Single-valued neutrosophic entropy and similarity measures to solve supplier selection problems

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 mult...

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Bibliographic Details
Published in:Journal of intelligent & fuzzy systems 2018-01, Vol.35 (6), p.6513-6523
Main Authors: Jin, Feifei, Ni, Zhiwei, Chen, Huayou, Langari, Reza, Zhu, Xuhui, Yuan, Hongjun
Format: Article
Language:English
Subjects:
Component and supplier management
Decision making
Entropy
Lagrange multiplier
Similarity
Similarity measures
Trigonometric functions
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Summary: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.
ISSN:1064-1246
1875-8967
DOI:10.3233/JIFS-18854