Volume 8, Issue 2, April 2015, Pages 395 - 406
Multi-Layer Decision Methodology For Ranking Z-Numbers
Ahmad Syafadhli Abu Bakar, Alexander Gegov
Ahmad Syafadhli Abu Bakar
Received 15 January 2014, Accepted 10 November 2014, Available Online 1 April 2015.
- https://doi.org/10.1080/18756891.2015.1017371How to use a DOI?
- â€“ numbers, ranking â€“ numbers, consistency with human intuition, standardised generalised fuzzy 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 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.
- Open Access
- This is an open access article distributed under the CC BY-NC license.
Cite this article
TY - JOUR AU - Ahmad Syafadhli Abu Bakar AU - Alexander Gegov PY - 2015 DA - 2015/04/01 TI - Multi-Layer Decision Methodology For Ranking Z-Numbers JO - International Journal of Computational Intelligence Systems SP - 395 EP - 406 VL - 8 IS - 2 SN - 1875-6883 UR - https://doi.org/10.1080/18756891.2015.1017371 DO - https://doi.org/10.1080/18756891.2015.1017371 ID - Bakar2015 ER -