Evaluation of public bus transport service quality based on circular Pythagorean fuzzy soft Einstein aggregation operators
Abstract In this article, we introduce the technique of circular Pythagorean fuzzy soft (CPFS) sets and their reliable properties, such as algebraic optional laws and Einstein operational laws. We further develop the CPFS Einstein weighted averaging (CPFSEWA) operator and the CPFS Einstein weighted...
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| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Springer
2025-05-01
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| Series: | Complex & Intelligent Systems |
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| Online Access: | https://doi.org/10.1007/s40747-025-01864-2 |
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| author | Zeeshan Ali Muhammad Waqas Sarbast Moslem Tapan Senapati Domokos Esztergár-Kiss |
| author_facet | Zeeshan Ali Muhammad Waqas Sarbast Moslem Tapan Senapati Domokos Esztergár-Kiss |
| author_sort | Zeeshan Ali |
| collection | DOAJ |
| description | Abstract In this article, we introduce the technique of circular Pythagorean fuzzy soft (CPFS) sets and their reliable properties, such as algebraic optional laws and Einstein operational laws. We further develop the CPFS Einstein weighted averaging (CPFSEWA) operator and the CPFS Einstein weighted geometric (CPFSEWG) operator, highlighting their fundamental properties. Additionally, we integrate the evaluation based on the distance from average solution (EDAS) method with the CPFSEWA and CPFSEWG operators, illustrated through relevant examples. The multi-attribute decision-making (MADM) method is applied using the proposed techniques, enhancing the evaluation process of public bus transport service quality. Specifically, the Dublin Bus 16 route is analyzed, focusing on criteria such as reliability, speed, approachability, directness, and time availability. Our methodology evaluates various alternatives, including the purchase of new buses, relocation of bus stops, changes in timetables, introduction of new bus lines, and improvement in driver training. Finally, we compare the proposed ranking values with those from existing techniques, demonstrating the flexibility and proficiency of the CPFS-based approach. This comprehensive evaluation aims to provide policymakers and operators with robust tools for improving public transport services. |
| format | Article |
| id | doaj-art-463e6d32e895425db43b8f1f03c063a7 |
| institution | OA Journals |
| issn | 2199-4536 2198-6053 |
| language | English |
| publishDate | 2025-05-01 |
| publisher | Springer |
| record_format | Article |
| series | Complex & Intelligent Systems |
| spelling | doaj-art-463e6d32e895425db43b8f1f03c063a72025-08-20T01:51:41ZengSpringerComplex & Intelligent Systems2199-45362198-60532025-05-0111613210.1007/s40747-025-01864-2Evaluation of public bus transport service quality based on circular Pythagorean fuzzy soft Einstein aggregation operatorsZeeshan Ali0Muhammad Waqas1Sarbast Moslem2Tapan Senapati3Domokos Esztergár-Kiss4Department of Information Management, National Yunlin University of Science and TechnologyDepartment of Mathematics and Statistics, Riphah International UniversityDepartment of Civil, Structural and Environmental Engineering, Trinity College Dublin, the University of DublinSchool of Mathematics and Statistics, Southwest UniversityDepartment of Transport Technology and Economics, Faculty of Transportation Engineering and Vehicle Engineering, Budapest University of Technology and EconomicsAbstract In this article, we introduce the technique of circular Pythagorean fuzzy soft (CPFS) sets and their reliable properties, such as algebraic optional laws and Einstein operational laws. We further develop the CPFS Einstein weighted averaging (CPFSEWA) operator and the CPFS Einstein weighted geometric (CPFSEWG) operator, highlighting their fundamental properties. Additionally, we integrate the evaluation based on the distance from average solution (EDAS) method with the CPFSEWA and CPFSEWG operators, illustrated through relevant examples. The multi-attribute decision-making (MADM) method is applied using the proposed techniques, enhancing the evaluation process of public bus transport service quality. Specifically, the Dublin Bus 16 route is analyzed, focusing on criteria such as reliability, speed, approachability, directness, and time availability. Our methodology evaluates various alternatives, including the purchase of new buses, relocation of bus stops, changes in timetables, introduction of new bus lines, and improvement in driver training. Finally, we compare the proposed ranking values with those from existing techniques, demonstrating the flexibility and proficiency of the CPFS-based approach. This comprehensive evaluation aims to provide policymakers and operators with robust tools for improving public transport services.https://doi.org/10.1007/s40747-025-01864-2Public bus transport service qualityCircular Pythagorean fuzzy soft setsEDAS techniqueEinstein aggregation operatorsMulti-attribute decision-making |
| spellingShingle | Zeeshan Ali Muhammad Waqas Sarbast Moslem Tapan Senapati Domokos Esztergár-Kiss Evaluation of public bus transport service quality based on circular Pythagorean fuzzy soft Einstein aggregation operators Complex & Intelligent Systems Public bus transport service quality Circular Pythagorean fuzzy soft sets EDAS technique Einstein aggregation operators Multi-attribute decision-making |
| title | Evaluation of public bus transport service quality based on circular Pythagorean fuzzy soft Einstein aggregation operators |
| title_full | Evaluation of public bus transport service quality based on circular Pythagorean fuzzy soft Einstein aggregation operators |
| title_fullStr | Evaluation of public bus transport service quality based on circular Pythagorean fuzzy soft Einstein aggregation operators |
| title_full_unstemmed | Evaluation of public bus transport service quality based on circular Pythagorean fuzzy soft Einstein aggregation operators |
| title_short | Evaluation of public bus transport service quality based on circular Pythagorean fuzzy soft Einstein aggregation operators |
| title_sort | evaluation of public bus transport service quality based on circular pythagorean fuzzy soft einstein aggregation operators |
| topic | Public bus transport service quality Circular Pythagorean fuzzy soft sets EDAS technique Einstein aggregation operators Multi-attribute decision-making |
| url | https://doi.org/10.1007/s40747-025-01864-2 |
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