FUZZY WEIGHTED AVERAGE - Analytical Solution

Pim van den Broek, Joost Noppen

2009

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.

References

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Paper Citation


in Harvard Style

van den Broek P. and Noppen J. (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


in Bibtex Style

@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},
}


in EndNote Style

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