M. yaghobi - MA degree, School of Mathematics , science and research university, Sari, Iran.
M. Rabbani - Academic member, Department of mathematics, Sari Branch, Islamic Azad University Sari, Iran.
M. Adabitabar Firozja - Academic member, Department of mathematics , Qaemshar Branch , Islamic Azad University , Qaemshahr , Iran.

Ranking fuzzy numbers play as a key tool in many applied models in the world and in particular decision-making procedures. we are going to present a new method based on the ranking the fuzzy number and real number. The problem of ranking the fuzzy number and real number is proposed with ranking function and then this approach to extend the ranking of two fuzzy numbers with ranking function. The proposed method is illustrated by some numerical examples and in particular the results of ranking by the proposed method and some common and existing methods for ranking fuzzy sets is compared to verify the advantage of the new approach. We will see that against of most existing ranking approaches where for two fuzzy sets are the exact ranking, our proposed approach can rank fuzzy numbers with acceptance rate smaller as fuzzy.

Keywords: Fuzzy numbers, Ranking