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Neutrosophic Linear Equations and Application in Traffic Flow Problems

Department of Electrical and Information Engineering, Shaoxing University, 508 Huancheng West Road, Shaoxing 312000, China
Algorithms 2017, 10(4), 133;
Received: 2 October 2017 / Revised: 28 November 2017 / Accepted: 30 November 2017 / Published: 1 December 2017
PDF [296 KB, uploaded 4 December 2017]


A neutrosophic number (NN) presented by Smarandache can express determinate and/or indeterminate information in real life. NN (z = a + uI) consists of the determinate part a and the indeterminate part uI for a, uR (R is all real numbers) and indeterminacy I, and is very suitable for representing and handling problems with both determinate and indeterminate information. Based on the concept of NNs, this paper presents for first time the concepts of neutrosophic linear equations and the neutrosophic matrix, and introduces the neutrosophic matrix operations. Then, we propose some solving methods, including the substitution method, the addition method, and the inverse matrix method, for the system of neutrosophic linear equations or the neutrosophic matrix equation. Finally, an applied example about a traffic flow problem is provided to illustrate the application and effectiveness of handling the indeterminate traffic flow problem by using the system of neutrosophic linear equations. View Full-Text
Keywords: neutrosophic number; neutrosophic linear equation; neutrosophic matrix; traffic flow neutrosophic number; neutrosophic linear equation; neutrosophic matrix; traffic flow

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Ye, J. Neutrosophic Linear Equations and Application in Traffic Flow Problems. Algorithms 2017, 10, 133.

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