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Authors: Pim van den Broek 1 and Joost Noppen 2

Affiliations: 1 University of Twente, Netherlands ; 2 University of Lancaster, United Kingdom

ISBN: 978-989-674-014-6

Keyword(s): Fuzzy weighted average, Membership functions.

Related Ontology Subjects/Areas/Topics: Artificial Intelligence ; Computational Intelligence ; Fuzzy Information Processing, Fusion, Text Mining ; Fuzzy Systems ; Mathematical Foundations: Fuzzy Set Theory and Fuzzy Logic ; Soft Computing

Abstract: An algorithm is presented for the computation of analytical expressions for the extremal values of the α-cuts of the fuzzy weighted average, for triangular or trapeizoidal weights and attributes. Also, an algorithm for the computation of the inverses of these expressions is given, providing exact membership functions of the fuzzy weighted average. Up to now, only algorithms exist for the computation of the extremal values of the α-cuts for a fixed value of α. To illustrate the power of our algorithms, they are applied to several examples from the literature, providing exact membership functions in each case.

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Paper citation in several formats:
van den Broek P.; Noppen J. and (2009). FUZZY WEIGHTED AVERAGE - Analytical Solution.In Proceedings of the International Joint Conference on Computational Intelligence - Volume 1: ICFC, (IJCCI 2009) ISBN 978-989-674-014-6, pages 31-38. DOI: 10.5220/0002318900310038

@conference{icfc09,
author={Pim {van den Broek} and Joost Noppen},
title={FUZZY WEIGHTED AVERAGE - Analytical Solution},
booktitle={Proceedings of the International Joint Conference on Computational Intelligence - Volume 1: ICFC, (IJCCI 2009)},
year={2009},
pages={31-38},
publisher={SciTePress},
organization={INSTICC},
doi={10.5220/0002318900310038},
isbn={978-989-674-014-6},
}

TY - CONF

JO - Proceedings of the International Joint Conference on Computational Intelligence - Volume 1: ICFC, (IJCCI 2009)
TI - FUZZY WEIGHTED AVERAGE - Analytical Solution
SN - 978-989-674-014-6
AU - van den Broek, P.
AU - Noppen, J.
PY - 2009
SP - 31
EP - 38
DO - 10.5220/0002318900310038

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