## International Journal of Neutrosophic Science

##### Journal DOI

https://doi.org/10.54216/IJNS

2690-6805ISSN (Online) 2692-6148ISSN (Print)

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

##### Muhammad Saqlain * , Ali Hamza , Sara Farooq

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, &alpha;-Cut is defined. Finally, a case study is done by using the TOPSIS technique of MCDM.&nbsp; &nbsp; &nbsp; &nbsp;

Vol. 3 Issue. 1 PP. 29-43, (2020)

#### The Concept of Neutrosophic Limits in Real Sequences

##### Huda E. Khalid * , Ahmed K. Essa

The theory of neutrosophic limits is the natural step before developing the theory of neutrosophic continuous functions and developing the theory of neutrosophic differentiation. The goal of this work is to construct a new definition of the neutrosophic limits for real sequences using the distance as a linear operator. Some new theorems are presented to cover the theoretical notions of this topic and an illustrative example is presented to help the reader understanding the notions of this article.&nbsp;&nbsp;

Vol. 3 Issue. 1 PP. 08-13, (2020)

#### Using Moving Averages To Pave The Neutrosophic Time Series

##### Rafif Alhabib * , A. A. Salama

In this paper, were using moving averages to pave the Neutrosophic time series. similar to use moving averages to pave the classical time series. the difference, here were dealing with inaccurate data and values of the time series.in the Neutrosophic time series, each unit of time(t) corresponds to a range of values instead of a single value.&nbsp;&nbsp;Finally, we find that the Neutrosophic time series provide an accurate description of the behavior of the series better than in the classic. Therefore, can predict the future of the series as accurately as possible.

Vol. 3 Issue. 1 PP. 14-20, (2020)

#### Application of Pentagonal Neutrosophic Number in Shortest Path Problem

##### Avishek Chakraborty

Real-human kind issues have distinct sort of ambiguity and among them; one of the critical troubles is solving the shortest path problem. In this contribution, we applied the developed score function and accuracy function of pentagonal neutrosophic number (PNN) into a shortage path selection problem. Further, a time dependent and heuristic cost function related shortest path algorithm is considered here in PNN area and solved it utilizing an influx of dissimilar rational &amp; pioneer thinking. Lastly, estimation of total ideal time of the graph reflects the importance of this noble work. &nbsp;