4.5 Article

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

Journal

INFORMATICA
Volume 28, Issue 2, Pages 387-402

Publisher

INST MATHEMATICS & INFORMATICS
DOI: 10.15388/Informatica.2017.135

Keywords

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

Funding

  1. National Natural Science Foundation of China [71471172]

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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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