Cauchy Single-Valued Neutrosophic Numbers and Their Applications in MAGDM

CSVNNs and Their Applications in MAGDM

Abstract

The neutrosophic sets and numbers have an important role in modelling the problems. Recently, studies on the neutrosophic numbers and single-valued neutrosophic numbers which is a subclass of neutrosophic numbers have increased, rapidly. Cauchy distribution is an important concept in the statistic. In this paper, the notion of Cauchy single-valued neutrosophic numbers (CSVNNs) and \alpha-cuts are introduced based on the Cauchy distribution formula. Summation, subtraction, multiplication and division operations between two CSVNNs are defined and given related examples. Also, the score functions of CSVNNs, arithmetic and geometric aggregation operators of them are described. Based on the defined new concepts, a multi-attribute group decision-making method is developed. Finally, an application of the proposed method in the selection of the project to be financially supported is established to explain the functioning of the proposed method.