Linear and Non-Linear Octagonal Neutrosophic Numbers: Its Representation, α-Cut and Applications

Abstract

In this paper, the primarily focus is to extend the concept of Octagonal Neutrosophic Numbers (ONN) since these numbers provide a wide range of applications while dealing with more fluctuations in the linguistic environment. Firstly, mathematical notions and definitions of Linear, Symmetric and Asymmetric types are proposed. Secondly, α-Cut is defined. Finally, a case study is done by using the TOPSIS technique of MCDM.