More on complex hesitant fuzzy graphs

AbdUlazeez Alkouri; Eman A. AbuHijleh; Ghada Alafifi; Eman Almuhur; Fadi M. A. Al-Zubi; AbdUlazeez Alkouri; Eman A. AbuHijleh; Ghada Alafifi; Eman Almuhur; Fadi M. A. Al-Zubi

doi:10.3934/math.20231554

AIMS Mathematics

2023, Volume 8, Issue 12: 30429-30444. doi: 10.3934/math.20231554

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More on complex hesitant fuzzy graphs

1.
Science College, Ajloun National University, Ajloun, Jordan
2.
Al-Zarqa University College, Al-Balqa Applied University, Zarqa 313, Jordan; emanhijleh@bau.edu.jo
3.
Science College, Philadelphia University, Amman, Jordan; gafifi@philadelphia.edu.jo
4.
Faculty of Arts and Science, Applied Science Private University, Amman, Jordan; E_almuhur@asu.edu.jo
5.
College of Natural and Health Sciences, Zayed University, Abu Dhabi, United Arab Emirates; Fadi.al-Zubi@zu.ac.ae

Received: 08 September 2023 Revised: 25 October 2023 Accepted: 01 November 2023 Published: 09 November 2023
MSC : 05C07, 05C76, 94D05

Correctly determining a company's market worth during an entire year or a certain period presents a difficulty to decision-makers. In the case of the merger of companies, the need performs heavier when both the companies' owners are attracted to establishing a fair price at the optimal time to merge. The effectiveness of representing, connecting and manipulating both uncertainty and periodicity information becomes highly required. Hence, study and nhance some properties and conditions of the algebraic structure of complex hesitant fuzzy graphs. Therefore, the degree of composition between two complex hesitant fuzzy graphs is proposed. Also, the formal definitions of union, joint and complement are presented to be covered in the realm of complex hesitant fuzzy graphs. A real-life application is illustrated to show the relation between vertices and edges in the form of complex hesitant fuzzy graphs.
Citation: AbdUlazeez Alkouri, Eman A. AbuHijleh, Ghada Alafifi, Eman Almuhur, Fadi M. A. Al-Zubi. More on complex hesitant fuzzy graphs[J]. AIMS Mathematics, 2023, 8(12): 30429-30444. doi: 10.3934/math.20231554

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Abstract

Correctly determining a company's market worth during an entire year or a certain period presents a difficulty to decision-makers. In the case of the merger of companies, the need performs heavier when both the companies' owners are attracted to establishing a fair price at the optimal time to merge. The effectiveness of representing, connecting and manipulating both uncertainty and periodicity information becomes highly required. Hence, study and nhance some properties and conditions of the algebraic structure of complex hesitant fuzzy graphs. Therefore, the degree of composition between two complex hesitant fuzzy graphs is proposed. Also, the formal definitions of union, joint and complement are presented to be covered in the realm of complex hesitant fuzzy graphs. A real-life application is illustrated to show the relation between vertices and edges in the form of complex hesitant fuzzy graphs.

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