The application of z-numbers in fuzzy decision making: The state of the art
A Z-number is very powerful in describing imperfect information, in which fuzzy numbers are paired such that the partially reliable information is properly processed. During a decision-making process, human beings always use natural language to describe their preferences, and the decision informatio...
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| Format: | Article |
| Language: | English |
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MDPI AG
2023
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| Online Access: | http://umpir.ump.edu.my/id/eprint/38386/1/The%20application%20of%20z-numbers%20in%20fuzzy%20decision%20making_The%20state%20of%20the%20art.pdf |
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| author | Nik Muhammad Farhan Hakim, Nik Badrul Alam Ku Muhammad Naim, Ku Khalif Nor Izzati, Jaini Gegov, Alexander |
| author_facet | Nik Muhammad Farhan Hakim, Nik Badrul Alam Ku Muhammad Naim, Ku Khalif Nor Izzati, Jaini Gegov, Alexander |
| author_sort | Nik Muhammad Farhan Hakim, Nik Badrul Alam |
| collection | UMP |
| description | A Z-number is very powerful in describing imperfect information, in which fuzzy numbers are paired such that the partially reliable information is properly processed. During a decision-making process, human beings always use natural language to describe their preferences, and the decision information is usually imprecise and partially reliable. The nature of the Z-number, which is composed of the restriction and reliability components, has made it a powerful tool for depicting certain decision information. Its strengths and advantages have attracted many researchers worldwide to further study and extend its theory and applications. The current research trend on Z-numbers has shown an increasing interest among researchers in the fuzzy set theory, especially its application to decision making. This paper reviews the application of Z-numbers in decision making, in which previous decision-making models based on Z-numbers are analyzed to identify their strengths and contributions. The decision making based on Z-numbers improves the reliability of the decision information and makes it more meaningful. Another scope that is closely related to decision making, namely, the ranking of Z-numbers, is also reviewed. Then, the evaluative analysis of the Z-numbers is conducted to evaluate the performance of Z-numbers in decision making. Future directions and recommendations on the applications of Z-numbers in decision making are provided at the end of this review. |
| first_indexed | 2024-03-06T13:08:26Z |
| format | Article |
| id | UMPir38386 |
| institution | Universiti Malaysia Pahang |
| language | English |
| last_indexed | 2024-03-06T13:08:26Z |
| publishDate | 2023 |
| publisher | MDPI AG |
| record_format | dspace |
| spelling | UMPir383862023-08-25T05:02:03Z http://umpir.ump.edu.my/id/eprint/38386/ The application of z-numbers in fuzzy decision making: The state of the art Nik Muhammad Farhan Hakim, Nik Badrul Alam Ku Muhammad Naim, Ku Khalif Nor Izzati, Jaini Gegov, Alexander Q Science (General) QA Mathematics A Z-number is very powerful in describing imperfect information, in which fuzzy numbers are paired such that the partially reliable information is properly processed. During a decision-making process, human beings always use natural language to describe their preferences, and the decision information is usually imprecise and partially reliable. The nature of the Z-number, which is composed of the restriction and reliability components, has made it a powerful tool for depicting certain decision information. Its strengths and advantages have attracted many researchers worldwide to further study and extend its theory and applications. The current research trend on Z-numbers has shown an increasing interest among researchers in the fuzzy set theory, especially its application to decision making. This paper reviews the application of Z-numbers in decision making, in which previous decision-making models based on Z-numbers are analyzed to identify their strengths and contributions. The decision making based on Z-numbers improves the reliability of the decision information and makes it more meaningful. Another scope that is closely related to decision making, namely, the ranking of Z-numbers, is also reviewed. Then, the evaluative analysis of the Z-numbers is conducted to evaluate the performance of Z-numbers in decision making. Future directions and recommendations on the applications of Z-numbers in decision making are provided at the end of this review. MDPI AG 2023-07 Article PeerReviewed pdf en cc_by_4 http://umpir.ump.edu.my/id/eprint/38386/1/The%20application%20of%20z-numbers%20in%20fuzzy%20decision%20making_The%20state%20of%20the%20art.pdf Nik Muhammad Farhan Hakim, Nik Badrul Alam and Ku Muhammad Naim, Ku Khalif and Nor Izzati, Jaini and Gegov, Alexander (2023) The application of z-numbers in fuzzy decision making: The state of the art. Information, 14 (400). pp. 1-24. ISSN 2078-2489. (Published) https://doi.org/10.3390/info14070400 https://doi.org/10.3390/info14070400 |
| spellingShingle | Q Science (General) QA Mathematics Nik Muhammad Farhan Hakim, Nik Badrul Alam Ku Muhammad Naim, Ku Khalif Nor Izzati, Jaini Gegov, Alexander The application of z-numbers in fuzzy decision making: The state of the art |
| title | The application of z-numbers in fuzzy decision making: The state of the art |
| title_full | The application of z-numbers in fuzzy decision making: The state of the art |
| title_fullStr | The application of z-numbers in fuzzy decision making: The state of the art |
| title_full_unstemmed | The application of z-numbers in fuzzy decision making: The state of the art |
| title_short | The application of z-numbers in fuzzy decision making: The state of the art |
| title_sort | application of z numbers in fuzzy decision making the state of the art |
| topic | Q Science (General) QA Mathematics |
| url | http://umpir.ump.edu.my/id/eprint/38386/1/The%20application%20of%20z-numbers%20in%20fuzzy%20decision%20making_The%20state%20of%20the%20art.pdf |
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