Complex q-rung orthopair fuzzy competition graphs and their applications

Kifayat Ullah; Abrar Hussain; Tahir Mahmood; Zeeshan Ali; Amerah Alabrah; Sk. Md. Mizanur Rahman; Kifayat Ullah; Abrar Hussain; Tahir Mahmood; Zeeshan Ali; Amerah Alabrah; Sk. Md. Mizanur Rahman

doi:10.3934/era.2022080

Electronic Research Archive

2022, Volume 30, Issue 4: 1558-1605. doi: 10.3934/era.2022080

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Complex q-rung orthopair fuzzy competition graphs and their applications

1.
Department of Mathematics, Riphah Institute of Computing & Applied Sciences (RICAS), Riphah International University (Lahore Campus), Lahore 54000, Pakistan
2.
Department of mathematics and statistics, international Islamic university Islamabad, Pakistan
3.
Department of Information Systems, College of Computer and Information Sciences, King Saud University, Riyadh 11543, Saudi Arabia
4.
Information and Communication Engineering Technology, School of Engineering Technology and Applied Science, Centennial College, Toronto, Canada

Academic Editor: Alain Miranville

Received: 31 December 2021 Revised: 04 March 2022 Accepted: 09 March 2022 Published: 23 March 2022

This manuscript aims to analyze the well-known and massive idea of competition graph (CG) in the presence of a new and dominant technique of complex q-rung orthopair fuzzy (CQROF) setting. The mathematical form of the CQROF setting is more flexible and massive consistent for demonstrating the beneficial option from the collection of objectives during the decision-making process. Additionally, the major concept of in-neighbourhood and out-neighbourhood using CQROF diagraph (CQROFDG) are also invented to enhance the quality of the diagnosed approach. The fundamental theory of CQROF k-competition, CQROF p-competition, CQROF neighbourhood and m-step CQROF neighbourhood graphs are also explored. In the availability of the above-described theories, the basic and significant results for the presented work are obtained to show the compatibility and worth of the invented approaches. To show the practicality of the developed approach, we try to verify the proposed work with the help of various examples. Further, to describe the validity and practicality of the invented work, we diagnosed an application using presented approaches based on the CQROF setting is to enhance the major weakness of the existing approaches. Finally, in the availability of the invented ideas, we discussed the sensitivity analysis of the described approaches.
- complex q-rung orthopair fuzzy competition,
- k-competition,
- m-competition graph,
- decision-making problems
Citation: Kifayat Ullah, Abrar Hussain, Tahir Mahmood, Zeeshan Ali, Amerah Alabrah, Sk. Md. Mizanur Rahman. Complex q-rung orthopair fuzzy competition graphs and their applications[J]. Electronic Research Archive, 2022, 30(4): 1558-1605. doi: 10.3934/era.2022080

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Abstract

This manuscript aims to analyze the well-known and massive idea of competition graph (CG) in the presence of a new and dominant technique of complex q-rung orthopair fuzzy (CQROF) setting. The mathematical form of the CQROF setting is more flexible and massive consistent for demonstrating the beneficial option from the collection of objectives during the decision-making process. Additionally, the major concept of in-neighbourhood and out-neighbourhood using CQROF diagraph (CQROFDG) are also invented to enhance the quality of the diagnosed approach. The fundamental theory of CQROF k-competition, CQROF p-competition, CQROF neighbourhood and m-step CQROF neighbourhood graphs are also explored. In the availability of the above-described theories, the basic and significant results for the presented work are obtained to show the compatibility and worth of the invented approaches. To show the practicality of the developed approach, we try to verify the proposed work with the help of various examples. Further, to describe the validity and practicality of the invented work, we diagnosed an application using presented approaches based on the CQROF setting is to enhance the major weakness of the existing approaches. Finally, in the availability of the invented ideas, we discussed the sensitivity analysis of the described approaches.

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