A Generalized Decision-Making Technique Based on Bipolar-Valued Multivague Soft Sets
The decision-making technique, launched by Roy and Maji, is considered an effective method to overcome uncertainty and fuzziness in decision-making problems, though, adapting it to reflect the problem parameters’ vagueness, as well as multibipolarity, is very difficult. So, in this article, the bipo...
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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/10.1155/2022/9453172 |
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| author | Hanan H. Sakr Abdisalam Hassan Muse Ramy Aldallal |
| author_facet | Hanan H. Sakr Abdisalam Hassan Muse Ramy Aldallal |
| author_sort | Hanan H. Sakr |
| collection | DOAJ |
| description | The decision-making technique, launched by Roy and Maji, is considered an effective method to overcome uncertainty and fuzziness in decision-making problems, though, adapting it to reflect the problem parameters’ vagueness, as well as multibipolarity, is very difficult. So, in this article, the bipolarity is interpolated into the multivague soft set of order n. This gives a new more generalized, flexible, and applicable extension than the fuzzy soft model, or any previous hybrid model, which is the bipolar-valued multivague soft model of dimension n. Moreover, types of bipolar-valued multivague soft sets of dimension n, as well as some new associated concepts and operations, are investigated with examples. Furthermore, properties of bipolar-valued multivague soft sets of dimension n including absorption, commutative, associative, and distributive properties, as well as De Morgan’s laws, are provided in detail. Finally, a bipolar-valued multivague soft set-designed decision-making algorithm, as well as a real-life example, are discussed generalizing the Roy and Maji method. |
| format | Article |
| id | doaj-art-38c2c3b8551d4a7eab20ce44a68c5fa0 |
| 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-38c2c3b8551d4a7eab20ce44a68c5fa02025-02-03T01:06:53ZengWileyJournal of Function Spaces2314-88882022-01-01202210.1155/2022/9453172A Generalized Decision-Making Technique Based on Bipolar-Valued Multivague Soft SetsHanan H. Sakr0Abdisalam Hassan Muse1Ramy Aldallal2Mathematics DepartmentMathematics (Statistics Option) ProgramDepartment of AccountingThe decision-making technique, launched by Roy and Maji, is considered an effective method to overcome uncertainty and fuzziness in decision-making problems, though, adapting it to reflect the problem parameters’ vagueness, as well as multibipolarity, is very difficult. So, in this article, the bipolarity is interpolated into the multivague soft set of order n. This gives a new more generalized, flexible, and applicable extension than the fuzzy soft model, or any previous hybrid model, which is the bipolar-valued multivague soft model of dimension n. Moreover, types of bipolar-valued multivague soft sets of dimension n, as well as some new associated concepts and operations, are investigated with examples. Furthermore, properties of bipolar-valued multivague soft sets of dimension n including absorption, commutative, associative, and distributive properties, as well as De Morgan’s laws, are provided in detail. Finally, a bipolar-valued multivague soft set-designed decision-making algorithm, as well as a real-life example, are discussed generalizing the Roy and Maji method.http://dx.doi.org/10.1155/2022/9453172 |
| spellingShingle | Hanan H. Sakr Abdisalam Hassan Muse Ramy Aldallal A Generalized Decision-Making Technique Based on Bipolar-Valued Multivague Soft Sets Journal of Function Spaces |
| title | A Generalized Decision-Making Technique Based on Bipolar-Valued Multivague Soft Sets |
| title_full | A Generalized Decision-Making Technique Based on Bipolar-Valued Multivague Soft Sets |
| title_fullStr | A Generalized Decision-Making Technique Based on Bipolar-Valued Multivague Soft Sets |
| title_full_unstemmed | A Generalized Decision-Making Technique Based on Bipolar-Valued Multivague Soft Sets |
| title_short | A Generalized Decision-Making Technique Based on Bipolar-Valued Multivague Soft Sets |
| title_sort | generalized decision making technique based on bipolar valued multivague soft sets |
| url | http://dx.doi.org/10.1155/2022/9453172 |
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