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A method to multi-attribute decision making with picture fuzzy information based on Muirhead mean

Xu, Y., Shang, X., Wang, J., Zhang, R., Li, W. and Xing, Y. (2018) A method to multi-attribute decision making with picture fuzzy information based on Muirhead mean. Journal of Intelligent and Fuzzy Systems. ISSN 1064-1246

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To link to this item DOI: 10.3233/JIFS-172130

Abstract/Summary

The recently proposed picture fuzzy set (PFS) is a powerful tool for handling fuzziness and uncertainty. PFS is character-ized by a positive membership degree, a neutral membership degree, and a negative membership degree, making it more suitable and useful than the intuitionistic fuzzy set (IFS) when dealing with multi-attribute decision making (MADM). The aim of this paper is to develop some aggregation operators for fusing picture fuzzy information. Considering the Muirhead mean (MM) is an aggregation technology which can consider the interrelationship among all aggregated ar-guments, we extend MM to picture fuzzy context and propose a family of picture fuzzy Muirhead mean operators. In addition, we investigate some properties and special cases of the proposed operators. Further, we develop a novel meth-od to MADM in which the attribute values take the form of picture fuzzy numbers (PFNs). Finally, a numerical example is provided to illustrate the validity of the proposed method.

Item Type:Article
Refereed:Yes
Divisions:Henley Business School > Business Informatics, Systems and Accounting
ID Code:78223
Publisher:IOS Press

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