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Article type: Research Article
Authors: Ye, Jun
Affiliations: Department of Electrical and Information Engineering, Shaoxing University, 508 Huancheng West Road, Shaoxing, Zhejiang Province 312000, PR China, E-mail: yehjun@aliyun.com
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.
Keywords: trapezoidal neutrosophic number, score function, trapezoidal neutrosophic weighted arithmetic averaging (TNWAA) operator, trapezoidal neutrosophic weighted geometric averaging (TNWGA) operator, multiple attribute decision making
Journal: Informatica, vol. 28, no. 2, pp. 387-402, 2017
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