Some Weighted Aggregation Operators of Trapezoidal Neutrosophic Numbers and Their Multiple Attribute Decision Making Method

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: [email protected]

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