Ranking of Interval Type-2 Fuzzy Numbers based on Centroid Point and Spread

Ahmad Syafadhli Abu Bakar, Ku Muhammad Naim Ku Khalif, Alexander Gegov

2015

Abstract

A concept of interval type-2 fuzzy numbers is introduced in decision making analysis as this concept is capable to effectively deal with the uncertainty in the information about a decision. It considers two types of uncertainty namely inter and intra personal uncertainties, in enhancing the representation of type-1 fuzzy numbers in the literature of fuzzy sets. As interval type-2 fuzzy numbers are crucial in decision making, this paper proposes a methodology for ranking interval type-2 fuzzy numbers. This methodology consists of two parts namely the interval type-2 fuzzy numbers reduction methodology as the first part and ranking of type-1 fuzzy numbers as the second part. In this study, established reduction methodology of interval type-2 fuzzy numbers into type-1 fuzzy numbers is extended to reduction into standardised generalised type-1 fuzzy numbers as the extension complements the capability of the methodology on dealing with both positive and negative data values. It is worth adding here that this methodology is analysed using thorough empirical comparison with some established ranking methods for consistency evaluation. This methodology is considered as a generic decision making procedure, especially when interval type-2 fuzzy numbers are applied to real decision making problems.

Paper Citation

in Harvard Style

Abu Bakar A., Ku Khalif K. and Gegov A. (2015). Ranking of Interval Type-2 Fuzzy Numbers based on Centroid Point and Spread . In Proceedings of the 7th International Joint Conference on Computational Intelligence - Volume 1: FCTA, (ECTA 2015) ISBN 978-989-758-157-1, pages 131-140. DOI: 10.5220/0005592301310140

in Bibtex Style

@conference{fcta15,
author={Ahmad Syafadhli Abu Bakar and Ku Muhammad Naim Ku Khalif and Alexander Gegov},
title={Ranking of Interval Type-2 Fuzzy Numbers based on Centroid Point and Spread},
booktitle={Proceedings of the 7th International Joint Conference on Computational Intelligence - Volume 1: FCTA, (ECTA 2015)},
year={2015},
pages={131-140},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005592301310140},
isbn={978-989-758-157-1},
}

in EndNote Style

TY - CONF
JO - Proceedings of the 7th International Joint Conference on Computational Intelligence - Volume 1: FCTA, (ECTA 2015)
TI - Ranking of Interval Type-2 Fuzzy Numbers based on Centroid Point and Spread
SN - 978-989-758-157-1
AU - Abu Bakar A.
AU - Ku Khalif K.
AU - Gegov A.
PY - 2015
SP - 131
EP - 140
DO - 10.5220/0005592301310140