On Refined Neutrosophic Vector Spaces I

Journal Title: International Journal of Neutrosophic Science (IJNS) - Year 2020, Vol 7, Issue 2

Abstract

The objective of this paper is to present the concept of a refined neutrosophic vector space. Weak(strong) refined neutrosophic vector spaces and subspaces, and, strong refined neutrosophic quotient vector spaces are studied. Several interesting results and examples are presented. It is shown that every weak (strong) refined neutrosophic vector space is a vector space and it is equally shown that every strong refined neutrosophic vector space is a weak refined neutrosophic vector space.

Authors and Affiliations

M. A. Ibrahim , A. A. A. Agboola , B. S. Badmus , S. A. Akinleye

Keywords

Related Articles

On Neutro-BE-algebras and Anti-BE-algebras

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...

On Refined Neutrosophic R-module

Modules are one of the fundamental and rich algebraic structure concerning some binary operations in the study of algebra. In this paper, some basic structures of refined neutrosophic R-modules and refined neutrosophic s...

On αω-closed sets and its connectedness in terms of neutrosophic topological spaces

The aim of this paper is to introduce the notion of neutrosophic αω-closed sets and study some of the prop-erties of neutrosophic αω-closed sets. Further, we investigated neutrosophic αω- continuity, neutrosophic αω-irre...

Utilization of Jaccard Index Measures on Multiple Attribute Group Decision Making under Neutrosophic Environment

In this paper, we introduce the concept of Jaccard index measures under the neutrosophic environment to make the right decision in multiple attributes. Here, we insinuate two Jaccard index measures based on distance an...

A Study of the Integration of Neutrosophic Thick Function

In this paper, the definition of neutrosophic thick function and its integral are introduced. The main objective is defining a differential linear equation based on the thick function and finding solutions for this equat...

Download PDF file
  • EP ID EP683451
  • DOI -
  • Views 262
  • Downloads 0

How To Cite

M. A. Ibrahim, A. A. A. Agboola, B. S. Badmus, S. A. Akinleye (2020). On Refined Neutrosophic Vector Spaces I. International Journal of Neutrosophic Science (IJNS), 7(2), -. https://europub.co.uk/articles/-A-683451