A novel Complex q-rung orthopair fuzzy Yager aggregation operators and their applications in environmental engineering
Improving human health and comfort in buildings requires efficient temperature regulation. Temperature control system has a significant contribution in minimizing the impact of climate change. Temperature control system is used in industry to control temperature. The polar form of complex Pythagorea...
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Elsevier
2025-01-01
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| Online Access: | http://www.sciencedirect.com/science/article/pii/S2405844025000489 |
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| author | Jabbar Ahmmad Tahir Mahmood Dragan Pamucar Hafiz Muhammad Waqas |
| author_facet | Jabbar Ahmmad Tahir Mahmood Dragan Pamucar Hafiz Muhammad Waqas |
| author_sort | Jabbar Ahmmad |
| collection | DOAJ |
| description | Improving human health and comfort in buildings requires efficient temperature regulation. Temperature control system has a significant contribution in minimizing the impact of climate change. Temperature control system is used in industry to control temperature. The polar form of complex Pythagorean fuzzy set is a limited notion because when decision makers take the value for membership degree as 0.71+ι0.81 then we can observe that the basic condition for complex Pythagorean fuzzy set fails to hold that is r=0.712+0.812=1.3661∉[0,1]. Moreover, we can observe that the Cartesian form of a complex Pythagorean fuzzy set is also a limited notion because it can never discus advance data. Hence keeping in mind these limitations of the existing notions, in this article, we have explored the Cartesian form of a complex q-rung orthopair fuzzy set. Moreover, we have developed the Yager operational laws based on a Cartesian form of complex q-rung orthopair fuzzy set. We have introduced aggregation theory named complex q-rung orthopair fuzzy Yager weighted average and complex q-rung orthopair fuzzy Yager weighted geometric aggregation operators in Cartesian form. Based on these aggregation operators, we have initiated a multi-attribute group decision-making (MAGDM) approach to define the reliability and authenticity of the developed theory. Furthermore, we have utilized this device algorithm in the selection of a temperature control system. The comparative study of the delivered approach shows the advancement and superiority of the delivered approach. |
| format | Article |
| id | doaj-art-39f798df5e654e6d869f1760594ec69c |
| institution | Kabale University |
| issn | 2405-8440 |
| language | English |
| publishDate | 2025-01-01 |
| publisher | Elsevier |
| record_format | Article |
| series | Heliyon |
| spelling | doaj-art-39f798df5e654e6d869f1760594ec69c2025-01-17T04:51:52ZengElsevierHeliyon2405-84402025-01-01111e41668A novel Complex q-rung orthopair fuzzy Yager aggregation operators and their applications in environmental engineeringJabbar Ahmmad0Tahir Mahmood1Dragan Pamucar2Hafiz Muhammad Waqas3SK-Research-Oxford Business College, Oxford, OX1 2EP, UKDepartment of Mathematics and Statistics, International Islamic University Islamabad, PakistanSzéchenyi István University, Győr, Hungary; Corresponding author.Department of Mathematics and Statistics, International Islamic University Islamabad, PakistanImproving human health and comfort in buildings requires efficient temperature regulation. Temperature control system has a significant contribution in minimizing the impact of climate change. Temperature control system is used in industry to control temperature. The polar form of complex Pythagorean fuzzy set is a limited notion because when decision makers take the value for membership degree as 0.71+ι0.81 then we can observe that the basic condition for complex Pythagorean fuzzy set fails to hold that is r=0.712+0.812=1.3661∉[0,1]. Moreover, we can observe that the Cartesian form of a complex Pythagorean fuzzy set is also a limited notion because it can never discus advance data. Hence keeping in mind these limitations of the existing notions, in this article, we have explored the Cartesian form of a complex q-rung orthopair fuzzy set. Moreover, we have developed the Yager operational laws based on a Cartesian form of complex q-rung orthopair fuzzy set. We have introduced aggregation theory named complex q-rung orthopair fuzzy Yager weighted average and complex q-rung orthopair fuzzy Yager weighted geometric aggregation operators in Cartesian form. Based on these aggregation operators, we have initiated a multi-attribute group decision-making (MAGDM) approach to define the reliability and authenticity of the developed theory. Furthermore, we have utilized this device algorithm in the selection of a temperature control system. The comparative study of the delivered approach shows the advancement and superiority of the delivered approach.http://www.sciencedirect.com/science/article/pii/S2405844025000489Cartesian form of complex q-rung orthopair fuzzy setTemperature control systemsEnvironmental engineeringYager aggregation operators |
| spellingShingle | Jabbar Ahmmad Tahir Mahmood Dragan Pamucar Hafiz Muhammad Waqas A novel Complex q-rung orthopair fuzzy Yager aggregation operators and their applications in environmental engineering Heliyon Cartesian form of complex q-rung orthopair fuzzy set Temperature control systems Environmental engineering Yager aggregation operators |
| title | A novel Complex q-rung orthopair fuzzy Yager aggregation operators and their applications in environmental engineering |
| title_full | A novel Complex q-rung orthopair fuzzy Yager aggregation operators and their applications in environmental engineering |
| title_fullStr | A novel Complex q-rung orthopair fuzzy Yager aggregation operators and their applications in environmental engineering |
| title_full_unstemmed | A novel Complex q-rung orthopair fuzzy Yager aggregation operators and their applications in environmental engineering |
| title_short | A novel Complex q-rung orthopair fuzzy Yager aggregation operators and their applications in environmental engineering |
| title_sort | novel complex q rung orthopair fuzzy yager aggregation operators and their applications in environmental engineering |
| topic | Cartesian form of complex q-rung orthopair fuzzy set Temperature control systems Environmental engineering Yager aggregation operators |
| url | http://www.sciencedirect.com/science/article/pii/S2405844025000489 |
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