Application of multi-valued rough neutrosophic set and matrix in multi-criteria decision-making
Rough set concept is a methodology of information processing for relational databases. It is a unique uncertainty mathematics topic closely connected to fuzzy set theory. When the rough set is combined with neutrosophic set theory, an effective tool for working with indeterminacy arises. In this stu...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
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Western Libraries
2023-09-01
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| Series: | Mathematics in Applied Sciences and Engineering |
| Subjects: | |
| Online Access: | https://ojs.lib.uwo.ca/index.php/mase/article/view/16636 |
| _version_ | 1797662179105701888 |
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| author | Donbosco Jeni Seles Martina Ganesan Deepa |
| author_facet | Donbosco Jeni Seles Martina Ganesan Deepa |
| author_sort | Donbosco Jeni Seles Martina |
| collection | DOAJ |
| description | Rough set concept is a methodology of information processing for relational databases. It is a unique uncertainty mathematics topic closely connected to fuzzy set theory. When the rough set is combined with neutrosophic set theory, an effective tool for working with indeterminacy arises. In this study, we defined a multi-valued rough neutrosophic set and a multi-valued rough neutrosophic matrix. Using separation measures, we introduced a new approach for a multi-valued neutrosophic with a rough structure. We consider the problem of determining the condition of dengue-affected patients in a specific hospital. Using this method, we create a multi-valued rough neutrosophic decision matrix that clearly displays the relationship between patient conditions and symptoms. We can determine which one has a serious condition by solving this problem and presenting it on the graph. |
| first_indexed | 2024-03-11T18:56:18Z |
| format | Article |
| id | doaj.art-46cf206e580a4192be0cd2481cf85ba4 |
| institution | Directory Open Access Journal |
| issn | 2563-1926 |
| language | English |
| last_indexed | 2024-03-11T18:56:18Z |
| publishDate | 2023-09-01 |
| publisher | Western Libraries |
| record_format | Article |
| series | Mathematics in Applied Sciences and Engineering |
| spelling | doaj.art-46cf206e580a4192be0cd2481cf85ba42023-10-10T21:01:58ZengWestern LibrariesMathematics in Applied Sciences and Engineering2563-19262023-09-014322724810.5206/mase/1663610890Application of multi-valued rough neutrosophic set and matrix in multi-criteria decision-makingDonbosco Jeni Seles Martina0Ganesan Deepa1Vellore Institute of TechnologyVellore Institute of TechnologyRough set concept is a methodology of information processing for relational databases. It is a unique uncertainty mathematics topic closely connected to fuzzy set theory. When the rough set is combined with neutrosophic set theory, an effective tool for working with indeterminacy arises. In this study, we defined a multi-valued rough neutrosophic set and a multi-valued rough neutrosophic matrix. Using separation measures, we introduced a new approach for a multi-valued neutrosophic with a rough structure. We consider the problem of determining the condition of dengue-affected patients in a specific hospital. Using this method, we create a multi-valued rough neutrosophic decision matrix that clearly displays the relationship between patient conditions and symptoms. We can determine which one has a serious condition by solving this problem and presenting it on the graph.https://ojs.lib.uwo.ca/index.php/mase/article/view/16636rough neutrosophic setrough neutrosophic matrixmulti-valuedmulti-criteria decision-making separation measure |
| spellingShingle | Donbosco Jeni Seles Martina Ganesan Deepa Application of multi-valued rough neutrosophic set and matrix in multi-criteria decision-making Mathematics in Applied Sciences and Engineering rough neutrosophic set rough neutrosophic matrix multi-valued multi-criteria decision-making separation measure |
| title | Application of multi-valued rough neutrosophic set and matrix in multi-criteria decision-making |
| title_full | Application of multi-valued rough neutrosophic set and matrix in multi-criteria decision-making |
| title_fullStr | Application of multi-valued rough neutrosophic set and matrix in multi-criteria decision-making |
| title_full_unstemmed | Application of multi-valued rough neutrosophic set and matrix in multi-criteria decision-making |
| title_short | Application of multi-valued rough neutrosophic set and matrix in multi-criteria decision-making |
| title_sort | application of multi valued rough neutrosophic set and matrix in multi criteria decision making |
| topic | rough neutrosophic set rough neutrosophic matrix multi-valued multi-criteria decision-making separation measure |
| url | https://ojs.lib.uwo.ca/index.php/mase/article/view/16636 |
| work_keys_str_mv | AT donboscojeniselesmartina applicationofmultivaluedroughneutrosophicsetandmatrixinmulticriteriadecisionmaking AT ganesandeepa applicationofmultivaluedroughneutrosophicsetandmatrixinmulticriteriadecisionmaking |