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Sibel Demiralp

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Florentin Smarandache

University of New Mexico

Hassan II Mohammadia University

Abdullah Kargın

GAZİANTEP ÜNİVERSİTESİ

University of Gaziantep

Muhammad Gulistan

Hazara University Mansehra, Dhodial KPK Pakistan

Wadei Faris F Alomeri

Jadara University

Prof. Dr. Raffaele Pisano, MSc, HDR (Habil.)

Université des Sciences et Technologies de Lille (Lille-1)

Kerstin P. Hofmann

German Archaeological Institute

Umberto Cerruti

Università degli Studi di Torino

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Papers by Sibel Demiralp

Fixed Point Theorem on Neutrosophic Triplet b-Metric Space

The notion of neutrosophic triplet, in the form of (p, np, ap) is a recent subject of neutrosophy... more The notion of neutrosophic triplet, in the form of (p, np, ap) is a recent subject of neutrosophy, where np is the neutral of the element p and ap is the opposite of p. In this paper, neutrosophic triplet b-metric spaces are investigated. Then some new definitions and examples are given for neutrosophic triplet b-metric space. Based on these definitions, new theorems are given and proven. A neutrosophic triplet topology induced by neutrosophic triplet b-metric is obtained. Furthermore, a contraction map is defined for neutrosophic triplet b-metric space, and finally, a fixed point theorem is given for it.

Generalized Open Sets in Neutrosophic Soft Bitopological Spaces

In this study, some generalized neutrosophic soft open sets are defined in neutrosophic soft bito... more

Ordering Methods of C-Control Charts with Interval TYPE-2 Intuitionistic Fuzzy Sets

Journal of Universal Mathematics, 2020

The control charts are important because it provides information about the process and the state ... more The control charts are important because it provides information about the process and the state of control of the product. With this feature, control charts are used in many areas. Intuitionistic fuzzy sets and intervalvalued intuitionistic fuzzy sets are useful to modelling of the real-world problems. Ordering of the fuzzy numbers is investigated by a lot of scientists and it is generalised to intuitionistic fuzzy sets because of applicability. Ordering interval-valued type-2 intuitionistic fuzzy sets is significant in making decision, data analysis and artificial intelligence since interval analysis is required.In this study a new method to ordering interval-valued type-2 intuitionistic fuzzy sets is defined and numerical methods are compared to other methods.

On Generated Groups

Journal of Universal Mathematics, 2020

In this paper we define a binary operation α * on Y , called as generated operation. We have show... more

On Digital H-Groups

Journal of Universal Mathematics, 2019

In this paper, specific properties of digital H-spaces and digital H-groups are studied. It is sh... more In this paper, specific properties of digital H-spaces and digital H-groups are studied. It is shown that there is a contravariant functor from the homotopy category of the pointed digital images to the category of groups and homomorphisms. Then it is proven that a pointed digital image having the same digital homotopy type as a digital H-group is itself a digital H-group.

Deformation Retract of a Digital H-Space

Journal of Universal Mathematics, 2019

In this study we investigate some properties of digital H-spaces and digital H-groups. It is show... more In this study we investigate some properties of digital H-spaces and digital H-groups. It is shown that a κ-deformation retract of a digital H-group is itself a digital H-group. Also we prove that there is a functor from the homotopy category of the pointed digital images to the category of groups and homomorphisms.

H-Group Structure on Intuitionistic Fuzzy Topological Space

Journal of Universal Mathematics, 2019

In this study we investigate some properties of the pointed intuitionistic fuzzy topological spac... more

On Fuzzy Sub-H-Groups

In this paper we introduce fuzzy sub-H-group and give some examples. We show that there exist a n... more In this paper we introduce fuzzy sub-H-group and give some examples. We show that there exist a natural transformation between [Y,Z] and [X,Z] where Y is a fuzzy sub-H-group of X. Also we prove that if Y is a fuzzy subspace of X, then ΩY is a fuzzy sub-H-group of ΩX. 2010 AMS Classification: 55P45, 54A40, 20N25.

On Some Generalized Open Sets in Ideal Bitopological Spaces

In this article, we introduce and study the concepts of \gamma ij - I -sets, \gamma ij - preI -op... more In this article, we introduce and study the concepts of \gamma ij - I -sets, \gamma ij - preI -open sets, and \gamma ij -b-I -open sets by generalizing (i,j)-I-open, (i,j)-preI-open, and (i,j)-bI- open sets, respectively, in ideal bitopological spaces with an operation \gamma: \tau \rightarrow P(X). Further, we describe and study (\gamma, \delta) ij -bI-continuous functions in ideal bitopological spaces through this paper .

On Fuzzy Sub-H-Group

In this paper we introduce fuzzy sub-H-group and give some examples. We show that there exist a n... more

Some Characterizations of Hopf Group on Fuzzy Topological Spaces

In this paper, some fundamental concepts are given relating to fuzzy topological spaces. Then it ... more In this paper, some fundamental concepts are given relating to fuzzy topological spaces. Then it is shown that there is a contravariant functor from the category of the pointed fuzzy topological spaces to the category of groups and homomorphisms. Also the fuzzy topological spaces which are Hopf spaces are investigated and it is shown that a pointed fuzzy toplogical space having the same homotopy type as an Hopf group is itself an Hopf group.

Introduction to Neutrosophic Soft Bitopological Spaces

International Journal of Neutrosophic Science

In this study, the concept of neutrosophic soft bitopological space is defined and it is one of t... more In this study, the concept of neutrosophic soft bitopological space is defined and it is one of the few studies that have dealt with this concept. In addition, pairwise neutrosophic soft open (closed) set on neutrosophic soft bitopological spaces are studied. Supra neutrosophic soft topology is defined by pairwise neutrosophic soft open sets. Important theorems related to the subject supported with many examples for a better understanding of the subject are given.

Neutrosophic Soft Tri-Topological Spaces

International Journal of Neutrosophic Science

In this study, the concept of neutrosophic soft tri-topological space is defined as a generalizat... more In this study, the concept of neutrosophic soft tri-topological space is defined as a generalization of neutrosophic soft bitopological space. Then neutrosophic soft tri-open and tri-closed sets are defined and in this space. Also, some basic properties of these new types of open and closed sets are investigated and supported by many examples to further clarify the study.

On Generalized β-Open Sets in Ideal Bitopological Space

European Journal of Pure and Applied Mathematics

In this article, we introduce and study the concepts of γij -semi-I-open sets and γij -βI-open se... more In this article, we introduce and study the concepts of γij -semi-I-open sets and γij -βI-open sets by generalizing (i, j)-semi-I-open sets and (ij)-βI-open sets, respectively, in ideal bitopological spaces with an operation γ : τ → P(X). Further, we describe and study (γ, δ)ij -semi-I-continuous and (γ, δ)ij -βI-continuous functions in ideal bitopological spaces and their related notions. In addition, various examples and counterexamples are given for answers to some questions raised in this study.

Some Properties of Fuzzy H-Spaces

JP Journal of Algebra, Number Theory and Applications

Fuzzy Loop Spaces Having Hopf Group Structure

Journal of Selcuk University Natural and Applied Science, 2013

In this paper, some fundamental concepts are given relating to fuzzy homotopy and fuzzy loop spac... more

Fixed Point Theorem on Neutrosophic Triplet b-Metric Space

The notion of neutrosophic triplet, in the form of (p, np, ap) is a recent subject of neutrosophy... more The notion of neutrosophic triplet, in the form of (p, np, ap) is a recent subject of neutrosophy, where np is the neutral of the element p and ap is the opposite of p. In this paper, neutrosophic triplet b-metric spaces are investigated. Then some new definitions and examples are given for neutrosophic triplet b-metric space. Based on these definitions, new theorems are given and proven. A neutrosophic triplet topology induced by neutrosophic triplet b-metric is obtained. Furthermore, a contraction map is defined for neutrosophic triplet b-metric space, and finally, a fixed point theorem is given for it.

Generalized Open Sets in Neutrosophic Soft Bitopological Spaces

In this study, some generalized neutrosophic soft open sets are defined in neutrosophic soft bito... more

Ordering Methods of C-Control Charts with Interval TYPE-2 Intuitionistic Fuzzy Sets

Journal of Universal Mathematics, 2020

The control charts are important because it provides information about the process and the state ... more The control charts are important because it provides information about the process and the state of control of the product. With this feature, control charts are used in many areas. Intuitionistic fuzzy sets and intervalvalued intuitionistic fuzzy sets are useful to modelling of the real-world problems. Ordering of the fuzzy numbers is investigated by a lot of scientists and it is generalised to intuitionistic fuzzy sets because of applicability. Ordering interval-valued type-2 intuitionistic fuzzy sets is significant in making decision, data analysis and artificial intelligence since interval analysis is required.In this study a new method to ordering interval-valued type-2 intuitionistic fuzzy sets is defined and numerical methods are compared to other methods.

On Generated Groups

Journal of Universal Mathematics, 2020

In this paper we define a binary operation α * on Y , called as generated operation. We have show... more

On Digital H-Groups

Journal of Universal Mathematics, 2019

In this paper, specific properties of digital H-spaces and digital H-groups are studied. It is sh... more In this paper, specific properties of digital H-spaces and digital H-groups are studied. It is shown that there is a contravariant functor from the homotopy category of the pointed digital images to the category of groups and homomorphisms. Then it is proven that a pointed digital image having the same digital homotopy type as a digital H-group is itself a digital H-group.

Deformation Retract of a Digital H-Space

Journal of Universal Mathematics, 2019

In this study we investigate some properties of digital H-spaces and digital H-groups. It is show... more In this study we investigate some properties of digital H-spaces and digital H-groups. It is shown that a κ-deformation retract of a digital H-group is itself a digital H-group. Also we prove that there is a functor from the homotopy category of the pointed digital images to the category of groups and homomorphisms.

H-Group Structure on Intuitionistic Fuzzy Topological Space

Journal of Universal Mathematics, 2019

In this study we investigate some properties of the pointed intuitionistic fuzzy topological spac... more

On Fuzzy Sub-H-Groups

In this paper we introduce fuzzy sub-H-group and give some examples. We show that there exist a n... more In this paper we introduce fuzzy sub-H-group and give some examples. We show that there exist a natural transformation between [Y,Z] and [X,Z] where Y is a fuzzy sub-H-group of X. Also we prove that if Y is a fuzzy subspace of X, then ΩY is a fuzzy sub-H-group of ΩX. 2010 AMS Classification: 55P45, 54A40, 20N25.

On Some Generalized Open Sets in Ideal Bitopological Spaces

In this article, we introduce and study the concepts of \gamma ij - I -sets, \gamma ij - preI -op... more In this article, we introduce and study the concepts of \gamma ij - I -sets, \gamma ij - preI -open sets, and \gamma ij -b-I -open sets by generalizing (i,j)-I-open, (i,j)-preI-open, and (i,j)-bI- open sets, respectively, in ideal bitopological spaces with an operation \gamma: \tau \rightarrow P(X). Further, we describe and study (\gamma, \delta) ij -bI-continuous functions in ideal bitopological spaces through this paper .

On Fuzzy Sub-H-Group

In this paper we introduce fuzzy sub-H-group and give some examples. We show that there exist a n... more

Some Characterizations of Hopf Group on Fuzzy Topological Spaces

In this paper, some fundamental concepts are given relating to fuzzy topological spaces. Then it ... more In this paper, some fundamental concepts are given relating to fuzzy topological spaces. Then it is shown that there is a contravariant functor from the category of the pointed fuzzy topological spaces to the category of groups and homomorphisms. Also the fuzzy topological spaces which are Hopf spaces are investigated and it is shown that a pointed fuzzy toplogical space having the same homotopy type as an Hopf group is itself an Hopf group.

Introduction to Neutrosophic Soft Bitopological Spaces

International Journal of Neutrosophic Science

In this study, the concept of neutrosophic soft bitopological space is defined and it is one of t... more In this study, the concept of neutrosophic soft bitopological space is defined and it is one of the few studies that have dealt with this concept. In addition, pairwise neutrosophic soft open (closed) set on neutrosophic soft bitopological spaces are studied. Supra neutrosophic soft topology is defined by pairwise neutrosophic soft open sets. Important theorems related to the subject supported with many examples for a better understanding of the subject are given.

Neutrosophic Soft Tri-Topological Spaces

International Journal of Neutrosophic Science

In this study, the concept of neutrosophic soft tri-topological space is defined as a generalizat... more In this study, the concept of neutrosophic soft tri-topological space is defined as a generalization of neutrosophic soft bitopological space. Then neutrosophic soft tri-open and tri-closed sets are defined and in this space. Also, some basic properties of these new types of open and closed sets are investigated and supported by many examples to further clarify the study.

On Generalized β-Open Sets in Ideal Bitopological Space

European Journal of Pure and Applied Mathematics

In this article, we introduce and study the concepts of γij -semi-I-open sets and γij -βI-open se... more In this article, we introduce and study the concepts of γij -semi-I-open sets and γij -βI-open sets by generalizing (i, j)-semi-I-open sets and (ij)-βI-open sets, respectively, in ideal bitopological spaces with an operation γ : τ → P(X). Further, we describe and study (γ, δ)ij -semi-I-continuous and (γ, δ)ij -βI-continuous functions in ideal bitopological spaces and their related notions. In addition, various examples and counterexamples are given for answers to some questions raised in this study.

Some Properties of Fuzzy H-Spaces

JP Journal of Algebra, Number Theory and Applications

Fuzzy Loop Spaces Having Hopf Group Structure

Journal of Selcuk University Natural and Applied Science, 2013

In this paper, some fundamental concepts are given relating to fuzzy homotopy and fuzzy loop spac... more