Applications of Cubic Schweizer–Sklar Power Heronian Mean to Multiple Attribute Decision-Making
The cubic set (CS) is a basic simplification of several fuzzy notions, including fuzzy set (FS), interval-valued FS (IVFS), and intuitionistic FS (IFS). By the degrees of IVFS and FS, CS exposes fuzzy judgement, and this is a much more potent mathematical approach for dealing with information that i...
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| Main Authors: | , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Complexity |
| Online Access: | http://dx.doi.org/10.1155/2022/5920189 |
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| author | Qaisar Khan Muhammad Shahzad Saqib Sharif Mohammed Elgarhy Mahmoud El-Morshedy Suleman Nasiru |
| author_facet | Qaisar Khan Muhammad Shahzad Saqib Sharif Mohammed Elgarhy Mahmoud El-Morshedy Suleman Nasiru |
| author_sort | Qaisar Khan |
| collection | DOAJ |
| description | The cubic set (CS) is a basic simplification of several fuzzy notions, including fuzzy set (FS), interval-valued FS (IVFS), and intuitionistic FS (IFS). By the degrees of IVFS and FS, CS exposes fuzzy judgement, and this is a much more potent mathematical approach for dealing with information that is unclear, ambiguous, or indistinguishable. The article provides many innovative operational laws for cubic numbers (CNs) drawn on the Schweizer–Sklar (SS) t-norm (SSTN), and the SS t-conorm (SSTCN), as well as several desired properties of these operational laws. We also plan to emphasise on the cubic Schweizer–Sklar power Heronian mean (CSSPHM) operator, as well as the cubic Schweizer–Sklar power geometric Heronian mean (CSSPGHM) operator, in order to maintain the supremacy of the power aggregation (PA) operators that seize the complications of the unsuitable information and Heronian mean (HM) operators that contemplate the interrelationship between the input data being aggregated. A novel multiple attribute decision-making (MADM) model is anticipated for these freshly launched aggregation operators (AOs). Finally, a numerical example of enterprise resource planning is used to validate the approach’s relevance and usefulness. There is also a comparison with existing decision-making models. |
| format | Article |
| id | doaj-art-7408ed9fb0044c2dac2c413f1a9d82ce |
| institution | Kabale University |
| issn | 1099-0526 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Complexity |
| spelling | doaj-art-7408ed9fb0044c2dac2c413f1a9d82ce2025-02-03T06:08:40ZengWileyComplexity1099-05262022-01-01202210.1155/2022/5920189Applications of Cubic Schweizer–Sklar Power Heronian Mean to Multiple Attribute Decision-MakingQaisar Khan0Muhammad Shahzad1Saqib Sharif2Mohammed Elgarhy3Mahmoud El-Morshedy4Suleman Nasiru5Department of Mathematics and Statistics University of HaripurDepartment of Mathematics and Statistics University of HaripurDepartment of Mathematics and Statistics University of HaripurThe Higher Institute of Commercial SciencesDepartment of MathematicsDepartment of StatisticsThe cubic set (CS) is a basic simplification of several fuzzy notions, including fuzzy set (FS), interval-valued FS (IVFS), and intuitionistic FS (IFS). By the degrees of IVFS and FS, CS exposes fuzzy judgement, and this is a much more potent mathematical approach for dealing with information that is unclear, ambiguous, or indistinguishable. The article provides many innovative operational laws for cubic numbers (CNs) drawn on the Schweizer–Sklar (SS) t-norm (SSTN), and the SS t-conorm (SSTCN), as well as several desired properties of these operational laws. We also plan to emphasise on the cubic Schweizer–Sklar power Heronian mean (CSSPHM) operator, as well as the cubic Schweizer–Sklar power geometric Heronian mean (CSSPGHM) operator, in order to maintain the supremacy of the power aggregation (PA) operators that seize the complications of the unsuitable information and Heronian mean (HM) operators that contemplate the interrelationship between the input data being aggregated. A novel multiple attribute decision-making (MADM) model is anticipated for these freshly launched aggregation operators (AOs). Finally, a numerical example of enterprise resource planning is used to validate the approach’s relevance and usefulness. There is also a comparison with existing decision-making models.http://dx.doi.org/10.1155/2022/5920189 |
| spellingShingle | Qaisar Khan Muhammad Shahzad Saqib Sharif Mohammed Elgarhy Mahmoud El-Morshedy Suleman Nasiru Applications of Cubic Schweizer–Sklar Power Heronian Mean to Multiple Attribute Decision-Making Complexity |
| title | Applications of Cubic Schweizer–Sklar Power Heronian Mean to Multiple Attribute Decision-Making |
| title_full | Applications of Cubic Schweizer–Sklar Power Heronian Mean to Multiple Attribute Decision-Making |
| title_fullStr | Applications of Cubic Schweizer–Sklar Power Heronian Mean to Multiple Attribute Decision-Making |
| title_full_unstemmed | Applications of Cubic Schweizer–Sklar Power Heronian Mean to Multiple Attribute Decision-Making |
| title_short | Applications of Cubic Schweizer–Sklar Power Heronian Mean to Multiple Attribute Decision-Making |
| title_sort | applications of cubic schweizer sklar power heronian mean to multiple attribute decision making |
| url | http://dx.doi.org/10.1155/2022/5920189 |
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