Abstract
The Dombi t-norm and Dombi t-conorm operations, which have the advantages of describing decision making information flexibly by using the general parameter, can be valid to deal with actual multiple attribute decision making (MADM) problems. Motivated by the basic Bonferroni mean (BM) operator, some novel Dombi Bonferroni mean (DBM) operators and Dombi geometric Bonferroni mean (DGBM) operators are developed to aggregate 2-tuple linguistic neutrosophic information in our manuscript. Obviously, some precious properties and numerical examples are given to testify the effective and scientific of these operators. Finally, the green supplier selection in green supply chain management is taken as an example to verify the proposed methods.
Highlights
In actual decision making environment, it’s of great importance to derive exact assessment information [1]–[6]
STi, δi, sIi, εi, sFi, ηi be a set of 2TLNNs, and let
2TLNWDBMgω,h (φ1, φ2, · · ·, φm) i,j=1 ωiωj φig ⊗ φjh Theorem 2: Let φi = sTi, δi, sIi, εi, sFi, ηi be a set of 2TLNNs, and let
Summary
In actual decision making environment, it’s of great importance to derive exact assessment information [1]–[6]. Et al [30] further defined the single valued neutrosophic interval 2-tuple linguistic set (SVN-ITLS) and studied some Maclaurin symmetric mean (MSM) operators under SVN-ITLS environment. Chen and Ye [37] defined novel single valued neutrosophic Dombi operation laws and utilized the WA and WG operators to fuse SVNNs. Khan, et al [38] discussed some Dombi power Bonferroni mean (DPBM) operators under the interval-valued neutrosophic environment. Motivated by the advantages of the Dombi operation laws, the BM operator and the 2TLNS, the goal of our paper is to fuse the 2-tuple linguistic neutrosophic information by using the Dombi BM operators To achieve this goal, The rest of this article is described below.
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