of the proposed method such as translation invariance, scale invariance and identity. Finally, we illustrate the efficiency of proposed method by solving some numerical examples.