Abstract
In this article, we expand the Muirhead mean (MM) operator and dual Muirhead mean (DMM) operator with single-valued neutrosophic 2-tuple linguistic numbers (SVN2TLNs) to propose the single-valued neutrosophic 2-tuple linguistic Muirhead mean (SVN2TLMM) operator, the single-valued neutrosophic 2-tuple linguistic weighted Muirhead mean (SVN2TLWMM) operator, the single-valued neutrosophic 2-tuple linguistic dual Muirhead mean (SVN2TLDMM) operator, and the single-valued neutrosophic 2-tuple linguistic weighted dual Muirhead mean (SVN2TLWDMM) operator. Multiple attribute decision making (MADM) methods are then proposed using these operators. Finally, we utilize an applicable example for green supplier selection in green supply chain management to prove the proposed methods.
Highlights
In order to effectively depict the fuzziness and uncertainty information in real multiple attribute decision making (MADM) problems, Smarandache [1,2] proposed the use of neutrosophic sets (NSs), which have attracted the attention of many scholars
Wang et al [6,7] proposed the use of a single-valued neutrosophic set (SVNS) and an interval neutrosophic set (INS), which can include much more information than fuzzy sets, intuitionistic fuzzy set (IFS), and interval-valued neutrosophic fuzzy set (IVIFS)
We investigated Multiple attribute decision making (MADM) problems with SVN2TLNs
Summary
In order to effectively depict the fuzziness and uncertainty information in real multiple attribute decision making (MADM) problems, Smarandache [1,2] proposed the use of neutrosophic sets (NSs), which have attracted the attention of many scholars. Wang et al [6,7] proposed the use of a single-valued neutrosophic set (SVNS) and an interval neutrosophic set (INS), which can include much more information than fuzzy sets, IFSs, and IVIFSs. Ye [8] proposed the use of MADM with the correlation coefficients of SVNSs. Broumi and Smarandache [9] investigated the correlation coefficients of interval neutrosophic numbers (INNs). Liu and Liu [19] developed a generalized weighted power operator with SVNNs. Deli and Subas [20] discussed a method to rank SVNNs. Peng et al [21] proposed the use of multi-valued neutrosophic sets and defined some power operators for multiple attribute group decision making (MAGDM).
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