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Open AccessArticle

A Multi-Criteria Decision-Making Method Based on the Improved Single-Valued Neutrosophic Weighted Geometric Operator

by Chao Tian 1,2 and Juan Juan Peng 1,*
1
School of Information, Zhejiang University of Finance & Economics, Hangzhou 310018, China
2
School of Accounting, Zhejiang University of Finance & Economics, Hangzhou 310018, China
*
Author to whom correspondence should be addressed.
Mathematics 2020, 8(7), 1051; https://doi.org/10.3390/math8071051
Received: 17 June 2020 / Revised: 24 June 2020 / Accepted: 26 June 2020 / Published: 30 June 2020
The aggregation operator is one of the most common techniques to solve multi-criteria decision-making (MCDM) problems. The aim of this paper is to propose an MCDM method based on the improved single-valued neutrosophic weighted geometric (ISVNWG) operator. First, the defects of several existing single-valued neutrosophic weighted geometric aggregation operators in terms of producing uncertain results in some special cases are analyzed. Second, an ISVNWG operator is proposed to avoid the defects of existing operators. Further, the properties of the proposed ISVNWG operator, including idempotency, boundedness, monotonicity, and commutativity, are discussed. Finally, a single-valued neutrosophic MCDM method based on the developed ISVNWG operator is proposed to overcome the defects of existing MCDM methods based on existing operators. Application examples demonstrate that our proposed operator and corresponding MCDM method are effective and rational for avoiding uncertain results in some special cases.
Keywords: single-valued; neutrosophic numbers (SVNNs); improved single-valued neutrosophic geometric aggregation operator; multi-criteria decision-making (MCDM) single-valued; neutrosophic numbers (SVNNs); improved single-valued neutrosophic geometric aggregation operator; multi-criteria decision-making (MCDM)
MDPI and ACS Style

Tian, C.; Peng, J.J. A Multi-Criteria Decision-Making Method Based on the Improved Single-Valued Neutrosophic Weighted Geometric Operator. Mathematics 2020, 8, 1051.

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