Dalan Yildirim, Esra
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Name Variants
Esra Dalan Yildirim
Job Title
Doç.Dr.
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Main Affiliation
01.01.02.02. Matematik Bölümü
Status
Current Staff
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Documents
12
Citations
86
h-index
5
Documents
12
Citations
75
Scholarly Output
24
Articles
24
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0/0
Supervised MSc Theses
0
Supervised PhD Theses
0
WoS Citation Count
75
Scopus Citation Count
86
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0
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0
WoS Citations per Publication
3.13
Scopus Citations per Publication
3.58
Open Access Source
7
Supervised Theses
0
| Journal | Count |
|---|---|
| Turkish Journal of Mathematics | 3 |
| Journal of Nonlinear Sciences and Applications | 2 |
| Filomat | 2 |
| Journal of Mathematics | 2 |
| Missouri Journal of Mathematical Sciences | 2 |
Current Page: 1 / 3
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24 results
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Article Some new approaches to neighborhoods via graphs(Springer Science and Business Media Deutschland GmbH, 2023) Aysegül Çaksu Güler; Esra Dalan Yildirim; Oya Bedre ÖzbakırThis paper aims to increase the accuracy measure of the subgraph of a graph and generate new nano topologies on the power set of vertices and edges of a graph. Firstly we introduce Ej-neighborhoods and Cj-neighborhoods which depend on vertices and edges of a simple directed graph by using j-neighborhoods for j∈ { out in ∩ ∪ }. Then we apply these neighborhoods to present the concepts of Ej-approximations and Cj-approximations. We investigate their main properties and relationships among them. Besides we define the accuracy measures of a subgraph with the help of these approximations and show that Cj-accuracy measures are the highest when we compare these accuracy measures with the previous one. Furthermore we generate new nano topologies via obtained approximations and illustrate that these topologies may not be comparable. Finally we give an application in physics to elucidate the current approximations are more general. Throughout the paper we summarize all comparisons with tables and give counterexamples to support the study. © 2023 Elsevier B.V. All rights reserved.Article Citation - WoS: 2Citation - Scopus: 2Some new approaches to neighborhoods via graphs(SPRINGER, 2023) A. C. Guler; E. D. Yildirim; O. B. Ozbakir; Yildirim, E.D.; Güler, A.Ç.; Özbakir, O.B.This paper aims to increase the accuracy measure of the subgraph of a graph and generate new nano topologies on the power set of vertices and edges of a graph. Firstly we introduce Ej-neighborhoods and Cj-neighborhoods which depend on vertices and edges of a simple directed graph by using j-neighborhoods for j E {out in n U}. Then we apply these neighborhoods to present the concepts of Ej-approximations and Cj-approximations. We investigate their main properties and relationships among them. Besides we define the accuracy measures of a subgraph with the help of these approximations and show that Cj-accuracy measures are the highest when we compare these accuracy measures with the previous one. Furthermore we generate new nano topologies via obtained approximations and illustrate that these topologies may not be comparable. Finally we give an application in physics to elucidate the current approximations are more general. Throughout the paper we summarize all with tables and to theArticle Citation - WoS: 2Citation - Scopus: 1MINIMAL INTUITIONISTIC OPEN AND MAXIMAL INTUITIONISTIC OPEN SETS(YILDIZ TECHNICAL UNIV, 2020) Esra Dalan Yildirim; Aysegul Caksu Guler; Oya Bedre Ozbakir; Bedre Özbakir, Oya; Dalan Yildirim, Esra; Çaksu Güler, AyşegülIn intuitionistic topological space we introduce the concepts of minimal intuitionistic open and maximal intuitionistic open sets. Also we give some of their basic properties. Regarding these sets we introduce and study some generalizations of intuitionistic continuous functions.Article Citation - WoS: 13Citation - Scopus: 12New Topological Approaches to Rough Sets via Subset Neighborhoods(WILEY, 2022) Esra Dalan Yildirim; Yildirim, Esra Dalan; Dalan Yildirim, EsraThis paper aims to obtain new types of approximations by using topological concepts. Firstly different kinds of topologies are generated by subset neighborhoods and relationships between them are studied. Then j-subset approximations based on these topologies are introduced and their basic properties are examined. In addition to this S-j-near open and theta beta(Sj)-open sets are defined and the connections among them are given. Later new approximations are presented with the help of the aforementioned sets and their main properties are investigated. Furthermore the proposed approximations are compared both with themselves and with the previous one. From this it is shown that the approximations based on theta beta(Sj)-open sets are more accurate than those based on S-j-open and S-j-near open sets under arbitrary binary relation and than those based on j-open sets under similarity relation. Finally a real-life problem related to COVID-19 is addressed to highlight the importance of applying the proposed approximations.Article Some results on strong generalized neighborhood systems(Charles Babbage Research Centre, 2012) Oya Bedre Özbakır; Esra Dalan YildirimThe aim of our paper is to introduce generalized neighborhood bases and gn -T2-spaces. (ψ)(ψ')-continuity sequentially (ψ ψ)-continuity and ψ-convergency are investigated on strong generalized first countable spaces and also two results about ψ-convergency on gn -T2-spaces are given. generalized topologies generalized neighborhood bases strong generalized first countable spaces gn -T 2-spaces. © 2023 Elsevier B.V. All rights reserved.Article MINIMAL INTUITIONISTIC OPEN AND MAXIMAL INTUITIONISTIC OPEN SETS(Yildiz Technical University, 2020) Esra Dalan Yildirim; Aysegül Çaksu Güler; Oya Bedre ÖzbakirIn intuitionistic topological space we introduce the concepts of minimal intuitionistic open and maximal intuitionistic open sets. Also we give some of their basic properties. Regarding these sets we introduce and study some generalizations of intuitionistic continuous functions. © 2023 Elsevier B.V. All rights reserved.Article Different types of approximation operators on Gn-CAS via ideals(UNIV NIS FAC SCI MATH, 2024) Oya Bedre Ozbakir; Esra Dalan Yildirim; Aysegul Caksu GulerA mathematical approach to dealing with the problems of ambiguity and indeterminacy in knowledge is called a rough set theory. It begins by using an equivalence relation to divide the universe into parts. Numerous generalized rough set models have been developed and investigated to increase their adaptability and extend their range of applications. In this context we introduce new generalized rough set models that are inspired by covering-based rough sets and ideals. In this paper lower and upper approximations of new types of covering rough sets based on j-neighborhoods complementary j-neighborhoods and j-adhesions are defined via ideals. The main features of these approximations are examined. The relationships among them are given by various examples and propositions. Some comparisons between our methods and others' methods such as Abd El-Monsef et al.'s method [2] and Nawar et al.'s method [22] are given. A practical example is given to illustrate one of our methods is more precise.Article Rough approximations based on different topologies via ideals(TUBITAK, 2022) Aysegül Çaksu Güler; Esra Dalan Yildirim; Oya Bedre ÖzbakırIn this paper we generalize the notations of rough sets based on the topological space. Firstly we produce various topologies by using the concept of ideal Cj -neighbourhoods and Pj -neighbourhoods. When we compare these topologies with previous topologies we see that these topologies are more general. Then we introduce new methods to find the approximations by using these generated topologies. When we compare these methods with the previous methods we see that these methods are more accurate. © 2024 Elsevier B.V. All rights reserved.Article Citation - WoS: 4Citation - Scopus: 3μ-Proximity structure via hereditary classes(Maejo University, 2021) Esra Dalan Yildirim; Yildirim, Esra DalanA new generalised μ-proximity structure is obtained using hereditary class on a set. © 2021 Elsevier B.V. All rights reserved.Article Some Fixed Point Theorems on $b$-$\\theta$-metric spaces via $b$-simulation Functions(2021) Esra Dalan Yıldırım; Aysegul Caksu Guler; Oya Ozbakir; Yıldırım, Esra Dalan; Guler, Aysegul Caksu; Ozbakir, OyaWe introduce the concept of $b$-$\\theta$-metric space as a generalization of $\\theta$-metric space and investigate some of its properties. Then we establish a fixed point theorem in $b$-$\\theta$-metric spaces via $b$-simulation functions. Thus we deduce Banach type fixed point in such spaces. Also we discuss some fixed point results in relation to existing ones.
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