Shams, M., Hesamian, G. (2019). A Proposed Preference Index For Ranking Fuzzy Numbers Based On $\alpha$-Optimistic Values. Sahand Communications in Mathematical Analysis, 15(1), 189-201. doi: 10.22130/scma.2018.73477.303

Mehdi Shams; Gholamreza Hesamian. "A Proposed Preference Index For Ranking Fuzzy Numbers Based On $\alpha$-Optimistic Values". Sahand Communications in Mathematical Analysis, 15, 1, 2019, 189-201. doi: 10.22130/scma.2018.73477.303

Shams, M., Hesamian, G. (2019). 'A Proposed Preference Index For Ranking Fuzzy Numbers Based On $\alpha$-Optimistic Values', Sahand Communications in Mathematical Analysis, 15(1), pp. 189-201. doi: 10.22130/scma.2018.73477.303

Shams, M., Hesamian, G. A Proposed Preference Index For Ranking Fuzzy Numbers Based On $\alpha$-Optimistic Values. Sahand Communications in Mathematical Analysis, 2019; 15(1): 189-201. doi: 10.22130/scma.2018.73477.303

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

^{1}Department of Statistics, School of Mathematics, University of Kashan, Kashan,Iran.

^{2}Department of Mathematical Sciences, Payame Noor University, Tehran, Iran.

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.

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