Algorithms for a Generalized Multipolar Neutrosophic Soft Set with Information Measures to Solve Medical Diagnoses and Decision-Making Problems
The aim of this paper is to propose the generalized version of the multipolar neutrosophic soft set with operations and basic properties. Here, we define the AND, OR, Truth-Favorite, and False-Favorite operators along with their properties. Also, we define the necessity and possibility of operations...
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| Main Authors: | , , , , , , |
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| Format: | Article |
| Language: | English |
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Wiley
2021-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2021/6654657 |
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| _version_ | 1832563150621245440 |
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| author | Rana Muhammad Zulqarnain Harish Garg Imran Siddique Rifaqat Ali Abdelaziz Alsubie Nawaf N. Hamadneh Ilyas Khan |
| author_facet | Rana Muhammad Zulqarnain Harish Garg Imran Siddique Rifaqat Ali Abdelaziz Alsubie Nawaf N. Hamadneh Ilyas Khan |
| author_sort | Rana Muhammad Zulqarnain |
| collection | DOAJ |
| description | The aim of this paper is to propose the generalized version of the multipolar neutrosophic soft set with operations and basic properties. Here, we define the AND, OR, Truth-Favorite, and False-Favorite operators along with their properties. Also, we define the necessity and possibility of operations for them. Later on, to extend it to solve the decision-making problems, we define some information measures such as distance, similarity, and correlation coefficient for the generalized multipolar neutrosophic soft set. Several desirable properties and their relationship between them are derived. Finally, based on these information measures, a decision-making algorithm is stated under the neutrosophic environment to tackle the uncertain and vague information. The applicability of the proposed algorithm is demonstrated through a case study of the medical-diagnosis and the decision-making problems. A comparative analysis with several existing studies reveals the effectiveness of the approach. |
| format | Article |
| id | doaj-art-60230ceef1d942f7b50d4822db8707b9 |
| institution | Kabale University |
| issn | 2314-4629 2314-4785 |
| language | English |
| publishDate | 2021-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-60230ceef1d942f7b50d4822db8707b92025-02-03T01:20:49ZengWileyJournal of Mathematics2314-46292314-47852021-01-01202110.1155/2021/66546576654657Algorithms for a Generalized Multipolar Neutrosophic Soft Set with Information Measures to Solve Medical Diagnoses and Decision-Making ProblemsRana Muhammad Zulqarnain0Harish Garg1Imran Siddique2Rifaqat Ali3Abdelaziz Alsubie4Nawaf N. Hamadneh5Ilyas Khan6Department of Mathematics, University of Management and Technology, Lahore, Sialkot Campus, PakistanSchool of Mathematics, Thapar Institute of Engineering & Technology (Deemed University), Patiala 147004, Punjab, IndiaDepartment of Mathematics, University of Management and Technology, Lahore 54770, PakistanDepartment of Mathematics, College of Science and Arts, King Khalid University, Muhayil, 61413 Abha, Saudi ArabiaDepartment of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh, Saudi ArabiaDepartment of Basic Sciences, College of Science and Theoretical Studies, Saudi Electronic University, Riyadh, Saudi ArabiaFaculty of Mathematics and Statistics, Ton Duc Thang University, Ho Chi Minh City, VietnamThe aim of this paper is to propose the generalized version of the multipolar neutrosophic soft set with operations and basic properties. Here, we define the AND, OR, Truth-Favorite, and False-Favorite operators along with their properties. Also, we define the necessity and possibility of operations for them. Later on, to extend it to solve the decision-making problems, we define some information measures such as distance, similarity, and correlation coefficient for the generalized multipolar neutrosophic soft set. Several desirable properties and their relationship between them are derived. Finally, based on these information measures, a decision-making algorithm is stated under the neutrosophic environment to tackle the uncertain and vague information. The applicability of the proposed algorithm is demonstrated through a case study of the medical-diagnosis and the decision-making problems. A comparative analysis with several existing studies reveals the effectiveness of the approach.http://dx.doi.org/10.1155/2021/6654657 |
| spellingShingle | Rana Muhammad Zulqarnain Harish Garg Imran Siddique Rifaqat Ali Abdelaziz Alsubie Nawaf N. Hamadneh Ilyas Khan Algorithms for a Generalized Multipolar Neutrosophic Soft Set with Information Measures to Solve Medical Diagnoses and Decision-Making Problems Journal of Mathematics |
| title | Algorithms for a Generalized Multipolar Neutrosophic Soft Set with Information Measures to Solve Medical Diagnoses and Decision-Making Problems |
| title_full | Algorithms for a Generalized Multipolar Neutrosophic Soft Set with Information Measures to Solve Medical Diagnoses and Decision-Making Problems |
| title_fullStr | Algorithms for a Generalized Multipolar Neutrosophic Soft Set with Information Measures to Solve Medical Diagnoses and Decision-Making Problems |
| title_full_unstemmed | Algorithms for a Generalized Multipolar Neutrosophic Soft Set with Information Measures to Solve Medical Diagnoses and Decision-Making Problems |
| title_short | Algorithms for a Generalized Multipolar Neutrosophic Soft Set with Information Measures to Solve Medical Diagnoses and Decision-Making Problems |
| title_sort | algorithms for a generalized multipolar neutrosophic soft set with information measures to solve medical diagnoses and decision making problems |
| url | http://dx.doi.org/10.1155/2021/6654657 |
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