Paper
25 March 1998 Construction of fuzzy membership functions using interactive self-organizing maps
Thomas E. Sandidge Jr., Cihan H. Dagli
Author Affiliations +
Abstract
This paper presents a Kohonen-like mapping that eliminates or reduces four limitations of the Kohonen maps. The described network is invariant to scale, very resistant to 'automatic selection of feature dimensions,' results in strictly ordered clusters of ascending/descending magnitude, and may allow a greater amount of information to be gleaned from high dimensional data sets. The network treats each input component separately but each map is influenced via inter-map connections. Unfortunately, processing time increases combinatorially as the number of input components and number of neurons per component increases. As a demonstration, membership functions are constructed for a four variable data set with minimal parameter setting, the most crucial being the number of classes per input component.
© (1998) COPYRIGHT Society of Photo-Optical Instrumentation Engineers (SPIE). Downloading of the abstract is permitted for personal use only.
Thomas E. Sandidge Jr. and Cihan H. Dagli "Construction of fuzzy membership functions using interactive self-organizing maps", Proc. SPIE 3390, Applications and Science of Computational Intelligence, (25 March 1998); https://doi.org/10.1117/12.304817
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Cited by 1 scholarly publication.
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KEYWORDS
Associative arrays

Neurons

Fuzzy systems

Head

Matrices

Molybdenum

Solids

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