Picture Fuzzy Hamacher 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, 610101, P.R. China. weiguiwu@163.com

Correspondence: [*] Address for correspondence: School of Business, Sichuan Normal University, Chengdu, 610101, P.R. China.

Abstract: In this paper, we investigate the multiple attribute decision making (MADM) problem based on the arithmetic, geometric aggregation operators and Hamacher operations with picture fuzzy information. Then, motivated by the ideal of traditional arithmetic, geometric aggregation operators and Hamacher operations, we have developed some aggregation operators for aggregating picture fuzzy information: picture fuzzy Hamacher aggregation operators, picture fuzzy Hamacher geometric aggregation operators, picture fuzzy Hamacher correlated aggregation operators, induced picture fuzzy Hamacher aggregation operators, induced picture fuzzy Hamacher correlated aggregation operators, picture fuzzy Hamacher prioritized aggregation operators, picture fuzzy Hamacher power aggregation operators. 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 Hamacher aggregation operators, picture fuzzy Hamacher geometric aggregation operators, prioritized aggregation, power aggregation

DOI: 10.3233/FI-2018-1628

Journal: Fundamenta Informaticae, vol. 157, no. 3, pp. 271-320, 2018