Multi-Layer Decision Methodology For Ranking Z-Numbers

DOI

10.1080/18756891.2015.1017371How to use a DOI?

Keywords

– numbers, ranking – numbers, consistency with human intuition, standardised generalised fuzzy numbers

Abstract

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.

Copyright

© 2017, the Authors. Published by Atlantis Press.

Open Access

This is an open access article distributed under the CC BY-NC license (http://creativecommons.org/licenses/by-nc/4.0/).

Download article (PDF)

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  - 10.1080/18756891.2015.1017371
ID  - Bakar2015
ER  -