Hesitant fuzzy graphs and their applications in decision making

Karaaslan, Faruk

doi:10.3233/jifs-18865

Cited by 20 publications

(14 citation statements)

References 32 publications

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“…Sahoo and Pal introduced IF competition graph [40] and explained certain types of edge irregular IF graphs in [42]. Next, Karaaslan [24] exhibited structure of hesitant FGs with their applications in decision making. Recently, Akram et al [3] proposed the concept of CGs under complex fuzzy environment and designed an application of it in ecology.…”

Section: Research Backgroundmentioning

confidence: 99%

Picture fuzzy tolerance graphs with application

Das

Ghorai

Pal

2021

Complex Intell. Syst.

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In this study, the notions of picture fuzzy tolerance graphs, picture fuzzy interval containment graphs and picture fuzzy $$\phi $$ ϕ -tolerance graphs are established. Three special types of picture fuzzy tolerance graphs having bounded representations are introduced and studied corresponding properties of them taking $$\phi $$ ϕ as max, min and sum functions. Also, picture fuzzy proper and unit tolerance graphs are established and some related results are investigated. The class of picture fuzzy $$\phi $$ ϕ -tolerance chaingraphs which is the picture fuzzy $$\phi $$ ϕ -tolerance graphs of a nested family of picture fuzzy intervals are presented. A real-life application in sports competition is modeled using picture fuzzy min-tolerance graph. Also a comparison is given between picture fuzzy tolerance graphs and intuitionistic fuzzy tolerance graphs.

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Section: Research Backgroundmentioning

confidence: 99%

Picture fuzzy tolerance graphs with application

Das

Ghorai

Pal

2021

Complex Intell. Syst.

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“… If we neglect the negative membership degrees of vertices in a network, which represents the satisfaction degrees to some implicit counter property of attribute, then BVHFG reduces to HFG (Karaaslan 2019 ). The concept of bipolar-valued hesitant fuzzy graph differs from the concept of bipolar fuzzy graph in its approach to the definition of 13.…”

Section: Bipolar-valued Hesitant Fuzzy Graphmentioning

confidence: 99%

Section: Bipolar-valued Hesitant Fuzzy Graphmentioning

confidence: 99%

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Bipolar-valued hesitant fuzzy graph and its application

Pandey

Ranadive

Samanta³

2021

Soc. Netw. Anal. Min.

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In the real-world scenario, one has to find a dominating person in a social network, conferences, meetings or any group discussion. The fuzzy graph (network) is one of the most powerful tools to find the strongest influential person in a network. This paper aims to develop a concept of fuzzy graphs (FGs) in the setup of bipolar-valued hesitant fuzzy sets (BVHFs). The concept of bipolar-valued hesitant fuzzy graph (BVHFG) is different from the concept of bipolar fuzzy graph (BFG). BVHFG is the generalization of hesitant fuzzy graph (HFG), which not only considers the satisfaction degree of units in a network but also considers the satisfaction degree to some implicit counter property of units with several bipolar fuzzy values. We first introduce the definition of BVHFG, represented by another class of imprecise membership grades that refers to BVHF membership grades. We shall subsequently see the scope of BVHF membership grades in BVHFG is greater than the scope of bipolar-valued membership grades in BFG. In addition, we also discuss the basic operations and functional properties of BVHFGs. Finally, we propose a numerical method to find the most dominating person using our proposed work. As the proposed method of ranking considers the degree of hesitation as well as bipolarity, this method has the edge over earlier work. To establish the importance of our method, we also find domination degrees for HFG and BVHFG using the same example and show that there is a significant change in the ranking of dominating persons.

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“…The fuzzy sets give the degree of membership, while HFSs give all the possible degrees of membership, which are independent from each other. A different perspective than the current one, of HFS in graph theory and decision making is presented in [9][10][11][12][13]. In this paper, the notion of hesitant fuzzy graphs (HFG) is discussed in general and broader prospective.…”

Section: Introductionmentioning

confidence: 99%

Hesitant Fuzzy Graphs and Their Products

Javaid

Kashif

Rashid

2020

Fuzzy Information and Engineering

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In this article, the notion of hesitant fuzzy graph is introduced. It an extended structure of a fuzzy graph that gives more precision, flexibility and compatibility to a system when compared with the system that is designed using fuzzy graphs. Several operations on hesitant fuzzy graphs are defined, namely Cartesian product, composition, tensor product and normal product. Furthermore, the relationship between the degree of vertices of the hesitant fuzzy graphs and the hesitant fuzzy graph obtained by their different products is developed. These operations are highly used in computer science, geometry, algebra, operations research, etc.

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Hesitant fuzzy graphs and their applications in decision making

Cited by 20 publications

References 32 publications

Picture fuzzy tolerance graphs with application

Picture fuzzy tolerance graphs with application

Bipolar-valued hesitant fuzzy graph and its application

Hesitant Fuzzy Graphs and Their Products

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