Affiliations: [a] School of Management, Hefei University of Technology, Hefei, Anhui, China
| [b] Key Laboratory of Process Optimization and Intelligent Decision-Making, Ministry of Education, Hefei, Anhui, China
| [c] Department of Mechanical Engineering, Texas A&M University, College Station, Texas, USA
| [d] School of Mathematical Sciences, Anhui University, Hefei, Anhui, China
| [e] School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu, Anhui, China
Correspondence:
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Corresponding author. Hongjun Yuan, School of Statistics and Applied Mathematics, Anhui University of Finance and Economics, Bengbu, Anhui, 233030, China. Tel.: +86 13955292196; E-mail: [email protected].
Abstract: The single-valued neutrosophic sets (SVNSs) are useful tools to describe uncertainty and inconsistent information that exist in real world. For SVNSs theory, two important topics are single-valued neutrosophic entropy and single-valued neutrosophic similarity measurer. This paper investigates a multi-attribute decision-making (MADM) method by using single-valued neutrosophic entropy and similarity measure. First, the concepts of single-valued neutrosophic entropy and similarity measure are presented. Then, based on the trigonometric functions (i.e., sine function and cosine function), we introduce two information measure formulas and prove that they satisfy the requirements of the single-valued neutrosophic entropy and similarity measure, respectively. Furthermore, we study the inter-relationship between single-valued neutrosophic entropy and similarity measure. By using Lagrange Multiplier Method and closeness degree, we develop a novel single-valued neutrosophic MADM method. Finally, a numerical example of selecting the desirable supplier is provided, and the comparison with existing approaches is performed to validate the rationality and effectiveness of the proposed method.
