Hesitant pythagorean fuzzy hamacher aggregation operators and their application to multiple attribute decision making

Article type: Research Article

Authors: Lu, Mao^a | Wei, Guiwu^{a; b; *} | Alsaadi, Fuad E.^b | Hayat, Tasawar^{c; d} | Alsaedi, Ahmed^d

Affiliations: [a] School of Business, Sichuan Normal University, Chengdu, P.R. China | [b] Communications Systems and Networks (CSN) Research Group, Department of Electrical and Computer Engineering, Faculty of Engineering, King Abdulaziz University, Jeddah, Saudi Arabia | [c] Department of Mathematics, Quaid-I-Azam University, Islamabad, Pakistan | [d] Nonlinear Analysis and Applied Mathematics (NAAM) Research Group, Department of Mathematics, Faculty of Science, King Abdulaziz University, Jeddah, Saudi Arabia

Correspondence: [*] Corresponding author. Guiwu Wei. Tel./Fax: +86 2884480714; E-mail: weiguiwu@163.com.

Abstract: This article has been retracted, and the online PDF replaced with this retraction notice.

Keywords: Multiple attribute decision making (MADM), hesitant Pythagorean fuzzy values, Hamacher aggregation operators, hesitant Pythagorean fuzzy Hamacher hybrid average (HPFHHA) operator, hesitant Pythagorean fuzzy Hamacher hybrid geometric (HPFHHG) operator

DOI: 10.3233/JIFS-16554

Journal: Journal of Intelligent & Fuzzy Systems, vol. 33, no. 2, pp. 1105-1117, 2017