Effective Fuzzy Soft Set Theory and Its Applications
Fuzzy soft set is the most powerful and effective extension of soft sets which deals with parameterized values of the alternative. It is an extended model of soft set and a new mathematical tool that has great advantages in dealing with uncertain information and is proposed by combining soft sets an...
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| Format: | Article |
| Language: | English |
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Wiley
2022-01-01
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| Series: | Applied Computational Intelligence and Soft Computing |
| Online Access: | http://dx.doi.org/10.1155/2022/6469745 |
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| _version_ | 1832558362866221056 |
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| author | Shawkat Alkhazaleh |
| author_facet | Shawkat Alkhazaleh |
| author_sort | Shawkat Alkhazaleh |
| collection | DOAJ |
| description | Fuzzy soft set is the most powerful and effective extension of soft sets which deals with parameterized values of the alternative. It is an extended model of soft set and a new mathematical tool that has great advantages in dealing with uncertain information and is proposed by combining soft sets and fuzzy sets. Many fuzzy decision making algorithms based on fuzzy soft sets were given. However, these do not consider the external effective on the decision it depends on the parameters without considering any external effective. In order to solve these problems, in this paper, we introduce the concept of effective fuzzy soft set and its operation and study some of its properties. We also give an application of this concept in decision making (DM) problem. Finally, we give an application of this theory to medical diagnosis (MD) and exhibit the technique with a hypothetical case study. |
| format | Article |
| id | doaj-art-0ab1163dde6c4fa8b83d542ec525a5ac |
| institution | Kabale University |
| issn | 1687-9732 |
| language | English |
| publishDate | 2022-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Applied Computational Intelligence and Soft Computing |
| spelling | doaj-art-0ab1163dde6c4fa8b83d542ec525a5ac2025-02-03T01:32:34ZengWileyApplied Computational Intelligence and Soft Computing1687-97322022-01-01202210.1155/2022/6469745Effective Fuzzy Soft Set Theory and Its ApplicationsShawkat Alkhazaleh0Shawkat Alkhazaleh Department of MathematicsFuzzy soft set is the most powerful and effective extension of soft sets which deals with parameterized values of the alternative. It is an extended model of soft set and a new mathematical tool that has great advantages in dealing with uncertain information and is proposed by combining soft sets and fuzzy sets. Many fuzzy decision making algorithms based on fuzzy soft sets were given. However, these do not consider the external effective on the decision it depends on the parameters without considering any external effective. In order to solve these problems, in this paper, we introduce the concept of effective fuzzy soft set and its operation and study some of its properties. We also give an application of this concept in decision making (DM) problem. Finally, we give an application of this theory to medical diagnosis (MD) and exhibit the technique with a hypothetical case study.http://dx.doi.org/10.1155/2022/6469745 |
| spellingShingle | Shawkat Alkhazaleh Effective Fuzzy Soft Set Theory and Its Applications Applied Computational Intelligence and Soft Computing |
| title | Effective Fuzzy Soft Set Theory and Its Applications |
| title_full | Effective Fuzzy Soft Set Theory and Its Applications |
| title_fullStr | Effective Fuzzy Soft Set Theory and Its Applications |
| title_full_unstemmed | Effective Fuzzy Soft Set Theory and Its Applications |
| title_short | Effective Fuzzy Soft Set Theory and Its Applications |
| title_sort | effective fuzzy soft set theory and its applications |
| url | http://dx.doi.org/10.1155/2022/6469745 |
| work_keys_str_mv | AT shawkatalkhazaleh effectivefuzzysoftsettheoryanditsapplications |