Picture fuzzy aggregation operators and their application to multiple attribute decision making

Article type: Research Article

Authors: Wei, Guiwu^{; *}

Affiliations: School of Business, Sichuan Normal University, Chengdu, P.R. China

Correspondence: [*] Corresponding author. G. Wei, School of Business, Sichuan Normal University, Chengdu 610101, P.R. China. Tel./Fax: +86 2884480719; E-mail: [email protected].

Abstract: In this paper, we investigate the multiple attribute decision making problems with picture fuzzy information. Then, we utilize arithmetic and geometric operations to develop some picture fuzzy aggregation operators: picture fuzzy weighted average (PFWA) operator, picture fuzzy weighted geometric (PFWG) operator, picture fuzzy ordered weighted average (PFOWA) operator, picture fuzzy ordered weighted geometric (PFOWG) operator, picture fuzzy hybrid average (PFHA) operator and picture fuzzy hybrid geometric (PFHG) operator. The prominent characteristic of these proposed operators are studied. Then, we have utilized these operators to develop some approaches to solve the picture fuzzy multiple attribute decision making problems. Finally, a practical example for enterprise resource planning (ERP) system selection is given to verify the developed approach and to demonstrate its practicality and effectiveness.

Keywords: Multiple attribute decision making, picture fuzzy set, picture fuzzy weighted average (PFWA) operator, picture fuzzy ordered weighted geometric (PFOWG) operator

DOI: 10.3233/JIFS-161798

Journal: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 2, pp. 713-724, 2017