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Symmetry 2017, 9(6), 80; doi:10.3390/sym9060080

Multiple Attribute Decision-Making Method Using Correlation Coefficients of Normal Neutrosophic Sets

Department of Electrical and Information Engineering, Shaoxing University, Shaoxing 312000, China
Received: 29 April 2017 / Revised: 20 May 2017 / Accepted: 25 May 2017 / Published: 26 May 2017
(This article belongs to the Special Issue Fuzzy Techniques for Decision Making)
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Abstract

The normal distribution is a usual one of various distributions in the real world. A normal neutrosophic set (NNS) is composed of both a normal fuzzy number and a neutrosophic number, which a significant tool for describing the incompleteness, indeterminacy, and inconsistency of the decision-making information. In this paper, we propose two correlation coefficients between NNSs based on the score functions of normal neutrosophic numbers (NNNs) (basic elements in NNSs) and investigate their properties. Then, we develop a multiple attribute decision-making (MADM) method with NNSs under normal neutrosophic environments, where, by correlation coefficient values between each alternative (each evaluated NNS) and the ideal alternative (the ideal NNS), the ranking order of alternatives and the best one are given in the normal neutrosophic decision-making process. Finally, an illustrative example about the selection problem of investment alternatives is provided to demonstrate the application and feasibility of the developed decision-making method. Compared to the existing MADM approaches based on aggregation operators of NNNs, the proposed MADM method based on the correlation coefficients of NNSs shows the advantage of its simple decision-making process. View Full-Text
Keywords: multiple attribute decision-making; normal neutrosophic set; normal neutrosophic number; correlation coefficient multiple attribute decision-making; normal neutrosophic set; normal neutrosophic number; correlation coefficient
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited. (CC BY 4.0).

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Ye, J. Multiple Attribute Decision-Making Method Using Correlation Coefficients of Normal Neutrosophic Sets. Symmetry 2017, 9, 80.

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