In this paper, the concepts of Neutro-BE-algebra and Anti-BE-algebra are introduced, and some related properties and four theorems are investigated. We show that the classes of Neutro-BE-algebra and Anti-BE-algebras are alternatives of the class of BE-algebras.
Read MoreDoi: https://doi.org/10.54216/IJNS.040101
Vol. 4 Issue. 1 PP. 08-15, (2020)
The objective of this paper is to examine NeutroAlgebras and AntiAlgebras viz-a-viz the classical number systems.
Read MoreDoi: https://doi.org/10.54216/IJNS.040102
Vol. 4 Issue. 1 PP. 16-19, (2020)
The objective of this paper is to study Neutrosophic Quadruple Hypervector Spaces and present some of their basic definitions and properties. This paper generalizes the concept of Neutrosophic Hypervector spaces by presenting their Neutrosophic Quadruple forms. Some notions such as Neutrosphic hypersubspaces, linear combination, linearly dependence and linearly independence are generalized. Some interesting results and examples to illustrate the new concepts introduced are presented.
Read MoreDoi: https://doi.org/10.54216/IJNS.040103
Vol. 4 Issue. 1 PP. 20-35, (2020)
In this paper, neutrosophic crisp supra bi-topological structure, which is a more general structure than neutrosophic crisp supra topological spaces, is built on neutrosophic crisp sets. The necessary arguments which are pairwise neutrosophic crisp supra open set, pairwise neutrosophic crisp supra closed set, pairwise neutrosophic crisp supra closure, pairwise neutrosophic crisp supra interior is defined, and their basic properties are presented. Finally, many examples are presented.
Read MoreDoi: https://doi.org/10.54216/IJNS.040104
Vol. 4 Issue. 1 PP. 36-46, (2020)
This paper presents operational laws along with their cosine measure for the numbers whose base is an interval value and study their properties. Consequent upon these definitions and properties neutrosophic cubic weighted exponential averaging and dual neutrosophic cubic weighted exponential averaging aggregation operators are defined. A multi attribute decision making method is then developed for proposed aggregation operators. An example is constructed as an application. The validity of multi attribute decision making method is also tested and comparative analysis is provided to compare these aggregation operators with existing results.
Read MoreDoi: https://doi.org/10.54216/IJNS.040105
Vol. 4 Issue. 1 PP. 47-71, (2020)