The Polar form of a Neutrosophic Complex Number

Riad K.; Mayas; Florentin

doi:https://doi.org/10.54216/IJNS.0100103

International Journal of Neutrosophic Science | 2020

Decision Support Modeling For Agriculture Land Selection Based On Sine Trigonometric Single Valued Neutrosophic Information

A single valued neutrosophic set (SVNS) is a useful tool to portray uncertainty in multi attribute decisionmaking. In this article, we develop hybrid averaging and hybrid geometric aggregation operator using sine trigonometric function to handle uncertainty in single valued Neutrosophic information, which are, sine trigonometricsingle valued neutrosophic hybrid weighted averaging (ST-SVNHWA) operator and , sine trigonometric-single valued neutrosophic hybrid weighted geometric (ST-SVNHWG) operator. We investigate properties, namely, idempotancy, monotonicity and boundedness for the proposed operators. Moreover, we give an algorithm to solve multi criteria decision-making issues which involve SVN information with ST-SVNHWA and STSVNHWG operators. Finally, an illustrative example of agricultural land selection is provided to verify the effectiveness. Sensitivity and comparative analyses are also implemented to assess the stability and validity of our method.

groups

Shahzaib Ashraf mail -

Saleem Abdullah mail

link https://doi.org/10.54216/IJNS.090201

Volume & Issue

Vol. Volume 9 / Iss. Issue 2

Details open_in_new

International Journal of Neutrosophic Science | 2020

A Study of AH-Substructures in n-Refined Neutrosophic Vector Spaces

The aim of this paper is to define and study for the first time AH-substructures in n-refined neutrosophic vector spaces such as weak/strong AH-subspaces, and weak/strong AH-linear transformations between two n-refined neutrosophic vector spaces. Also, this paper introduces some elementary properties of these concepts. 

groups

Mohammad Abobala mail

link https://doi.org/10.54216/IJNS.090202

Volume & Issue

Vol. Volume 9 / Iss. Issue 2

Details open_in_new

International Journal of Neutrosophic Science | 2020

On Refined Neutrosophic Hypergroup

This paper presents the refinement of neutrosophic hypergroup and studies some of its properties. Several interesting results and examples are presented. The existence of a good homomorphism between a refined neutrosophic hypergroup H(I1; I2) and a neutrosophic hypergroup H(I) is established. Keywords: Neutrosophy, neutrosophic hypegroup, neutrosophic subhypergroup, refined neutrosophic hypergroup, refined neutrosophic subhypergroup.

groups

M.A. Ibrahim mail -

A.A.A. Agboola mail -

B.S. Badmus mail -

S.A. Akinleye mail

link https://doi.org/10.54216/IJNS.090203

Volume & Issue

Vol. Volume 9 / Iss. Issue 2

Details open_in_new

International Journal of Neutrosophic Science | 2020

The Natural Bases of Neutrosophy

Neutrosophy began as a branch of philosophy that considered neutrality in addition to the positive and negative. It consists of the addition consideration of a neutral state to complement the binary approach of true or false. Its creator quickly extended it to the field of mathematics and it was gradually applied to all fields of science. Here, we present a reverse approach that highlights the importance of neutrality in all fields of study and application, citing some revealing examples. Furthermore, we explain that this importance of neutrality is intrinsic to all sciences because it is based on natural foundations. Indeed, neutrality is a forming part first of all of the human conception of things, of our way of thinking, of cognition in general but also of living things, matter and even particles. In addition to these most real-world physical concrete aspects, neutrality is inherent to mathematics, to logic first of all, but also to probabilities and statistics where neutrality which simply results from a large number of objects, the universe. Thus neutrosophy is well adapted to the majority of applied problems because its modeling is inspired by reality and that it allows, in particular, to deal with the component of uncertainty and indeterminacy that the real world comprises intrinsically.

groups

Philippe Schweizer mail

link https://doi.org/10.54216/IJNS.090204

Volume & Issue

Vol. Volume 9 / Iss. Issue 2

Details open_in_new

International Journal of Neutrosophic Science | 2020

AH-Substructures in Strong Refined Neutrosophic Modules

The objective of this paper is to define and study the concepts of strong AH-submodule, and AH-homomorphism in a refined neutrosophic module. Also, this work describes the algebraic structure of all AH-endomorphisms defined over a refined neutrosophic module.

groups

Mohammad Abobala mail -

Ahmad Hatip mail

link https://doi.org/10.54216/IJNS.090205

Volume & Issue

Vol. Volume 9 / Iss. Issue 2

Details open_in_new

International Journal of Neutrosophic Science | 2020

Volume 8 - Table of Contents

groups

IJNS mail

link Volume 8 - Table of Contents

Volume & Issue

Vol. Volume 9 / Iss. Volume 9 - Table of Contents

Details open_in_new

International Journal of Neutrosophic Science | 2020

A note on single valued neutrosophic sets in ordered groupoids

The aim of this paper is to combine the notions of ordered algebraic structures and neutrosophy. In this regard, we define for the first time single valued neutrosophic sets in ordered groupoids. More precisely, we study single valued neutrosophic subgroupoids of groupoids, single valued neutrosophic ideals of groupoids, and single valued neutrosophic filters of groupoids. And we present some remarks on single valued neutrosophic subgroups (ideals) of groups.

groups

MadeleineAliAl-Tahan mail

link

Volume & Issue

Details open_in_new

International Journal of Neutrosophic Science | 2020

Introduction to Neutrosophic Hypernear-rings

This paper is concerned with the introduction of neutrosophic hypernear-rings. The concept of Neutrosophic A-hypergroup of a hypernear-ring A; neutrosophic A(I)-hypergroup of a neutrosophic hypernear-ring A(I) and their respective neutrosophic substructures are defined. We investigate and present some interesting results arising from the study of hypernear-rings in neutrosophic environment. It is shown that a constant Neutrosophic hypernear-ring in general is not a constant hypernear-ring. In addition, we consider the neutrosophic ideals, neutrosophic homomorphism and neutrosophic quotient hypernear-rings of neutrosophic hypernear-rings. 

groups

M.A. Ibrahim mail -

A.A.A. Agboola mail

link https://doi.org/10.54216/IJNS.0100101

Volume & Issue

Vol. Volume 10 / Iss. Issue 1

Details open_in_new

International Journal of Neutrosophic Science | 2020

A Note on Neutrosophic Polynomials and Some of Its Properties

The purpose of this article is to study neutrosophic polynomials i.e. polynomials which are Neutrosophic in nature and study its properties with the help of  neutrosophic numbers. Apart from this we discuss different types of neutrosophic polynomials with concrete examples and establish some theorems and results which will be useful for the further study. We also give a solution method to find the approximate roots of a neutrosophic polynomial equation.

groups

Somen Debnath mail -

Anjan Mukherjee mail

link https://doi.org/10.54216/IJNS.0100102

Volume & Issue

Vol. Volume 10 / Iss. Issue 1

Details open_in_new

International Journal of Neutrosophic Science | 2020