Generalized OWA Operator of Orthopair Neutrosophic Numbers and Their Application in Multiple Attribute Decision-Making Problems

Abstract

A neutrosophic number (NN) is a useful mathematical tool in indeterminacy theory. As
the mixed form of an intuitionistic fuzzy set and NN, an orthopair neutrosophic number (ONN) can
express the true indeterminate degree and the false indeterminate degree. In view of generalized
ordered weighted operators, this article presents two generalized ordered weighted operators of
ONNs, including an orthopair neutrosophic number generalized ordered weighted average
(ONNGOWA) operator and an orthopair neutrosophic number generalized ordered weighted
geometric (ONNGOWG) operator, and their characteristics. A multi-attribute decision-making
(MADM) model is established by the weighted operation of the ONNGOWA and ONNGOWG
operators. Finally, an example on the selection problem of electric vehicle design schemes is given
to reflect the effectivity of the proposed MADM model in the scenario of ONNs.