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Models for Multiple Attribute Decision Making with Interval-Valued Pythagorean Fuzzy Muirhead Mean Operators and Their Application to Green Suppliers Selection
Volume 30, Issue 1 (2019), pp. 153–186
Pub. online: 1 January 2019      Type: Research Article      Open accessOpen Access
Received
1 May 2018
Accepted
1 November 2018
Published
1 January 2019

Abstract

In this paper, we extend MM operator and dual MM (DMM) operator to process the interval-valued Pythagorean fuzzy numbers (IVPFNs) and then to solve the MADM problems. Firstly, we develop some interval-valued Pythagorean fuzzy Muirhead mean operators by extending MM and DMM operators to IVPFNs. Then, we prove some properties and discuss some special cases with respect to the parameter vector. Moreover, we present some new methods to deal with MADM problems with the IVPFNs based on the proposed MM and DMM operators. Finally, we verify the validity and reliability of our methods by using an application example for green supplier selections, and analyse the advantages of our methods by comparing it with other existing methods.

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Biographies

Tang Xiyue

X. Tang is a current master student with School of Business at Sichuan Normal University, Chengdu, 610101, China.

Wei Guiwu
weiguiwu@163.com

G. Wei has an MSc and a PhD degree in applied mathematics from SouthWest Petroleum University, business administration from school of Economics and Management at SouthWest Jiaotong University, China, respectively. From May 2010 to April 2012, he was a postdoctoral researcher with the School of Economics and Management, Tsinghua University, Beijing, China. He is a professor in the School of Business at Sichuan Normal University. He has published more than 100 papers in journals, books and conference proceedings including journals such as Omega, Decision Support Systems, Expert Systems with Applications, Applied Soft Computing, Knowledge and Information Systems, Computers & Industrial Engineering, Knowledge-Based Systems, International Journal of Intelligent Systems, International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems, International Journal of Computational Intelligence Systems, International Journal of Machine Learning and Cybernetics, Fundamenta Informaticae, Informatica, Kybernetes, International Journal of Knowledge-Based and Intelligent Engineering Systems and Information: An International Interdisciplinary Journal. He has published 1 book. He has participated in several scientific committees and serves as a reviewer in a wide range of journals including Computers & Industrial Engineering, International Journal of Information Technology and Decision Making, Knowledge-Based Systems, Information Sciences, International Journal of Computational Intelligence Systems and European Journal of Operational Research. He is currently interested in aggregation operators, decision making and computing with words.

Gao Hui

H. Gao has an MSc degree in management sciences and engineering from school of Economics and Management at University of Electronic Science and Technology of China, China. She is an associate professor in the School of Business at Sichuan Normal University.


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Keywords
multiple attribute decision making (MADM) Muirhead mean (MM) operator dual Muirhead mean (DMM) operator interval-valued Pythagorean fuzzy numbers (IVPFNs) interval-valued Pythagorean Fuzzy Muirhead mean (IVPFMM) operator interval-valued Pythagorean Fuzzy dual Muirhead mean (IVPFDMM) operator green suppliers selection

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