Multi-Layer Decision Methodology For Ranking Z-Numbers
The new concept of a – number has been recently introduced in decision making analysis. This concept is capable of effectively dealing with uncertainty in information about a decision. As this concept is relatively new in fuzzy sets, its underlying theoretical aspects have not been establi...
| Main Authors: | , |
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| Format: | Article |
| Language: | English |
| Published: |
Springer
2015-04-01
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| Series: | International Journal of Computational Intelligence Systems |
| Subjects: | |
| Online Access: | https://www.atlantis-press.com/article/25868604.pdf |
| _version_ | 1818008620315443200 |
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| author | Ahmad Syafadhli Abu Bakar Alexander Gegov |
| author_facet | Ahmad Syafadhli Abu Bakar Alexander Gegov |
| author_sort | Ahmad Syafadhli Abu Bakar |
| collection | DOAJ |
| description | The new concept of a – number has been recently introduced in decision making analysis. This concept is capable of effectively dealing with uncertainty in information about a decision. As this concept is relatively new in fuzzy sets, its underlying theoretical aspects have not been established yet. In this paper, a multi-layer methodology for ranking Z – numbers is proposed for the first time. This methodology consists of two layers: Z – number conversion as the first layer and fuzzy number ranking as the second layer. In this study, the conversion methodology of Z – numbers into fuzzy numbers is extended to conversion into standardised generalised fuzzy number so that the methodology is applicable to both positive and negative data values. The methodology is validated by means of thorough comparison with some established ranking methods for consistency purposes. This methodology is considered as a generic decision making procedure, especially when – numbers are applied to real decision making problems. |
| first_indexed | 2024-04-14T05:31:39Z |
| format | Article |
| id | doaj.art-205c2b05c7ff4078a831a9b2095f475e |
| institution | Directory Open Access Journal |
| issn | 1875-6883 |
| language | English |
| last_indexed | 2024-04-14T05:31:39Z |
| publishDate | 2015-04-01 |
| publisher | Springer |
| record_format | Article |
| series | International Journal of Computational Intelligence Systems |
| spelling | doaj.art-205c2b05c7ff4078a831a9b2095f475e2022-12-22T02:09:46ZengSpringerInternational Journal of Computational Intelligence Systems1875-68832015-04-018210.1080/18756891.2015.1017371Multi-Layer Decision Methodology For Ranking Z-NumbersAhmad Syafadhli Abu BakarAlexander GegovThe new concept of a – number has been recently introduced in decision making analysis. This concept is capable of effectively dealing with uncertainty in information about a decision. As this concept is relatively new in fuzzy sets, its underlying theoretical aspects have not been established yet. In this paper, a multi-layer methodology for ranking Z – numbers is proposed for the first time. This methodology consists of two layers: Z – number conversion as the first layer and fuzzy number ranking as the second layer. In this study, the conversion methodology of Z – numbers into fuzzy numbers is extended to conversion into standardised generalised fuzzy number so that the methodology is applicable to both positive and negative data values. The methodology is validated by means of thorough comparison with some established ranking methods for consistency purposes. This methodology is considered as a generic decision making procedure, especially when – numbers are applied to real decision making problems.https://www.atlantis-press.com/article/25868604.pdf– numbersranking – numbersconsistency with human intuitionstandardised generalised fuzzy numbers |
| spellingShingle | Ahmad Syafadhli Abu Bakar Alexander Gegov Multi-Layer Decision Methodology For Ranking Z-Numbers International Journal of Computational Intelligence Systems – numbers ranking – numbers consistency with human intuition standardised generalised fuzzy numbers |
| title | Multi-Layer Decision Methodology For Ranking Z-Numbers |
| title_full | Multi-Layer Decision Methodology For Ranking Z-Numbers |
| title_fullStr | Multi-Layer Decision Methodology For Ranking Z-Numbers |
| title_full_unstemmed | Multi-Layer Decision Methodology For Ranking Z-Numbers |
| title_short | Multi-Layer Decision Methodology For Ranking Z-Numbers |
| title_sort | multi layer decision methodology for ranking z numbers |
| topic | – numbers ranking – numbers consistency with human intuition standardised generalised fuzzy numbers |
| url | https://www.atlantis-press.com/article/25868604.pdf |
| work_keys_str_mv | AT ahmadsyafadhliabubakar multilayerdecisionmethodologyforrankingznumbers AT alexandergegov multilayerdecisionmethodologyforrankingznumbers |