The method for ranking fuzzy numbers based on the approximate degree and the fuzziness

Authors:
Zhong-Xing Wang;Jian Li
Affiliations:
Department of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, China;Department of Mathematics and Information Science, Guangxi University, Nanning, Guangxi, China
Venue:
FSKD'09 Proceedings of the 6th international conference on Fuzzy systems and knowledge discovery - Volume 3
Year:
2009

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Abstract

In this paper, the interval positive ideal point and interval negative ideal point have been defined based on the possibilistic interval mean value of fuzzy numbers, the relative approximate dominance degree and fuzziness dominance degree of the fuzzy numbers have been defined based on distance formula of interval numbers and the fuzziness degree, with the composite of them, a new ranking method has been proposed. Finally, example is used to illustrate the advantage of the proposed method.