# Qays Hatem ImranAl-Muthanna University · Department of Mathematics

Qays Hatem Imran

Assistant Professor

Assistant Professor in Al-Muthanna University, College of Education for Pure Science, Department of Mathematics

## About

38

Publications

9,755

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96

Citations

Introduction

Faculty Member as Assistant Professor in Al-Muthanna University, College of Education for Pure Science, Department of Mathematics, Samawah, Iraq. I have interest to do research works in Topology, Bitopology, Fuzzy Topology, Nano Topology, Neutrosophic Topology, Neutrosophic Crisp Topology, Topological Groups and Bitopological Groups.

Additional affiliations

October 2017 - present

October 2017 - present

October 2014 - October 2017

Education

September 2008 - September 2010

September 2004 - July 2008

## Publications

Publications (38)

Abstract: In this paper, we introduce a new class of sets called α^m-kernel set and study their basic properties in topological spaces. We introduce and investigate some separation axioms by using α^m-kernel set and the α^m-closed set. Further, we also introduce topological α^m-kr-space.

In this paper we introduced a new class of fuzzy closed sets called fuzzy gαg-closed sets and study their fundamental properties in fuzzy topological spaces. We also introduced fuzzy gαg-continuous functions with some of its properties. Moreover, the investigation will include some of the properties of the fuzzy separation axioms such fuzzy gαg-Ri-...

In this paper, we presented another concept of N-O.S. called NSα-O.S. and studied their fundamental properties in nano topological spaces. We also present NSα-interior and NSα-closure and study some of their fundamental properties.

In this paper, we should utilize the concepts of Nα-closed and Nsα-closed sets to define some new types of weakly nano closed functions such as; Nα-closed functions, Nα*-closed functions, Nα**-closed functions, Nsα-closed functions, Nsα*-closed functions and Nsα**-closed functions. Also, we should explain the relationships between these types of we...

In this paper, we intend to utilize the ideas of Neuα-open and Neusα-open sets to distinguish several novel conceptions of weakly neutrosophic continuous functions, for instance; -continuous, Neuα**-continuous , Neusα-continuous, Neusα*-continuous and Neusα**-continuous functions. Moreover, we will describe the interactions among these thoughts of...

This study utilizes some ideas of a-closed and semi-a-closed sets in neutrosophic crisp topological space to state roughly innovative categories of weakly neutrosophic crisp closed functions such as; neutrosophic crisp a*-closed functions, neutrosophic crisp a**-closed functions, neutrosophic crisp semi-a-closed functions, neutrosophic crisp semi-a...

The article considers a new generalization of closed sets in neutrosophic topological space. This generalization is called neutrosophic ℊsℊ-closed set. Moreover, we discuss its essential features in neutrosophic topological spaces. Furthermore, we extend the research by displaying new related definitions such as neutrosophic ℊsℊ-closure and neutros...

Our work announces novel concepts called neutrosophic crisp i-open sets, neutrosophic crisp inter-open sets and neutrosophic crisp ii-open sets by generalizing neutrosophic crisp open set in neutrosophic crisp topological space. Numerous properties and characterizations of these concepts are studied, and the relationships of these concepts with var...

This work employs the conceptions of neutrosophic crisp a-open and semi-a-open sets to distinguish some novel forms of weakly neutrosophic crisp open mappings; for instance, neutrosophic crisp a-open mappings, neutrosophic crisp a*-open mappings, neutrosophic crisp a**-open mappings, neutrosophic crisp semi-a-open mappings, neutrosophic crisp semi-...

The article processes the conceptualizations of neutrosophic crisp a-open and neutrosophic crisp semi-a-open sets to define some new types of weakly "neutrosophic crisp continuity" essentially, neutrosophic crisp a*-continuous, neutrosophic crisp a**-continuous, neutrosophic crisp semi-a-continuous, neutrosophic crisp semi-a*-continuous and neutros...

This article demonstrates a further class of neutrosophic closed sets named neutrosophic generalized αg-closed sets and discuss their essential characteristics in neutrosophic topological spaces. Moreover, we submit neutrosophic generalized αg-continuous functions with their elegant features.

The idea of neutrosophic generalized homeomorphism is presented in neutrosophic
topological spaces. In addition to this, neutrosophic generalized closed and open mappings are also
presented. At the same time, their characterizations are discussed by establishing their related
attributes.

In this article, we presented eight different types of neutrosophic topological groups, each
of which depends on the conceptions of neutrosophic -open sets and neutrosophic -continuous
functions. Also, we found the relation between these types, and we gave some properties on the
other side.

In this paper, we introduce and study a new class of neutrosophic closed set called neutrosophic α m-closed set. In this respect, we introduce the concepts of neutrosophic α m-continuous, strongly neutrosophic α m continuous, neutrosophic α m-irresolute and present their basic properties.

In this paper, we presented another concept of neutrosophic crisp generalized closed sets called neutrosophic crisp semi-a-closed sets and studied their fundamental properties in neutrosophic crisp topological spaces. We also present neutrosophic crisp semi-a-closure and neutrosophic crisp semi-a-interior and study some of their fundamental propert...

In this paper, we shall use the concepts of Nα-open and NSα-open sets to define some new types of weakly nano continuity such as; Nα-continuous, Nα*-continuous, Nα**-continuous, NSα-continuous, NSα*-continuous and NSα**-continuous maps. Also, we shall explain the relationships between these types of weakly nano continuity and the concepts of nano c...

In this paper, we presented another concept of neutrosophic open sets called neutrosophic semi-α-open sets and studied their fundamental properties in neutrosophic topological spaces. We also present neutrosophic semi-α-interior and neutrosophic semi-α-closure and study some of their fundamental properties.

In this paper we introduced four new types of open and closed sets in tri-topological spaces, where we have introduced the definition of open sets of the pattern N and closed sets of the pattern N in tri-topological spaces, as the we know from the open sets of the pattern S and closed sets of the pattern S in these spaces, and we studied the basic...

In this paper we present another class of N-CS called Ngαg-CS and study their fundamental properties in nano topological spaces. We also present Ngαg-continuous maps with some of its properties.

In this paper we introduced a new class of N-CS called Ngsg-CS and study their basic properties in nano topological spaces. We also introduce Ngsg-closure and Ngsg-interior and study some of their fundamental properties.

In this book we introduce eight types of bitopological groups each of which depending on the notions of ij-α-open sets and ij-α-continuous functions. This book introduces the notion of bitopological subgroups and investigating some cases where an algebric subgroup becomes a bitopological subgroup. In this book we construct a new bitopological group...

This paper will introduce a new class of fuzzy closed set (briefly F-CS) called fuzzy α^m-closed set as well as, introduce the fuzzy α^m-kernel set of the fuzzy topological space. The investigation will address and discuss some of the properties of the fuzzy separation axioms such as fuzzy α^m-R_i-space and fuzzy α^m-T_j-space (note that, the index...

The aim of this paper to introduce the concept of α̂g-kernel also we introduced the concept of the weakly ultra α̂g-separation of two sets in a topological space using α̂g-open sets. The α̂g-closure is defined in terms of this weakly ultra α̂g-separation. We also investigate some properties of weak separation axioms like α̂g-R i-spaces, i = 0,1 and...

In this paper, we introduce a new class of fuzzy closed sets called fuzzy α̂g-closed
sets also we introduce the concept of fuzzy α̂g-kernel set in a fuzzy topological space. We
also investigate some of the properties of weak fuzzy separation axioms like fuzzy α̂g-Ri-space,
i = 0,1,2,3 and fuzzy α̂g-Ti-space, i = 0,1,2,3,4.

The aim of this paper to introduce the concept of a^g-kernel also we introduced the concept of the weakly ultra g-separation of two sets in a topological space using g-open sets. The a^g-closure is defined in terms of this weakly ultra a^g-separation. We also investigate some properties of weak separation axioms like a^g-R i-spaces, i = 0,1 and a^g...

The aim of this paper is to introduce the concepts of generalized alpha star star closed sets, generalized alpha star star open sets and studies their basic properties in bitopological spaces.

In this paper we introduce a kernelled fuzzy point, boundary kernelled fuzzy point and derived kernelled fuzzy point of a subset A of X, and using these notions to define kernel set of fuzzy topological spaces. Also we introduce fuzzy topological-space. The investigation enables us to present some new fuzzy separation axioms between and-spaces.

The aim of this paper is to introduce the concepts of alpha star generalized ω-closed sets, alpha star generalized ω-open sets and study their basic properties in bitopological spaces.

In this paper, we introduce generalized alpha generalized closed sets (gαg-closed sets) in bitopological spaces and basic properties of these sets are analyzed. Further we define and study gαg-continuous mappings in bitopological spaces and some of their properties have been investigated.

In this paper, we study especial case of separation axioms in bitopological spaces by using alpha star generalized open sets and we prove some results about them comparing with similar cases in topological spaces.

Abstract: In this paper, we study especial case of compactness in bitopological spaces by considering ij-semi-α-open sets, we prove some results about them comparing with similar cases in topological spaces.

Abstract: The objective of this research is to study some properties of ij-semi-α-T ½ -spaces in bitopological spaces and their relationship with ij-semi-α-T0-spaces and ij-semi-α-T1-spaces.

The objective of this paper is to study a special case of connectedness in bitopological spaces by considering
ij -semi -α-open sets and their relationships with ij -α-connected space and ij -pre-connected space .

Abstract: In this paper, we study especial cases of separation axioms in bitopological spaces by considering ij-semi-α-open sets, we prove some results about them comparing with similar cases in topological spaces.

The goal of this work is to study some types of bitopological groups with respect to ij-α-open sets. We state below some of the main results that are obtained in this work:
1. The inversion function I in a bitopological group of type (R), where R=1,2,......,8 is ij-α-homeomorphism.
2. The inversion function I in a bitopological group of type (R),...

## Questions

Question (1)

## Projects

Projects (11)

This project is dedicated to share and view the modern works of all Scientists around the arabian world.
each member is requested to read and recommend the other's works.

In this paper we introduce the concepts of neutrosophic upper and neutrosophic lower semi-a-continuous multifunctions and study some of their basic properties.

In this paper, we shall use the concepts of neutrosophic a-open and neutrosophic semi-a-open sets to define some new types of weakly neutrosophic continuity such as; neutrosophic a-continuous, neutrosophic a*-continuous, neutrosophic a**-continuous, neutrosophic semi-a-continuous, neutrosophic semi-a*-continuous
and neutrosophic semi-a**-continuous functions. Also, we shall explain the relationships between these types of weakly neutrosophic continuity and the concepts of neutrosophic continuity. Moreover, we shall prove some theorems, properties, remarks and give counter examples about these new concepts of weakly neutrosophic continuity.