Choquet-Integral Aggregation Operators Based on Hamacher t-Norm and t-Conorm for Complex Intuitionistic Fuzzy TOPSIS Technique to Deal With Socio-Economic Problems
Social and economic factors, such as education, employment, social support, income, and community safety, can directly affect how well and long we live. Under the presence of the above factors, we easily look at health decisions, afford medical care and housing, manage stress, and so on. In this ana...
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| Format: | Article |
| Language: | English |
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IEEE
2024-01-01
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| Series: | IEEE Access |
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| Online Access: | https://ieeexplore.ieee.org/document/10373015/ |
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| author | Abdulgawad A. Q. Al-Qubati Lemnaouar Zedam Kifayat Ullah Hadba Flah Al-Qahtani |
| author_facet | Abdulgawad A. Q. Al-Qubati Lemnaouar Zedam Kifayat Ullah Hadba Flah Al-Qahtani |
| author_sort | Abdulgawad A. Q. Al-Qubati |
| collection | DOAJ |
| description | Social and economic factors, such as education, employment, social support, income, and community safety, can directly affect how well and long we live. Under the presence of the above factors, we easily look at health decisions, afford medical care and housing, manage stress, and so on. In this analysis, we derive the Choquet-integral aggregation operators based on Hamacher t-norm and t-conorm for complex Atanassov intuitionistic fuzzy (CAIF) such as CAIF Choquet-integral Hamacher averaging (CAIFCIHA), CAIF Choquet-integral Hamacher ordered averaging (CAIFCIHOA), CAIF Choquet-integral Hamacher geometric (CAIFCIHG), CAIF Choquet-integral Hamacher ordered geometric (CAIFCIHOG) operators and exposed their properties. Additionally, we discover the Technique for Order Preference by Similarity to the Ideal Solution “TOPSIS” technique under the consideration of the above-derived theory. Moreover, it is very famous and interesting to note that various unpredicted factors such as road, diesel prices, weather, and traffic conditions affect the cost of transportation. Therefore, decision-makers deal with vague and unreliable information to estimate the cost of transportation. To evaluate the above problem, we select a transportation problem with CAIF parameters, and for its evaluation, a simple and well-known computational technique is derived and illustrated. Finally, we compared our derived results with some prevailing results to show the worth and reliability of the exposed approaches. |
| first_indexed | 2024-03-08T14:39:41Z |
| format | Article |
| id | doaj.art-72a9ab96132d470c91ac94a431889798 |
| institution | Directory Open Access Journal |
| issn | 2169-3536 |
| language | English |
| last_indexed | 2024-03-08T14:39:41Z |
| publishDate | 2024-01-01 |
| publisher | IEEE |
| record_format | Article |
| series | IEEE Access |
| spelling | doaj.art-72a9ab96132d470c91ac94a4318897982024-01-12T00:01:55ZengIEEEIEEE Access2169-35362024-01-01123098311310.1109/ACCESS.2023.334649910373015Choquet-Integral Aggregation Operators Based on Hamacher t-Norm and t-Conorm for Complex Intuitionistic Fuzzy TOPSIS Technique to Deal With Socio-Economic ProblemsAbdulgawad A. Q. Al-Qubati0Lemnaouar Zedam1https://orcid.org/0000-0002-1420-9249Kifayat Ullah2https://orcid.org/0000-0002-1438-6413Hadba Flah Al-Qahtani3Department of Mathematics, College of Sciences and Arts, Najran University, Najran, Saudi ArabiaDepartment of Mathematics, Laboratory of Pure and Applied Mathematics, University of M’sila, M’sila, AlgeriaDepartment of Mathematics, Riphah International University (Lahore Campus), Lahore, PakistanDepartment of Mathematics, College of Sciences and Arts, Najran University, Najran, Saudi ArabiaSocial and economic factors, such as education, employment, social support, income, and community safety, can directly affect how well and long we live. Under the presence of the above factors, we easily look at health decisions, afford medical care and housing, manage stress, and so on. In this analysis, we derive the Choquet-integral aggregation operators based on Hamacher t-norm and t-conorm for complex Atanassov intuitionistic fuzzy (CAIF) such as CAIF Choquet-integral Hamacher averaging (CAIFCIHA), CAIF Choquet-integral Hamacher ordered averaging (CAIFCIHOA), CAIF Choquet-integral Hamacher geometric (CAIFCIHG), CAIF Choquet-integral Hamacher ordered geometric (CAIFCIHOG) operators and exposed their properties. Additionally, we discover the Technique for Order Preference by Similarity to the Ideal Solution “TOPSIS” technique under the consideration of the above-derived theory. Moreover, it is very famous and interesting to note that various unpredicted factors such as road, diesel prices, weather, and traffic conditions affect the cost of transportation. Therefore, decision-makers deal with vague and unreliable information to estimate the cost of transportation. To evaluate the above problem, we select a transportation problem with CAIF parameters, and for its evaluation, a simple and well-known computational technique is derived and illustrated. Finally, we compared our derived results with some prevailing results to show the worth and reliability of the exposed approaches.https://ieeexplore.ieee.org/document/10373015/Complex intuitionistic fuzzy setschoquet-integral aggregation operatorsHamacher t-norm and t-conormTOPSIS techniquesocio-economic problems |
| spellingShingle | Abdulgawad A. Q. Al-Qubati Lemnaouar Zedam Kifayat Ullah Hadba Flah Al-Qahtani Choquet-Integral Aggregation Operators Based on Hamacher t-Norm and t-Conorm for Complex Intuitionistic Fuzzy TOPSIS Technique to Deal With Socio-Economic Problems IEEE Access Complex intuitionistic fuzzy sets choquet-integral aggregation operators Hamacher t-norm and t-conorm TOPSIS technique socio-economic problems |
| title | Choquet-Integral Aggregation Operators Based on Hamacher t-Norm and t-Conorm for Complex Intuitionistic Fuzzy TOPSIS Technique to Deal With Socio-Economic Problems |
| title_full | Choquet-Integral Aggregation Operators Based on Hamacher t-Norm and t-Conorm for Complex Intuitionistic Fuzzy TOPSIS Technique to Deal With Socio-Economic Problems |
| title_fullStr | Choquet-Integral Aggregation Operators Based on Hamacher t-Norm and t-Conorm for Complex Intuitionistic Fuzzy TOPSIS Technique to Deal With Socio-Economic Problems |
| title_full_unstemmed | Choquet-Integral Aggregation Operators Based on Hamacher t-Norm and t-Conorm for Complex Intuitionistic Fuzzy TOPSIS Technique to Deal With Socio-Economic Problems |
| title_short | Choquet-Integral Aggregation Operators Based on Hamacher t-Norm and t-Conorm for Complex Intuitionistic Fuzzy TOPSIS Technique to Deal With Socio-Economic Problems |
| title_sort | choquet integral aggregation operators based on hamacher t norm and t conorm for complex intuitionistic fuzzy topsis technique to deal with socio economic problems |
| topic | Complex intuitionistic fuzzy sets choquet-integral aggregation operators Hamacher t-norm and t-conorm TOPSIS technique socio-economic problems |
| url | https://ieeexplore.ieee.org/document/10373015/ |
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