Picture fuzzy Aczel–Alsina power geometric aggregation operators with confidence level and their application to multi-criteria decision-making
Abstract This study proposes a picture fuzzy decision-making framework that incorporates power aggregation operators grounded in Aczel–Alsina operations. These operators are adept at capturing the relationships among multiple criteria, thereby improving the precision of decision-making outcomes. The...
Saved in:
| Main Authors: | , , , , , |
|---|---|
| Format: | Article |
| Language: | English |
| Published: |
Springer
2025-08-01
|
| Series: | Discover Applied Sciences |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/s42452-025-07605-x |
| Tags: |
Add Tag
No Tags, Be the first to tag this record!
|
| _version_ | 1849225976123228160 |
|---|---|
| author | K. Deva K. Marimuthu Nasir Ali S. Senthil Fikadu Tesgera Tolasa Ümit Karabiyik |
| author_facet | K. Deva K. Marimuthu Nasir Ali S. Senthil Fikadu Tesgera Tolasa Ümit Karabiyik |
| author_sort | K. Deva |
| collection | DOAJ |
| description | Abstract This study proposes a picture fuzzy decision-making framework that incorporates power aggregation operators grounded in Aczel–Alsina operations. These operators are adept at capturing the relationships among multiple criteria, thereby improving the precision of decision-making outcomes. The framework also integrates the confidence levels of decision makers based on their familiarity with the evaluated alternatives into the picture fuzzy setting alongside core data. Building on the operational foundations of Aczel–Alsina functions, the research introduces novel confidence-based picture fuzzy Aczel–Alsina power-weighted and ordered-weighted geometric operators, allowing the inclusion of expert knowledge in the aggregation process. Additionally, the mathematical properties and structural features of these new operators are examined in detail. To validate their practical utility, the operators are applied to a multi-criteria decision-making problem in the food industry. Comparative analysis with existing methods demonstrates the enhanced effectiveness of the proposed approach in managing uncertainty and addressing complex decision-making challenges. |
| format | Article |
| id | doaj-art-3dfe5d85deeb4874be372685f550a072 |
| institution | Kabale University |
| issn | 3004-9261 |
| language | English |
| publishDate | 2025-08-01 |
| publisher | Springer |
| record_format | Article |
| series | Discover Applied Sciences |
| spelling | doaj-art-3dfe5d85deeb4874be372685f550a0722025-08-24T11:45:05ZengSpringerDiscover Applied Sciences3004-92612025-08-017911710.1007/s42452-025-07605-xPicture fuzzy Aczel–Alsina power geometric aggregation operators with confidence level and their application to multi-criteria decision-makingK. Deva0K. Marimuthu1Nasir Ali2S. Senthil3Fikadu Tesgera Tolasa4Ümit Karabiyik5Department of Mathematics, Vel Tech High Tech Dr. Rangarajan Dr. Sankunthala Engineering CollegeDepartment of Mathematics, Vel Tech High Tech Dr. Rangarajan Dr. Sankunthala Engineering CollegeDepartment of Mathematics, COMSATS University Islamabad, Vehari CampusFaculty of Mathematics, Department of Science and Humanities, R.M.K. Engineering CollegeDepartment of Mathematics, Dambi Dollo UniversityDepartment of Mathematics and Computer Science, Necmettin Erbakan UniversityAbstract This study proposes a picture fuzzy decision-making framework that incorporates power aggregation operators grounded in Aczel–Alsina operations. These operators are adept at capturing the relationships among multiple criteria, thereby improving the precision of decision-making outcomes. The framework also integrates the confidence levels of decision makers based on their familiarity with the evaluated alternatives into the picture fuzzy setting alongside core data. Building on the operational foundations of Aczel–Alsina functions, the research introduces novel confidence-based picture fuzzy Aczel–Alsina power-weighted and ordered-weighted geometric operators, allowing the inclusion of expert knowledge in the aggregation process. Additionally, the mathematical properties and structural features of these new operators are examined in detail. To validate their practical utility, the operators are applied to a multi-criteria decision-making problem in the food industry. Comparative analysis with existing methods demonstrates the enhanced effectiveness of the proposed approach in managing uncertainty and addressing complex decision-making challenges.https://doi.org/10.1007/s42452-025-07605-xMulti-criteria decision-makingPicture fuzzy setAczel–Alsina t-norms and t-conormsPower aggregation operatorFood industry |
| spellingShingle | K. Deva K. Marimuthu Nasir Ali S. Senthil Fikadu Tesgera Tolasa Ümit Karabiyik Picture fuzzy Aczel–Alsina power geometric aggregation operators with confidence level and their application to multi-criteria decision-making Discover Applied Sciences Multi-criteria decision-making Picture fuzzy set Aczel–Alsina t-norms and t-conorms Power aggregation operator Food industry |
| title | Picture fuzzy Aczel–Alsina power geometric aggregation operators with confidence level and their application to multi-criteria decision-making |
| title_full | Picture fuzzy Aczel–Alsina power geometric aggregation operators with confidence level and their application to multi-criteria decision-making |
| title_fullStr | Picture fuzzy Aczel–Alsina power geometric aggregation operators with confidence level and their application to multi-criteria decision-making |
| title_full_unstemmed | Picture fuzzy Aczel–Alsina power geometric aggregation operators with confidence level and their application to multi-criteria decision-making |
| title_short | Picture fuzzy Aczel–Alsina power geometric aggregation operators with confidence level and their application to multi-criteria decision-making |
| title_sort | picture fuzzy aczel alsina power geometric aggregation operators with confidence level and their application to multi criteria decision making |
| topic | Multi-criteria decision-making Picture fuzzy set Aczel–Alsina t-norms and t-conorms Power aggregation operator Food industry |
| url | https://doi.org/10.1007/s42452-025-07605-x |
| work_keys_str_mv | AT kdeva picturefuzzyaczelalsinapowergeometricaggregationoperatorswithconfidencelevelandtheirapplicationtomulticriteriadecisionmaking AT kmarimuthu picturefuzzyaczelalsinapowergeometricaggregationoperatorswithconfidencelevelandtheirapplicationtomulticriteriadecisionmaking AT nasirali picturefuzzyaczelalsinapowergeometricaggregationoperatorswithconfidencelevelandtheirapplicationtomulticriteriadecisionmaking AT ssenthil picturefuzzyaczelalsinapowergeometricaggregationoperatorswithconfidencelevelandtheirapplicationtomulticriteriadecisionmaking AT fikadutesgeratolasa picturefuzzyaczelalsinapowergeometricaggregationoperatorswithconfidencelevelandtheirapplicationtomulticriteriadecisionmaking AT umitkarabiyik picturefuzzyaczelalsinapowergeometricaggregationoperatorswithconfidencelevelandtheirapplicationtomulticriteriadecisionmaking |