International Journal of Neutrosophic Science

  The aim of this paper is to present a study about recent progressions in the study of neutrosophic algebraic structures. Also, it lists the most interesting open questions about neutrosophic algebraic structures such as neutrosophic rings, refined neutrosophic rings and n-refined neutrosophic rings.   On the other hand, a study on neutrosophic ring of complex numbers has been presented, with many Smarandache-Kandasamy open problems about the properties of these numbers, especially algebraic ones.  

  In this paper, we built bitopological space on the concept of neutrosophic soft set, we defined the basic topological concepts of this spaces which are N3-(bi)*-open set, N3-(bi)*-closed set, (bi)*-neutrosophic soft interior, (bi)* neutrosophic soft closure, (bi)*-neutrosophic soft boundary, (bi)*-neutrosophic soft exterior and we introduced their properties. In addition, we investigated the relations of these basic topological concepts with their counterparts in neutrosophic soft topological spaces and we introduced many examples.  

The aim of this paper is to introduce the new concept of Quadripartitioned Neutrosophic Pythagorean soft set with T, C, U, F as dependent neutrosophic components and have also discussed some of its properties

  In a recent paper, Smarandache describes an extension to evolution theory by coming up with Neutrosophic Genetics. This short remark is intended as letter to editor of IJNS.  

The postulation of neutrosophic numbers has been analyzed from different angles in this paper. In this current era, our main purpose is to mention Decagonal Neutrosophic numbers. The types of linear and non-linear generalized decagonal neutrosophic numbers play a very critical role in the theory related to uncertainty This approach is helpful in getting a crisp number from a neutrosophic number. The definitions regarding Linear, Non-Linear, symmetry, Asymmetry, alpha cuts have been introduced and large decision-making problems using fuzzy TOPSIS have been solved.