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Some Weighted Aggregation Operators of Trapezoidal Neutrosophic Numbers and Their Multiple Attribute Decision Making Method
Volume 28, Issue 2 (2017), pp. 387–402
Pub. online: 1 January 2017      Type: Research Article      Open accessOpen Access
Received
1 January 2015
Accepted
1 January 2016
Published
1 January 2017

Abstract

This paper proposes the concepts of a neutrosophic number and a trapezoidal neutrosophic number (TNN), the basic operational relations of TNNs, and the score function of TNN. Then, we develop a trapezoidal neutrosophic weighted arithmetic averaging (TNWAA) operator and a trapezoidal neutrosophic weighted geometric averaging (TNWGA) operator to aggregate TNN information and investigate their properties. Furthermore, a multiple attribute decision making method based on the TNWAA and TNWGA operators and the score function of TNN is established under a TNN environment. Finally, an illustrative example of investment alternatives is given to demonstrate the application and effectiveness of the developed approach.

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Biographies

Ye Jun
yehjun@aliyun.com

J. Ye graduated and received his MS degree in automation and robotics from the Technical University of Koszalin, Poland in 1997. From February 2012 to August 2012, he was a visiting scholar in the School of Engineering of Southern Polytechnic State University in USA. Now, he is a professor in the Department of Electrical and Information Engineering, Shaoxing University, China. He has more than 30 years of experience in teaching and research. His research interests include soft computing, fuzzy decision-making, pattern recognitions, fault diagnosis, robotics, and intelligent control. He has published more than one hundred papers in journals. He has written a few books related to his research work. He has finished a few projects sponsored by government of China.


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Open access article under the CC BY license.

Keywords
trapezoidal neutrosophic number score function trapezoidal neutrosophic weighted arithmetic averaging (TNWAA) operator trapezoidal neutrosophic weighted geometric averaging (TNWGA) operator multiple attribute decision making

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