Applications of nth Power Root Fuzzy Sets in Multicriteria Decision Making
An nth power root fuzzy set is a useful extension of a fuzzy set for expressing uncertain data. Because of their wider range of showing membership grades, nth power root fuzzy sets can cover more ambiguous situations than intuitionistic fuzzy sets. In this article, we present several novel operation...
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| Format: | Article |
| Language: | English |
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Wiley
2023-01-01
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| Series: | Journal of Mathematics |
| Online Access: | http://dx.doi.org/10.1155/2023/1487724 |
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| _version_ | 1832547980723355648 |
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| author | Hariwan Z. Ibrahim Tareq M. Al-Shami Abdelwaheb Mhemdi |
| author_facet | Hariwan Z. Ibrahim Tareq M. Al-Shami Abdelwaheb Mhemdi |
| author_sort | Hariwan Z. Ibrahim |
| collection | DOAJ |
| description | An nth power root fuzzy set is a useful extension of a fuzzy set for expressing uncertain data. Because of their wider range of showing membership grades, nth power root fuzzy sets can cover more ambiguous situations than intuitionistic fuzzy sets. In this article, we present several novel operations on nth power root fuzzy sets, as well as their various features. Besides, we develop a new weighted aggregated operator, namely, nth power root fuzzy weighted power average (nPR-FWPA) over nth power root fuzzy sets to deal with choice information and show some of their basic properties. In addition, we define a scoring function for nth power root fuzzy sets ranking. Furthermore, we use this operator to determine the optimal location for constructing a home and demonstrate how we may choose the best alternative by comparing aggregate outputs using score values. Finally, we compare the nPR-FWPA operator outcomes to those of other well-known operators. |
| format | Article |
| id | doaj-art-40396c20ee2840158d4daf8f8934b1ad |
| institution | Kabale University |
| issn | 2314-4785 |
| language | English |
| publishDate | 2023-01-01 |
| publisher | Wiley |
| record_format | Article |
| series | Journal of Mathematics |
| spelling | doaj-art-40396c20ee2840158d4daf8f8934b1ad2025-02-03T06:42:40ZengWileyJournal of Mathematics2314-47852023-01-01202310.1155/2023/1487724Applications of nth Power Root Fuzzy Sets in Multicriteria Decision MakingHariwan Z. Ibrahim0Tareq M. Al-Shami1Abdelwaheb Mhemdi2Department of MathematicsDepartment of MathematicsDepartment of MathematicsAn nth power root fuzzy set is a useful extension of a fuzzy set for expressing uncertain data. Because of their wider range of showing membership grades, nth power root fuzzy sets can cover more ambiguous situations than intuitionistic fuzzy sets. In this article, we present several novel operations on nth power root fuzzy sets, as well as their various features. Besides, we develop a new weighted aggregated operator, namely, nth power root fuzzy weighted power average (nPR-FWPA) over nth power root fuzzy sets to deal with choice information and show some of their basic properties. In addition, we define a scoring function for nth power root fuzzy sets ranking. Furthermore, we use this operator to determine the optimal location for constructing a home and demonstrate how we may choose the best alternative by comparing aggregate outputs using score values. Finally, we compare the nPR-FWPA operator outcomes to those of other well-known operators.http://dx.doi.org/10.1155/2023/1487724 |
| spellingShingle | Hariwan Z. Ibrahim Tareq M. Al-Shami Abdelwaheb Mhemdi Applications of nth Power Root Fuzzy Sets in Multicriteria Decision Making Journal of Mathematics |
| title | Applications of nth Power Root Fuzzy Sets in Multicriteria Decision Making |
| title_full | Applications of nth Power Root Fuzzy Sets in Multicriteria Decision Making |
| title_fullStr | Applications of nth Power Root Fuzzy Sets in Multicriteria Decision Making |
| title_full_unstemmed | Applications of nth Power Root Fuzzy Sets in Multicriteria Decision Making |
| title_short | Applications of nth Power Root Fuzzy Sets in Multicriteria Decision Making |
| title_sort | applications of nth power root fuzzy sets in multicriteria decision making |
| url | http://dx.doi.org/10.1155/2023/1487724 |
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