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

A SVTrN-number approach of multi-objective optimisation on the basis of simple ratio analysis based on MCDM method

An essential process in the study of human work behaviour or human resource management is the personnel selection/recruitment and a major challenge of an organization is to determine the most potential personnel. From th...

On Refined Neutrosophic Algebraic Hyperstructures I

Given any algebraic hyperstructure (X, ∗, ◦), the objective of this paper is to generate a refined neutrosophic algebraic hyperstructure (X(I1, I2), ∗', ◦') from X, I1 and I2 and study refined neutrosophic Krasner hyper-ri...

Image and Inverse Image of Neutrosophic Cubic Sets in UP-Algebras under UP-Homomorphisms

The concept of a neutrosophic cubic set in a UP-algebra was introduced by Songsaeng and Iampan [Neu-trosophic cubic set theory applied to UP-algebras, 2019]. In this paper, we define the image and inverse image of a neutr...

On single valued neutrosophic sets and neutrosophic א-structures: Applications on algebraic structures (hyperstructures)

In this paper, we find a relationship between SVNS and neutrosophic N-structures and study it. Moreover, we apply our results to algebraic structures (hyperstructures) and prove that the results on neutrosophic N-substr...

A New Score Function of Pentagonal Neutrosophic Number and its Application in Networking Problem

The pentagonal neutrosophic number is an extended version of single typed neutrosophic number. Real-humankind problems have different sorts of ambiguity in nature and amongst them; one of the important problems is solvin...

Download PDF file
  • EP ID EP683451
  • DOI -
  • Views 265
  • 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