Novel Concepts of q-Rung Orthopair Fuzzy Topology and WPM Approach for Multicriteria Decision-Making
A q-rung orthopair fuzzy set (q-ROFS) is a robust approach for fuzzy modeling, computational intelligence, and multicriteria decision-making (MCDM) problems. The aim of this paper is to study the topological structure on q-ROFSs and define the idea of q-rung orthopair fuzzy topology (q-ROF topology)...
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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: | Journal of Function Spaces |
| Online Access: | http://dx.doi.org/10.1155/2022/2094593 |
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| author | Muhammad Riaz Hafiz Muhammad Athar Farid S. A. Alblowi Yahya Almalki |
| author_facet | Muhammad Riaz Hafiz Muhammad Athar Farid S. A. Alblowi Yahya Almalki |
| author_sort | Muhammad Riaz |
| collection | DOAJ |
| description | A q-rung orthopair fuzzy set (q-ROFS) is a robust approach for fuzzy modeling, computational intelligence, and multicriteria decision-making (MCDM) problems. The aim of this paper is to study the topological structure on q-ROFSs and define the idea of q-rung orthopair fuzzy topology (q-ROF topology). The characterization of q-ROF α-continuous mappings between q-ROF topological spaces and q-ROF connectedness is investigated. Some relationships of different types of q-rung orthopair fuzzy connectedness are also investigated. Additionally, the “q-rung orthopair fuzzy weighted product model” (q-ROF WPM) is developed for MCDM of a hierarchical healthcare system. Due to limited and insufficient resources, a hierarchical healthcare system (HHS) is very effective to deal with the increasing problems of healthcare. Recognizing the stage of a disease with the symptoms, ranking the critical condition of patients, and referring patients to feasible hospitals are key features of HHS. A HHS will provide healthcare services in three levels, a primary health centers for initial stage of disease, secondary hospitals for secondary stage of disease, and tertiary hospital for the third-order stage. A numerical example is illustrated to demonstrate the efficiency of q-ROF WPM and advantages of HHS. |
| format | Article |
| id | doaj-art-0a9aafcb0dbb450fa16d3905ad3ec3ce |
| institution | Kabale University |
| issn | 2314-8888 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Function Spaces |
| spelling | doaj-art-0a9aafcb0dbb450fa16d3905ad3ec3ce2025-08-20T03:55:27ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/2094593Novel Concepts of q-Rung Orthopair Fuzzy Topology and WPM Approach for Multicriteria Decision-MakingMuhammad Riaz0Hafiz Muhammad Athar Farid1S. A. Alblowi2Yahya Almalki3Department of MathematicsDepartment of MathematicsDepartment of MathematicsDepartment of MathematicsA q-rung orthopair fuzzy set (q-ROFS) is a robust approach for fuzzy modeling, computational intelligence, and multicriteria decision-making (MCDM) problems. The aim of this paper is to study the topological structure on q-ROFSs and define the idea of q-rung orthopair fuzzy topology (q-ROF topology). The characterization of q-ROF α-continuous mappings between q-ROF topological spaces and q-ROF connectedness is investigated. Some relationships of different types of q-rung orthopair fuzzy connectedness are also investigated. Additionally, the “q-rung orthopair fuzzy weighted product model” (q-ROF WPM) is developed for MCDM of a hierarchical healthcare system. Due to limited and insufficient resources, a hierarchical healthcare system (HHS) is very effective to deal with the increasing problems of healthcare. Recognizing the stage of a disease with the symptoms, ranking the critical condition of patients, and referring patients to feasible hospitals are key features of HHS. A HHS will provide healthcare services in three levels, a primary health centers for initial stage of disease, secondary hospitals for secondary stage of disease, and tertiary hospital for the third-order stage. A numerical example is illustrated to demonstrate the efficiency of q-ROF WPM and advantages of HHS.http://dx.doi.org/10.1155/2022/2094593 |
| spellingShingle | Muhammad Riaz Hafiz Muhammad Athar Farid S. A. Alblowi Yahya Almalki Novel Concepts of q-Rung Orthopair Fuzzy Topology and WPM Approach for Multicriteria Decision-Making Journal of Function Spaces |
| title | Novel Concepts of q-Rung Orthopair Fuzzy Topology and WPM Approach for Multicriteria Decision-Making |
| title_full | Novel Concepts of q-Rung Orthopair Fuzzy Topology and WPM Approach for Multicriteria Decision-Making |
| title_fullStr | Novel Concepts of q-Rung Orthopair Fuzzy Topology and WPM Approach for Multicriteria Decision-Making |
| title_full_unstemmed | Novel Concepts of q-Rung Orthopair Fuzzy Topology and WPM Approach for Multicriteria Decision-Making |
| title_short | Novel Concepts of q-Rung Orthopair Fuzzy Topology and WPM Approach for Multicriteria Decision-Making |
| title_sort | novel concepts of q rung orthopair fuzzy topology and wpm approach for multicriteria decision making |
| url | http://dx.doi.org/10.1155/2022/2094593 |
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