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Proceedings Paper

Determining data clusters' fine center, extents, and membership functions using a modified mountain method
Author(s): James A. Kelly; Ronald R. Yager
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Paper Abstract

This paper describes a stand alone Mountain Method (MM) to determine clusters' fine center position, extents, and membership functions. The motivation for this fuzzy clustering algorithm is to improve the approximate cluster centers resulting from the MM without experiencing the problem of local minima, and provide the additional cluster information necessary to fuzzify a system. After briefly reviewing the MM, this paper discusses the methodological considerations for effective cluster determination, modifications to the MM, and classical data set results using the MM, fuzzy c-mean (FCM) and the modified Mountain Method (MMM). The MMM compared to FCM algorithm achieved cluster centers resulting in a standard error of 0.166 and 0.052 with respect to Anderson's Iris, and Yager and Filev's data sets. The methodology discussed herein is the subject of a US patent, entitled 'Multiple Target Discrimination Algorithm', serial number 5,396,252, assigned to United Technologies Corporation. The patent addresses discriminating multiple targets or clusters of digitized sensor data for determining fine position and extents thereof.

Paper Details

Date Published: 13 June 1995
PDF: 12 pages
Proc. SPIE 2493, Applications of Fuzzy Logic Technology II, (13 June 1995); doi: 10.1117/12.211817
Show Author Affiliations
James A. Kelly, Sikorsky Aircraft Inc. (United States)
Ronald R. Yager, Iona College (United States)

Published in SPIE Proceedings Vol. 2493:
Applications of Fuzzy Logic Technology II
Bruno Bosacchi; James C. Bezdek, Editor(s)

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