Novel Distance Measures for Single-Valued Neutrosophic Fuzzy Sets and Their Applications to Multicriteria Group Decision-Making Problem
Single-valued neutrosophic sets are a hybrid of fuzzy sets that are used to represent uncertain, imprecise, partial, and inconsistent information in the actual world. The focus of this research is to develop two novel distance measures for single-valued neutrosophic fuzzy sets (SVNFSs). We introduce...
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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/10.1155/2022/7233420 |
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| _version_ | 1832564039308279808 |
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| author | Yun Jin Muhammad Kamran Nadeem Salamat Shouzhen Zeng Riaz Hussain Khan |
| author_facet | Yun Jin Muhammad Kamran Nadeem Salamat Shouzhen Zeng Riaz Hussain Khan |
| author_sort | Yun Jin |
| collection | DOAJ |
| description | Single-valued neutrosophic sets are a hybrid of fuzzy sets that are used to represent uncertain, imprecise, partial, and inconsistent information in the actual world. The focus of this research is to develop two novel distance measures for single-valued neutrosophic fuzzy sets (SVNFSs). We introduced two new distance measures named dηG,Y and dζG,Y for SVNFSs and apply these measures to different examples and also compare them with existing measures to show the validity of our proposed measures. Our results are reliable and useful for decision-making problems. We also proposed an algorithm for multicriteria group decision-making. Based on this algorithm, we find the ranking matrices using proposed distance measures. We also give an example to demonstrate the notion and concept of our algorithm. |
| format | Article |
| id | doaj-art-0468a27a02ee4aafae2c4550bacb24e5 |
| 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-0468a27a02ee4aafae2c4550bacb24e52025-02-03T01:11:56ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/7233420Novel Distance Measures for Single-Valued Neutrosophic Fuzzy Sets and Their Applications to Multicriteria Group Decision-Making ProblemYun Jin0Muhammad Kamran1Nadeem Salamat2Shouzhen Zeng3Riaz Hussain Khan4Tourism DepartmentDepartment of MathematicsDepartment of MathematicsSchool of BusinessDepartment of MathematicsSingle-valued neutrosophic sets are a hybrid of fuzzy sets that are used to represent uncertain, imprecise, partial, and inconsistent information in the actual world. The focus of this research is to develop two novel distance measures for single-valued neutrosophic fuzzy sets (SVNFSs). We introduced two new distance measures named dηG,Y and dζG,Y for SVNFSs and apply these measures to different examples and also compare them with existing measures to show the validity of our proposed measures. Our results are reliable and useful for decision-making problems. We also proposed an algorithm for multicriteria group decision-making. Based on this algorithm, we find the ranking matrices using proposed distance measures. We also give an example to demonstrate the notion and concept of our algorithm.http://dx.doi.org/10.1155/2022/7233420 |
| spellingShingle | Yun Jin Muhammad Kamran Nadeem Salamat Shouzhen Zeng Riaz Hussain Khan Novel Distance Measures for Single-Valued Neutrosophic Fuzzy Sets and Their Applications to Multicriteria Group Decision-Making Problem Journal of Function Spaces |
| title | Novel Distance Measures for Single-Valued Neutrosophic Fuzzy Sets and Their Applications to Multicriteria Group Decision-Making Problem |
| title_full | Novel Distance Measures for Single-Valued Neutrosophic Fuzzy Sets and Their Applications to Multicriteria Group Decision-Making Problem |
| title_fullStr | Novel Distance Measures for Single-Valued Neutrosophic Fuzzy Sets and Their Applications to Multicriteria Group Decision-Making Problem |
| title_full_unstemmed | Novel Distance Measures for Single-Valued Neutrosophic Fuzzy Sets and Their Applications to Multicriteria Group Decision-Making Problem |
| title_short | Novel Distance Measures for Single-Valued Neutrosophic Fuzzy Sets and Their Applications to Multicriteria Group Decision-Making Problem |
| title_sort | novel distance measures for single valued neutrosophic fuzzy sets and their applications to multicriteria group decision making problem |
| url | http://dx.doi.org/10.1155/2022/7233420 |
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