Multiple attribute decision making based on Muirhead mean operators with 2-tuple linguistic Pythagorean fuzzy information

Abstract

This paper extends the Muirhead Mean (MM) operator and Dual MM (DMM) operator with 2-Tuple Linguistic Pythagorean Fuzzy Numbers (2TLPFNs) to define the 2-Tuple Linguistic Pythagorean Fuzzy MM (2TLPFMM) operator, 2-Tuple Linguistic Pythagorean Fuzzy Weighted MM (2TLPFWMM) operator, 2-Tuple Linguistic Pythagorean Fuzzy DMM (2TLPFDMM) operator, and 2-Tuple Linguistic Pythagorean Fuzzy Weighted DMM (2TLPFNWDMM) operator. Based on the proposed operators, two methods are developed to deal with the Multiple Attribute Decision Making (MADM) problems with 2TLPFNs and the validity and advantages of the proposed method are analyzed by comparison with some existing approaches. The methods proposed in this paper can effectively handle the MADM problems with 2TLPFNs. Finally, an example of green supplier selection is given to illustrate the viability of the proposed methods.