Some 2-tuple linguistic neutrosophic number Muirhead mean operators and their applications to multiple attribute decision making

ABSTRACT

In this paper, we expand the Muirhead mean (MM) operator and dual MM (DMM) operator with 2-tuple linguistic neutrosophic numbers (2TLNNs) to propose the 2-tuple linguistic neutrosophic numbers MM (2TLNNMM) operator, 2-tuple linguistic neutrosophic numbers weighted MM (2TLNNWMM) operator, 2-tuple linguistic neutrosophic numbers DMM (2TLNNDMM) operator and 2-tuple linguistic neutrosophic numbers weighted DMM (2TLNNWDMM) operator. Then, the MADM methods are proposed with these two operators. Finally, an example for green supplier selection is used to show the proposed methods.

KEYWORDS:

• Multiple attribute decision making (MADM)
• neutrosophic numbers
• 2-tuple linguistic neutrosophic numbers set (2TLNNSs)
• 2TLNNMM operator
• 2TLNNDMM operator

Disclosure statement

No potential conflict of interest was reported by the authors.

Additional information

Funding

This publication arises from research funded by the National Natural Science Foundation of China under Grant Nos. 61174149 and 71571128 and the Humanities and Social Sciences Foundation of Ministry of Education of the People’s Republic of China (No. 16YJA630033) and the Construction Plan of Scientific Research Innovation Team for Colleges and Universities in Sichuan Province (15TD0004).