Complex q-rung orthopair fuzzy competition graphs and their applications
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 benefi...
| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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AIMS Press
2022-03-01
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| Series: | Electronic Research Archive |
| Subjects: | |
| Online Access: | https://www.aimspress.com/article/doi/10.3934/era.2022080?viewType=HTML |
| _version_ | 1811235202557542400 |
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| author | Kifayat Ullah Abrar Hussain Tahir Mahmood Zeeshan Ali Amerah Alabrah Sk. Md. Mizanur Rahman |
| author_facet | Kifayat Ullah Abrar Hussain Tahir Mahmood Zeeshan Ali Amerah Alabrah Sk. Md. Mizanur Rahman |
| author_sort | Kifayat Ullah |
| collection | DOAJ |
| description | 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. |
| first_indexed | 2024-04-12T11:47:01Z |
| format | Article |
| id | doaj.art-4ed958fa5ccb43ccb95e056e11a9334d |
| institution | Directory Open Access Journal |
| issn | 2688-1594 |
| language | English |
| last_indexed | 2024-04-12T11:47:01Z |
| publishDate | 2022-03-01 |
| publisher | AIMS Press |
| record_format | Article |
| series | Electronic Research Archive |
| spelling | doaj.art-4ed958fa5ccb43ccb95e056e11a9334d2022-12-22T03:34:19ZengAIMS PressElectronic Research Archive2688-15942022-03-013041558160510.3934/era.2022080Complex q-rung orthopair fuzzy competition graphs and their applicationsKifayat Ullah0Abrar Hussain1Tahir Mahmood2Zeeshan Ali 3Amerah Alabrah4Sk. Md. Mizanur Rahman51. Department of Mathematics, Riphah Institute of Computing & Applied Sciences (RICAS), Riphah International University (Lahore Campus), Lahore 54000, Pakistan1. Department of Mathematics, Riphah Institute of Computing & Applied Sciences (RICAS), Riphah International University (Lahore Campus), Lahore 54000, Pakistan2. Department of mathematics and statistics, international Islamic university Islamabad, Pakistan2. Department of mathematics and statistics, international Islamic university Islamabad, Pakistan3. Department of Information Systems, College of Computer and Information Sciences, King Saud University, Riyadh 11543, Saudi Arabia4. Information and Communication Engineering Technology, School of Engineering Technology and Applied Science, Centennial College, Toronto, CanadaThis 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.https://www.aimspress.com/article/doi/10.3934/era.2022080?viewType=HTMLcomplex q-rung orthopair fuzzy competitionk-competitionm-competition graphdecision-making problems |
| spellingShingle | Kifayat Ullah Abrar Hussain Tahir Mahmood Zeeshan Ali Amerah Alabrah Sk. Md. Mizanur Rahman Complex q-rung orthopair fuzzy competition graphs and their applications Electronic Research Archive complex q-rung orthopair fuzzy competition k-competition m-competition graph decision-making problems |
| title | Complex q-rung orthopair fuzzy competition graphs and their applications |
| title_full | Complex q-rung orthopair fuzzy competition graphs and their applications |
| title_fullStr | Complex q-rung orthopair fuzzy competition graphs and their applications |
| title_full_unstemmed | Complex q-rung orthopair fuzzy competition graphs and their applications |
| title_short | Complex q-rung orthopair fuzzy competition graphs and their applications |
| title_sort | complex q rung orthopair fuzzy competition graphs and their applications |
| topic | complex q-rung orthopair fuzzy competition k-competition m-competition graph decision-making problems |
| url | https://www.aimspress.com/article/doi/10.3934/era.2022080?viewType=HTML |
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