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Authors: Ahmad Syafadhli Abu Bakar ; Ku Muhammad Naim Ku Khalif and Alexander Gegov

Affiliation: University of Portsmouth, United Kingdom

Keyword(s): Interval Type-2 Fuzzy Numbers, Standardised Generalised Interval Type-2 Fuzzy Numbers, Ranking, Centroid Point, Spread.

Related Ontology Subjects/Areas/Topics: Artificial Intelligence ; Computational Intelligence ; Fuzzy Systems ; Soft Computing ; Type-2 Fuzzy Logic

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 a dding 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. (More)

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Paper citation in several formats:
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 (ECTA 2015) - FCTA; ISBN 978-989-758-157-1, SciTePress, pages 131-140. DOI: 10.5220/0005592301310140

@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 (ECTA 2015) - FCTA},
year={2015},
pages={131-140},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0005592301310140},
isbn={978-989-758-157-1},
}

TY - CONF

JO - Proceedings of the 7th International Joint Conference on Computational Intelligence (ECTA 2015) - FCTA
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
PB - SciTePress