Interval-Valued Fuzzy Soft Graphs

Zihni, Onur; Çelik, Yıldıray; Kara, Guven

doi:10.1515/taa-2017-0004

Cited by 5 publications

(3 citation statements)

References 25 publications

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“…Later, Akram and Nawaz [3] studied different types of fuzzy soft graphs. Zihni et al [22] gave the concept of interval-valued fuzzy soft graph and examined its basic properties. C ¸elik [10] gave the concept of bipolar fuzzy soft graph and investigated some operations on this concept.…”

Section: Introductionmentioning

confidence: 99%

Renewed structure of neutrosophic soft graphs and its application in decision-making problem

ÇELİK

2023

Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.

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This study is designed with the renewed concept of neutrosophic soft graph (briefly ns-graph) which is a combination of graphs and neutrosophic soft sets. We re-define notions of ns-graphs and ns-subgraphs with the different perspective from the study in [4]. Also, we introduce some new operations on ns-graphs and detailed them with convenient examples. Moreover, we present an application of ns-graphs to determine of optimal object by using given data with the help of an algorithm. This algorithm we developed is new inventiveness domain for problems which are involving uncertainty, and effectively finds the optimal result between the states where vagueness exists. We also provide a comparative analysis with the existing method given in [4].

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Section: Introductionmentioning

confidence: 99%

Renewed structure of neutrosophic soft graphs and its application in decision-making problem

ÇELİK

2023

Commun. Fac. Sci. Univ. Ank. Ser. A1 Math. Stat.

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“…Certain types of m-polar IVFGs were proposed by [16]. Zihni et al [17] introduced IVF soft graphs. IVFGs are of the FG family and have many abilities when involved with issues that FGs and VGs cannot explain.…”

Section: Introductionmentioning

confidence: 99%

A Novel Concept of Level Graph in Interval-Valued Fuzzy Graphs with Application

Rao,

Lei,

Talebi

et al. 2023

Symmetry

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Many problems of practical interest can be modeled and solved by using interval-valued fuzzy graph (IVFG) algorithms. An IVFG is a very useful and effective tool for studying various calculations, fields of intelligence, and computer science, such as networking, imaging, and other fields, such as biological sciences. In different applications, they present an appropriate construction means. There were limitations in the definition of fuzzy graphs (FGs), which prompted us to propose a new definition for IVFGs. Some interesting properties related to the new IVFGs are investigated, and enough conditions under which the level graph on IVFGs is equivalent are obtained. Therefore, in this study, we present the properties of a level graph (LG) of an IVFG, and four operations, the Cartesian product (CP), composition (CO), union, and join, are investigated on it. Today, in a treatment system, one of the issues that can be very valuable and important to the quality of service to patients is finding qualified and efficient people in each department, which is not an easy task. But the interval-valued fuzzy graph, as an important fuzzy graph, can help us by considering the ability of each person in the form of intervals of numbers and the effectiveness of each one on the other (according to the relationships between them) in order to find the most worthy people. So, an application of IVFG to find the most effective person in a hospital information system has been introduced.

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“…Bera et al [27] proposed certain types of m-polar interval-valued fuzzy graphs. Zihni et al [28] introduced interval-valued fuzzy soft graphs. Akram et al [29][30][31] introduced the concept of interval-valued fuzzy line graphs, self-centered interval-valued fuzzy graphs, and certain types of interval-valued fuzzy graphs.…”

Section: Introductionmentioning

confidence: 99%

A Study on Interval‐Valued Fuzzy Graph with Application in Energy Industry Management

Qiang

Xiao

Khan

et al. 2022

Discrete Dynamics in Nature and Society

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In this paper, we define the concept of level graphs on interval-valued fuzzy graphs (IVFGs) and introduce the notions of α , β − α , β − homomorphism, isomorphism, weak isomorphism, and co-weak isomorphism of IVFGs by α , β − homomorphism. Also, an application of homomorphism of IVFGs has been presented by using coloring-FG.

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Interval-Valued Fuzzy Soft Graphs

Cited by 5 publications

References 25 publications

Renewed structure of neutrosophic soft graphs and its application in decision-making problem

Renewed structure of neutrosophic soft graphs and its application in decision-making problem

A Novel Concept of Level Graph in Interval-Valued Fuzzy Graphs with Application

A Study on Interval‐Valued Fuzzy Graph with Application in Energy Industry Management

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