Complex interval-valued intuitionistic fuzzy decision support system with application to COVID-19 healthcare facilities
Abstract The complex interval-valued intuitionistic fuzzy set (CIIFS), as an extension of the complex intuitionistic fuzzy set (CIFS), is one of the better tools for dealing with time-periodic information in a single set of two-dimensional information. So, this paper makes some new operators based o...
| Main Authors: | , , , , |
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| Format: | Article |
| Language: | English |
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Springer
2023-06-01
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| Series: | Complex & Intelligent Systems |
| Subjects: | |
| Online Access: | https://doi.org/10.1007/s40747-023-01090-8 |
| _version_ | 1797647132731113472 |
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| author | Muhammad Sajjad Ali Khan Saeed Ullah Jan Rahim Jan Tapan Senapati Sarbast Moslem |
| author_facet | Muhammad Sajjad Ali Khan Saeed Ullah Jan Rahim Jan Tapan Senapati Sarbast Moslem |
| author_sort | Muhammad Sajjad Ali Khan |
| collection | DOAJ |
| description | Abstract The complex interval-valued intuitionistic fuzzy set (CIIFS), as an extension of the complex intuitionistic fuzzy set (CIFS), is one of the better tools for dealing with time-periodic information in a single set of two-dimensional information. So, this paper makes some new operators based on Aczel-Alsina’s t-norm and t-conorm in the CIIFS environment. First, some Aczel-Alsina t-norm and t-conorm operational laws are defined for complex interval-valued intuitionistic fuzzy numbers (CIIFNs). Then, using the proposed operational laws, Aczel-Alsina The operators Complex interval-valued intuitionistic Aczel-Alsina weighted average (CIIFAAWA), Complex interval-valued intuitionistic Aczel-Alsina weighted geometric (CIIFAAWG), Complex interval-valued intuitionistic Aczel-Alsina ordered weighted average (CIIFAAOWA), and Complex interval-valued intuitionistic Aczel-Alsina ordered weighted geometric (CIIFAAOWG) are developed. Further, some properties of the proposed operators are discussed and investigated in detail. A group decision-making method is also suggested based on developed operators in the CIIFS environment. The proposed operators are more adaptable and give more accurate results than existing ones. Furthermore, a multi-criteria decision-making technique is developed based on the proposed operators. A decision-making problem for healthcare facilities in public hospitals is provided to demonstrate the benefits and applicability of the proposed method. Finally, a comparative study is also investigated using the existing methods. |
| first_indexed | 2024-03-11T15:11:55Z |
| format | Article |
| id | doaj.art-97d1de38aec34898b9fa359a1d613645 |
| institution | Directory Open Access Journal |
| issn | 2199-4536 2198-6053 |
| language | English |
| last_indexed | 2024-03-11T15:11:55Z |
| publishDate | 2023-06-01 |
| publisher | Springer |
| record_format | Article |
| series | Complex & Intelligent Systems |
| spelling | doaj.art-97d1de38aec34898b9fa359a1d6136452023-10-29T12:41:37ZengSpringerComplex & Intelligent Systems2199-45362198-60532023-06-01967103713210.1007/s40747-023-01090-8Complex interval-valued intuitionistic fuzzy decision support system with application to COVID-19 healthcare facilitiesMuhammad Sajjad Ali Khan0Saeed Ullah Jan1Rahim Jan2Tapan Senapati3Sarbast Moslem4Department of Mathematics, Khushal Khan Khattak UniversityDepartment of Library and Information Sciences, Khushal Khan Khattak UniversityDepartment of Library and Information Sciences, Khushal Khan Khattak UniversitySchool of Mathematics and Statistics, Southwest UniversitySchool of Architecture Planning and Environmental Policy, University College DublinAbstract The complex interval-valued intuitionistic fuzzy set (CIIFS), as an extension of the complex intuitionistic fuzzy set (CIFS), is one of the better tools for dealing with time-periodic information in a single set of two-dimensional information. So, this paper makes some new operators based on Aczel-Alsina’s t-norm and t-conorm in the CIIFS environment. First, some Aczel-Alsina t-norm and t-conorm operational laws are defined for complex interval-valued intuitionistic fuzzy numbers (CIIFNs). Then, using the proposed operational laws, Aczel-Alsina The operators Complex interval-valued intuitionistic Aczel-Alsina weighted average (CIIFAAWA), Complex interval-valued intuitionistic Aczel-Alsina weighted geometric (CIIFAAWG), Complex interval-valued intuitionistic Aczel-Alsina ordered weighted average (CIIFAAOWA), and Complex interval-valued intuitionistic Aczel-Alsina ordered weighted geometric (CIIFAAOWG) are developed. Further, some properties of the proposed operators are discussed and investigated in detail. A group decision-making method is also suggested based on developed operators in the CIIFS environment. The proposed operators are more adaptable and give more accurate results than existing ones. Furthermore, a multi-criteria decision-making technique is developed based on the proposed operators. A decision-making problem for healthcare facilities in public hospitals is provided to demonstrate the benefits and applicability of the proposed method. Finally, a comparative study is also investigated using the existing methods.https://doi.org/10.1007/s40747-023-01090-8Complex interval-valued intuitionistic fuzzy numbersAczel-Alsina t-norm and t-conormComplex interval-valued intuitionistic Aczel-Alsina aggregation operatorsMulti-criteria decision making method |
| spellingShingle | Muhammad Sajjad Ali Khan Saeed Ullah Jan Rahim Jan Tapan Senapati Sarbast Moslem Complex interval-valued intuitionistic fuzzy decision support system with application to COVID-19 healthcare facilities Complex & Intelligent Systems Complex interval-valued intuitionistic fuzzy numbers Aczel-Alsina t-norm and t-conorm Complex interval-valued intuitionistic Aczel-Alsina aggregation operators Multi-criteria decision making method |
| title | Complex interval-valued intuitionistic fuzzy decision support system with application to COVID-19 healthcare facilities |
| title_full | Complex interval-valued intuitionistic fuzzy decision support system with application to COVID-19 healthcare facilities |
| title_fullStr | Complex interval-valued intuitionistic fuzzy decision support system with application to COVID-19 healthcare facilities |
| title_full_unstemmed | Complex interval-valued intuitionistic fuzzy decision support system with application to COVID-19 healthcare facilities |
| title_short | Complex interval-valued intuitionistic fuzzy decision support system with application to COVID-19 healthcare facilities |
| title_sort | complex interval valued intuitionistic fuzzy decision support system with application to covid 19 healthcare facilities |
| topic | Complex interval-valued intuitionistic fuzzy numbers Aczel-Alsina t-norm and t-conorm Complex interval-valued intuitionistic Aczel-Alsina aggregation operators Multi-criteria decision making method |
| url | https://doi.org/10.1007/s40747-023-01090-8 |
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