A Proposed Preference Index For Ranking Fuzzy Numbers Based On $alpha$-Optimistic Values

Abstract

In this paper, we propose a novel method for ranking a set of fuzzy numbers. In this method a preference index is proposed based on $alpha$-optimistic values of a fuzzy number. We propose a new ranking method by adopting a level of credit in the ordering procedure. Then, we investigate some desirable properties of the proposed ranking method.

Keywords

• $alpha$-Optimistic value
• Fuzzy ranking
• Preference index
• Roboustness