Fuzzy Weighted Average: Alternative Approach

P.M. van den Broek; J.A.R. Noppen

doi:10.1109/NAFIPS.2006.365872

Fuzzy Weighted Average: Alternative Approach

P.M. van den Broek, J.A.R. Noppen

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

15 Citations (Scopus)

2514 Downloads (Pure)

Abstract

We present an alternative definition of the fuzzy weighted average, in which Zadeh's extension principle is applied to the definition of the non-fuzzy weighted average where weights are required to be normalised. It is argued that the alternative approach should be preferred above the traditional approach. An algorithm for the computation of the fuzzy weighted average for the alternative approach is given for the case where attributes and weights are fuzzy triangular numbers. Several examples are worked out in detail.

Original language	Undefined
Title of host publication	NAFIPS06 2006 Conference of the North American Fuzzy Information Processing Society
Editors	K. Demirli, A. Akgunduz
Place of Publication	Los Alamitos
Publisher	IEEE Computer Society Press
Pages	126-130
Number of pages	5
ISBN (Print)	0-7803-9188-8
DOIs	https://doi.org/10.1109/NAFIPS.2006.365872
Publication status	Published - Jun 2006
Event	NAFIPS06 2006 Conference of the North American Fuzzy Information Processing Society, Montreal, Canada: NAFIPS06 2006 Conference of the North American Fuzzy Information Processing Society - Los Alamitos Duration: 1 Jun 2006 → …

Publication series

Name
Publisher	IEEE Computer Society Press
Number	06EX1382C

Conference

Conference	NAFIPS06 2006 Conference of the North American Fuzzy Information Processing Society, Montreal, Canada
City	Los Alamitos
Period	1/06/06 → …

Keywords

SE-SC: Soft Computing applied to Software Engineering
METIS-237914
IR-63916
EWI-9084

Access to Document

10.1109/NAFIPS.2006.365872

0409NAFIPS06final

Cite this

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title = "Fuzzy Weighted Average: Alternative Approach",

abstract = "We present an alternative definition of the fuzzy weighted average, in which Zadeh's extension principle is applied to the definition of the non-fuzzy weighted average where weights are required to be normalised. It is argued that the alternative approach should be preferred above the traditional approach. An algorithm for the computation of the fuzzy weighted average for the alternative approach is given for the case where attributes and weights are fuzzy triangular numbers. Several examples are worked out in detail.",

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van den Broek, PM & Noppen, JAR 2006, Fuzzy Weighted Average: Alternative Approach. in K Demirli & A Akgunduz (eds), NAFIPS06 2006 Conference of the North American Fuzzy Information Processing Society. IEEE Computer Society Press, Los Alamitos, pp. 126-130, NAFIPS06 2006 Conference of the North American Fuzzy Information Processing Society, Montreal, Canada, Los Alamitos, 1/06/06. https://doi.org/10.1109/NAFIPS.2006.365872

Fuzzy Weighted Average: Alternative Approach. / van den Broek, P.M.; Noppen, J.A.R.

NAFIPS06 2006 Conference of the North American Fuzzy Information Processing Society. ed. / K. Demirli; A. Akgunduz. Los Alamitos : IEEE Computer Society Press, 2006. p. 126-130.

Research output: Chapter in Book/Report/Conference proceeding › Conference contribution › Academic › peer-review

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