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Proceedings Paper

Granular self-organizing map (grSOM) neural network for industrial quality control
Author(s): Vassilis G. Kaburlasos; Vassilios Chatzis; Vassilios Tsiantos; Michael Theodorides
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Paper Abstract

Industrial product quality is frequently assessed using up to second-order statistics of populations of measurements. Lately, a fuzzy interval number (FIN) was used for representing a whole population of samples. It turns out that a FIN can asymptotically capture statistics of all orders. The space F of FINs, including both conventional (fuzzy) numbers and conventional intervals, is studied here. A FIN is interpreted as a (linguistic) information granule that can capture industrial ambiguity. Based on generalized interval analysis it is shown rigorously that F is a metric mathematical lattice; moreover it is shown that F a cone in a linear space. An enhanced extension of Kohonen's Self-Organizing Map (KSOM), namely granular SOM or grSOM for short, is presented in FN for inducing a distribution of FINs from populations of measurements. The grSOM produces descriptive decision-making knowledge (i.e. rules) from the training data by expert attaching labels to induced n-tuples of FINs. Generalization is feasible beyond rule support. A positive valuation function, computable genetically, can introduce tunable nonlinearities. Preliminary results are demonstrated regarding industrial fertilizer quality assessment. Fuzzy-mathematical-morphology-based image processing techniques, which combine binary thresholding and object recognition, are used to automatically measure the geometry of fertilizer granules. Additional measurements are also considered. The far-reaching practical potential of the proposed techniques is discussed.

Paper Details

Date Published: 30 August 2005
PDF: 10 pages
Proc. SPIE 5916, Mathematical Methods in Pattern and Image Analysis, 59160J (30 August 2005); doi: 10.1117/12.614066
Show Author Affiliations
Vassilis G. Kaburlasos, Technological Educational Institution of Kavala (Greece)
Vassilios Chatzis, Technological Educational Institution of Kavala (Greece)
Vassilios Tsiantos, Technological Educational Institution of Kavala (Greece)
Michael Theodorides, Phosphoric Fertilizers Industry S.A. (Greece)

Published in SPIE Proceedings Vol. 5916:
Mathematical Methods in Pattern and Image Analysis
Jaakko T. Astola; Ioan Tabus; Junior Barrera, Editor(s)

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