Novel Heronian mean based $ m $-polar fuzzy power geometric aggregation operators and their application to urban transportation management
An $ m $-polar fuzzy ($ m $F) model offers a practical framework for decision-making by providing higher flexibility in handling uncertainties and preferences. The ability of $ m $F sets to tackle multiple reference points permits for a more nuanced analysis, leading to more accurate results in comp...
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AIMS Press
2024-12-01
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| Series: | AIMS Mathematics |
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| Online Access: | https://www.aimspress.com/article/doi/10.3934/math.20241626 |
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| author | Ghous Ali Kholood Alsager |
| author_facet | Ghous Ali Kholood Alsager |
| author_sort | Ghous Ali |
| collection | DOAJ |
| description | An $ m $-polar fuzzy ($ m $F) model offers a practical framework for decision-making by providing higher flexibility in handling uncertainties and preferences. The ability of $ m $F sets to tackle multiple reference points permits for a more nuanced analysis, leading to more accurate results in complex decision scenarios. This study was mainly devoted to introducing three novel aggregation operators (AGOs) for multi-criteria decision-making (MCDM) based on generalized geometric Heronian mean (GGHM) operations comprise the concept of $ m $F sets. The presented operators consisted of the weighted $ m $F power GGHM (W$ m $FPGGHM), ordered weighted $ m $F power GGHM averaging (OW$ m $FPGGHM), and hybrid $ m $F power GGHM (H$ m $FPGGHM) operators. Some essential fundamental properties of the proposed AGOs were investigated: idempotency, monotonicity, boundedness, and Abelian property. Furthermore, an algorithm based on the initiated W$ m $FPGGHM operators was developed to address diverse daily-life MCDM scenarios. Next, to validate the efficiency of the established algorithm, it was implemented in a daily-life MCDM problem involving urban transportation management. At last, a sensitivity analysis of the initiated AGOs was provided with existing $ m $F set-based operators involving Dombi, Yager, and Aczel-Alsina's operations-based AGOs. |
| format | Article |
| id | doaj-art-d6b3f11c49fb4e93b8f51818d6c6f994 |
| institution | Kabale University |
| issn | 2473-6988 |
| language | English |
| publishDate | 2024-12-01 |
| publisher | AIMS Press |
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| series | AIMS Mathematics |
| spelling | doaj-art-d6b3f11c49fb4e93b8f51818d6c6f9942025-01-23T07:53:25ZengAIMS PressAIMS Mathematics2473-69882024-12-01912341093414610.3934/math.20241626Novel Heronian mean based $ m $-polar fuzzy power geometric aggregation operators and their application to urban transportation managementGhous Ali0Kholood Alsager1Department of Mathematics, Division of Science & Technology, University of Education, Lahore, PakistanDepartment of Mathematics, College of Science, Qasim University, Buraydah, Saudi ArabiaAn $ m $-polar fuzzy ($ m $F) model offers a practical framework for decision-making by providing higher flexibility in handling uncertainties and preferences. The ability of $ m $F sets to tackle multiple reference points permits for a more nuanced analysis, leading to more accurate results in complex decision scenarios. This study was mainly devoted to introducing three novel aggregation operators (AGOs) for multi-criteria decision-making (MCDM) based on generalized geometric Heronian mean (GGHM) operations comprise the concept of $ m $F sets. The presented operators consisted of the weighted $ m $F power GGHM (W$ m $FPGGHM), ordered weighted $ m $F power GGHM averaging (OW$ m $FPGGHM), and hybrid $ m $F power GGHM (H$ m $FPGGHM) operators. Some essential fundamental properties of the proposed AGOs were investigated: idempotency, monotonicity, boundedness, and Abelian property. Furthermore, an algorithm based on the initiated W$ m $FPGGHM operators was developed to address diverse daily-life MCDM scenarios. Next, to validate the efficiency of the established algorithm, it was implemented in a daily-life MCDM problem involving urban transportation management. At last, a sensitivity analysis of the initiated AGOs was provided with existing $ m $F set-based operators involving Dombi, Yager, and Aczel-Alsina's operations-based AGOs.https://www.aimspress.com/article/doi/10.3934/math.20241626$ m $-polar fuzzy setspower geometric operatorsheronian meanurban transportationsensitivity analysismulti-criteria decision-making |
| spellingShingle | Ghous Ali Kholood Alsager Novel Heronian mean based $ m $-polar fuzzy power geometric aggregation operators and their application to urban transportation management AIMS Mathematics $ m $-polar fuzzy sets power geometric operators heronian mean urban transportation sensitivity analysis multi-criteria decision-making |
| title | Novel Heronian mean based $ m $-polar fuzzy power geometric aggregation operators and their application to urban transportation management |
| title_full | Novel Heronian mean based $ m $-polar fuzzy power geometric aggregation operators and their application to urban transportation management |
| title_fullStr | Novel Heronian mean based $ m $-polar fuzzy power geometric aggregation operators and their application to urban transportation management |
| title_full_unstemmed | Novel Heronian mean based $ m $-polar fuzzy power geometric aggregation operators and their application to urban transportation management |
| title_short | Novel Heronian mean based $ m $-polar fuzzy power geometric aggregation operators and their application to urban transportation management |
| title_sort | novel heronian mean based m polar fuzzy power geometric aggregation operators and their application to urban transportation management |
| topic | $ m $-polar fuzzy sets power geometric operators heronian mean urban transportation sensitivity analysis multi-criteria decision-making |
| url | https://www.aimspress.com/article/doi/10.3934/math.20241626 |
| work_keys_str_mv | AT ghousali novelheronianmeanbasedmpolarfuzzypowergeometricaggregationoperatorsandtheirapplicationtourbantransportationmanagement AT kholoodalsager novelheronianmeanbasedmpolarfuzzypowergeometricaggregationoperatorsandtheirapplicationtourbantransportationmanagement |