Fuzzy N-Bipolar Soft Sets for Multi-Criteria Decision-Making: Theory and Application
This paper introduces fuzzy N-bipolar soft (FN-BS) sets, a novel mathematical framework designed to enhance multi-criteria decision-making (MCDM) processes under uncertainty. The study addresses a significant limitation in existing models by unifying fuzzy logic, the consideration of bipolarity, and...
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| Vydané v: | Computer modeling in engineering & sciences Ročník 143; číslo 1; s. 911 - 943 |
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| Jazyk: | English |
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| Abstract | This paper introduces fuzzy N-bipolar soft (FN-BS) sets, a novel mathematical framework designed to enhance multi-criteria decision-making (MCDM) processes under uncertainty. The study addresses a significant limitation in existing models by unifying fuzzy logic, the consideration of bipolarity, and the ability to evaluate attributes on a multinary scale. The specific contributions of the FN-BS framework include: (1) a formal definition and set-theoretic foundation, (2) the development of two innovative algorithms for solving decision-making (DM) problems, and (3) a comparative analysis demonstrating its superiority over established models. The proposed framework is applied to a real-world case study on selecting vaccination programs across multiple countries, showcasing consistent DM outcomes and exceptional adaptability to complex and uncertain scenarios. These results position FN-BS sets as a versatile and powerful tool for addressing dynamic DM challenges. |
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| AbstractList | This paper introduces fuzzy N-bipolar soft (FN-BS) sets, a novel mathematical framework designed to enhance multi-criteria decision-making (MCDM) processes under uncertainty. The study addresses a significant limitation in existing models by unifying fuzzy logic, the consideration of bipolarity, and the ability to evaluate attributes on a multinary scale. The specific contributions of the FN-BS framework include: (1) a formal definition and set-theoretic foundation, (2) the development of two innovative algorithms for solving decision-making (DM) problems, and (3) a comparative analysis demonstrating its superiority over established models. The proposed framework is applied to a real-world case study on selecting vaccination programs across multiple countries, showcasing consistent DM outcomes and exceptional adaptability to complex and uncertain scenarios. These results position FN-BS sets as a versatile and powerful tool for addressing dynamic DM challenges. |
| Author | Asaad, Baravan A. Alohali, Hanan Ameen, Zanyar A. Musa, Sagvan Y. Alqahtani, Mesfer H. |
| Author_xml | – sequence: 1 givenname: Sagvan Y. surname: Musa fullname: Musa, Sagvan Y. – sequence: 2 givenname: Baravan A. surname: Asaad fullname: Asaad, Baravan A. – sequence: 3 givenname: Hanan surname: Alohali fullname: Alohali, Hanan – sequence: 4 givenname: Zanyar A. surname: Ameen fullname: Ameen, Zanyar A. – sequence: 5 givenname: Mesfer H. surname: Alqahtani fullname: Alqahtani, Mesfer H. |
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| Cites_doi | 10.1016/j.camwa.2008.11.009 10.1007/s40747-023-01215-z 10.31181/sor21202511 10.1155/2021/3690597 10.1016/S0019-9958(65)90241-X 10.1016/S0898-1221(02)00216-X 10.1142/S1752890924500247 10.1371/journal.pone.0304016 10.1371/journal.pone.0218283 10.1016/S0165-0114(86)80034-3 10.1371/journal.pone.0296396 10.1007/s00500-017-2838-6 10.3390/math9151826 10.1007/s00521-024-09552-x 10.3390/sym13050748 10.3390/sym15091795 10.1016/S0898-1221(99)00056-5 10.1007/s40314-024-03029-2 10.1155/2022/2635568 10.1080/16168658.2021.1943187 10.1109/21.229476 10.1016/j.camwa.2010.07.006 10.2298/YJOR240315033S 10.22436/jmcs.036.01.08 10.1007/s00500-023-08853-y 10.1016/S0898-1221(03)00016-6 10.3390/math13030530 10.21203/rs.3.rs-755020/v1 10.1007/BF01001956 |
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