The application of the hybrid interval rough weighted Power-Heronian operator in multi-criteria decision making
In this paper, a new multi-criteria model which enables the processing of uncertainty and inaccuracy data through the application of interval rough numbers (IRN) is presented. The multi-criteria model represents the integration of the Power Aggregator (PA) and the Weighted Heronian Mean (WHM) operat...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Regional Association for Security and crisis management, Belgrade, Serbia
2020-07-01
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| Series: | Operational Research in Engineering Sciences: Theory and Applications |
| Subjects: | |
| Online Access: | https://oresta.rabek.org/index.php/oresta/article/view/54 |
| _version_ | 1798017333761933312 |
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| author | Dragan Pamučar Aleksandar Janković |
| author_facet | Dragan Pamučar Aleksandar Janković |
| author_sort | Dragan Pamučar |
| collection | DOAJ |
| description | In this paper, a new multi-criteria model which enables the processing of uncertainty and inaccuracy data through the application of interval rough numbers (IRN) is presented. The multi-criteria model represents the integration of the Power Aggregator (PA) and the Weighted Heronian Mean (WHM) operators. The goal of the forming of a hybrid Weighted Power Heronian Mean (WPHM) is to integrate the advantages of both operators into a single multi-criteria model, which has the following advantages: 1) it eliminates the influence of unreasonable arguments; 2) it takes into account the degree of support between input arguments and 3) it takes into account the interconnectedness of input arguments. Based on the mathematical concept of the IRN, the hybrid WPHM operator was extended and the IRNWPHM multi-criteria model was created. The IRNWPHA multi-criteria model enables objective decision-making in the case of imprecise input parameters in the initial decision matrix. Also, the IRNWPHA model allows flexible decision-making and the verification of the robustness of results through a variation of the p and q parameters. The IRNWPHM model was tested on a real-world multi-criteria example. The results showed that the IRNWPHM operator enabled a successful transformation of the uncertainties and inaccuracies that exist in group decision-making. |
| first_indexed | 2024-04-11T16:05:32Z |
| format | Article |
| id | doaj.art-c81dff4c0e1f41948e0f7acca883e4d0 |
| institution | Directory Open Access Journal |
| issn | 2620-1607 2620-1747 |
| language | English |
| last_indexed | 2024-04-11T16:05:32Z |
| publishDate | 2020-07-01 |
| publisher | Regional Association for Security and crisis management, Belgrade, Serbia |
| record_format | Article |
| series | Operational Research in Engineering Sciences: Theory and Applications |
| spelling | doaj.art-c81dff4c0e1f41948e0f7acca883e4d02022-12-22T04:14:50ZengRegional Association for Security and crisis management, Belgrade, SerbiaOperational Research in Engineering Sciences: Theory and Applications2620-16072620-17472020-07-0132The application of the hybrid interval rough weighted Power-Heronian operator in multi-criteria decision makingDragan Pamučar0Aleksandar Janković1Department of logistics, Military Academy, University of Defence in Belgrade, Belgrade, SerbiaMinistry of Transport and Maritime Affairs, Directorate for Transport, MontenegroIn this paper, a new multi-criteria model which enables the processing of uncertainty and inaccuracy data through the application of interval rough numbers (IRN) is presented. The multi-criteria model represents the integration of the Power Aggregator (PA) and the Weighted Heronian Mean (WHM) operators. The goal of the forming of a hybrid Weighted Power Heronian Mean (WPHM) is to integrate the advantages of both operators into a single multi-criteria model, which has the following advantages: 1) it eliminates the influence of unreasonable arguments; 2) it takes into account the degree of support between input arguments and 3) it takes into account the interconnectedness of input arguments. Based on the mathematical concept of the IRN, the hybrid WPHM operator was extended and the IRNWPHM multi-criteria model was created. The IRNWPHA multi-criteria model enables objective decision-making in the case of imprecise input parameters in the initial decision matrix. Also, the IRNWPHA model allows flexible decision-making and the verification of the robustness of results through a variation of the p and q parameters. The IRNWPHM model was tested on a real-world multi-criteria example. The results showed that the IRNWPHM operator enabled a successful transformation of the uncertainties and inaccuracies that exist in group decision-making.https://oresta.rabek.org/index.php/oresta/article/view/54Interval rough numbers; Heronian mean; Multi-criteria decision making; Power operator |
| spellingShingle | Dragan Pamučar Aleksandar Janković The application of the hybrid interval rough weighted Power-Heronian operator in multi-criteria decision making Operational Research in Engineering Sciences: Theory and Applications Interval rough numbers; Heronian mean; Multi-criteria decision making; Power operator |
| title | The application of the hybrid interval rough weighted Power-Heronian operator in multi-criteria decision making |
| title_full | The application of the hybrid interval rough weighted Power-Heronian operator in multi-criteria decision making |
| title_fullStr | The application of the hybrid interval rough weighted Power-Heronian operator in multi-criteria decision making |
| title_full_unstemmed | The application of the hybrid interval rough weighted Power-Heronian operator in multi-criteria decision making |
| title_short | The application of the hybrid interval rough weighted Power-Heronian operator in multi-criteria decision making |
| title_sort | application of the hybrid interval rough weighted power heronian operator in multi criteria decision making |
| topic | Interval rough numbers; Heronian mean; Multi-criteria decision making; Power operator |
| url | https://oresta.rabek.org/index.php/oresta/article/view/54 |
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