Affiliations: [a] Faculty of Information Technology, Vietnam National University of Agriculture, Hanoi, Vietnam | [b] Mathematics Department, University of New Mexico, Gallup, NM, USA
Correspondence:
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Corresponding author. Mr Nguyen Xuan Thao, Faculty of Information Technology, Vietnam National University of Agriculture, Hanoi, Vietnam. E-mail: nxthao@vnua.edu.vn.
Abstract: The single-valued neutrosophic set (SVNS) is an extension of the fuzzy set and intuitionistic fuzzy set. This is a useful tool to deal with uncertain and inconsistent information. In the information theory, the distance measure, entropy measure and similarity measures have an important role. Several entropy measures of SVNSs have been proposed and applied in many real problems. But they have some restriction in practice and in the academic study. The similarity measures induced from entropy were studied and gave interesting results. In this paper, we introduce a new entropy measure concept based on the SVNS, which overcomes the restriction of existing entropy measures. At the same time, we also investigate some similarity measures which are induced from new entropy measures and apply them to propose the multi-criteria decision making (MCDM) model in selecting the supplier.
Keywords: Entropy of SVNS, similarity measure of SVNS, MCDM
