Centroids of fuzzy sets when membership functions have spikes

Title: Centroids of fuzzy sets when membership functions have spikes
Creator: Aisbett, Janet; Rickard, John T.
Relation: 2013 Joint IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS). Proceedings of the 2013 Joint IFSA World Congress and NAFIPS Annual Meeting (Edmonton, AB 24-28 June, 2013) p. 97-101
Publisher Link: http://dx.doi.org/10.1109/IFSA-NAFIPS.2013.6608382
Publisher: Institute of Electrical and Electronics Engineers (IEEE)
Resource Type: conference paper
Date: 2013
Description: Centroids are a common defuzzification method for fuzzy sets defined on the real line, and thus are practically important in type-1 and type-2 fuzzy logic systems. We propose a modified definition of the centroid that takes account of singleton spikes in membership. Such spikes are encountered in aggregates that combine fuzzy sets whose support is discrete with fuzzy sets whose support is defined on an interval. Our modified definition avoids a computational problem with the choice of discretization in the standard definition when spikes are present, and reduces to the usual one in the absence of spikes.
Subject: fuzzy sets; fuzzy systems; aggregates; approximation methods; length measurement; finite element analysis; position measurement
Identifier: http://hdl.handle.net/1959.13/1318881
Identifier: uon:23717
Identifier: ISBN:9781479903481
Language: eng

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