Some weighted aggregation operators of trapezoidal neutrosophic numbers and their multiple attribute decision making method

Based on the combination of single valued neutrosophic sets (SVNSs) and fuzzy numbers, this paper proposes the concepts of a neutrosophic number and a trapezoidal neutrosophic number (TNN) as the
extension of an intuitionistic fuzzy number and an intuitionistic trapezoidal fuzzy number (ITFN), 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 proposed TNWAA and TNWGA operators and
the score function of TNN is established under TNN environment. Finally, an illustrative example of
investment alternatives is given to demonstrate the application and effectiveness of the developed
approach.