International Journal of Neutrosophic Science

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.  

The connection between neutrosophy and algebra has been of great interest with respect to many researchers. The objective of this paper is to provide a connection between neutrosophic ℵ−structures and subtraction algebras. In this regard, we introduce the concept of neutrosophic ℵ−ideals in subtraction algebra. Moreover, we study its properties and find a necessary and sufficient condition for a neutrosophic ℵ−structure to be a neutrosophic ℵ−ideal.

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.       

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 & pioneer thinking. Lastly, estimation of total ideal time of the graph reflects the importance of this noble work.  

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.  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.