This presentation discusses the results of classifying sulfur print images of steel billet sections into three classes (A, B, C) using fuzzy logic. Membership functions were formed for the linguistic variables that describe image characteristics like brightness threshold, maximum brightness on each side of the threshold. Decision rules were developed to classify images when characteristics fall into ambiguous overlapping regions between different classes. The presentation concludes with thanks for attention.

1. НАЗВАНИЕ ПРЕЗЕНТАЦИИ
Nosov Magnitogorsk State Technical University
THE RESULTS OF SULFUR PRINT IMAGETHE RESULTS OF SULFUR PRINT IMAGE
CLASSIFICATIONCLASSIFICATION
OF SECTION IMAGESOF SECTION IMAGES
Oxana Logunova,Oxana Logunova,
Ivan Posokhov,Ivan Posokhov,
Reporter Anatoliy MikovReporter Anatoliy Mikov,,
Elena Ilyina,Elena Ilyina,
Natalya Dyorina AndNatalya Dyorina And
Anatoliy BelyavskiyAnatoliy Belyavskiy
Yekaterinburg, 2016

2. Sulfur Prints of Transverse Templates of Continuous Cast Square Billets
a Typical Image
of Class A
a Typical Image
of Class B
a Typical Image
of Class C
Nosov Magnitogorsk State Technical University

3. Structure of the linguistic variable Image
T is an abscissa of the point for the position of the brightness threshold;
m is an abscissa of the point of the brightness maximum to the left of the
threshold;
M is an abscissa of the point position of the brightness maximum to the right of
the threshold.
Nosov Magnitogorsk State Technical University

4. Formation scheme of the membership function for the
unambiguous identity areas
Nosov Magnitogorsk State Technical University
x is the considered component of the linguistic variable

5. The scheme of ambiguous identify region intersection
Nosov Magnitogorsk State Technical University

6. The formation scheme of the membership functions for
overlapping areas: a – equilibrium model; b – non-equilibrium
model
Nosov Magnitogorsk State Technical University

7. Arrangement of “empty set” areas
Nosov Magnitogorsk State Technical University

8. Formation scheme of the “total absorption” region:
a – overlapping by the first interval; b – overlapping
by the second interval
Nosov Magnitogorsk State Technical University

9. As one of the possible options, we assume that:
– when the following condition is satisfied
– when the following condition is satisfied
Nosov Magnitogorsk State Technical University

10. Decision rules in ambiguous classification
between A and C
Nosov Magnitogorsk State Technical University

11. Thanks for Attention!
Nosov Magnitogorsk State Technical University