part 10 pattern recognition 1. fuzzy clustering 2. fuzzy pattern recognition 3. fuzzy image...
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PART 10Pattern Recognition
1. Fuzzy clustering2. Fuzzy pattern recognition3. Fuzzy image processing
FUZZY SETS AND
FUZZY LOGICTheory and Applications
Fuzzy clustering
Fuzzy c-means clustering method
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Fuzzy clustering
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Fuzzy clustering
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Fuzzy clustering
• Fuzzy c-means algorithm
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Fuzzy clustering
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Fuzzy clustering
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Fuzzy clustering
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Fuzzy clustering
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Fuzzy clustering
• Clustering by Equivalence The fuzzy clustering problem can be viewed as the
problem of identifying an appropriate fuzzy equivalence relation on given data.
It usually cannot be done directly, we can readily determine a fuzzy compatibility relation (reflexive and symmetric) in terms of an appropriate distance function applied to given data.
Then, a meaningful fuzzy equivalence relation is defined as the transitive closure of this fuzzy compatibility relation.
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Fuzzy clustering
Distance function
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Fuzzy clustering
Theorem 10.1
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Fuzzy clustering
Example 10.2
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Fuzzy clustering
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Fuzzy clustering
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Fuzzy clustering
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Fuzzy clustering
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Fuzzy clustering
Example 10.3
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Fuzzy clustering
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Fuzzy clustering
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Fuzzy clustering
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Fuzzy clustering
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Fuzzy clustering
Membership-Roster method
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Fuzzy clustering
Example 10.4
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Fuzzy clustering
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Fuzzy clustering
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Fuzzy clustering
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Fuzzy clustering
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Fuzzy clustering
• Fuzzy syntactic method
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Fuzzy clustering
Grammar
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Fuzzy clustering
Fuzzy Grammar
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Fuzzy clustering
Example 10.5
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Fuzzy clustering
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Fuzzy clustering
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Fuzzy clustering
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Fuzzy clustering
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Fuzzy clustering
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Fuzzy clustering
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Fuzzy image processing
• Fuzzy matrix
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Fuzzy image processingExample 10.6
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Fuzzy image processing
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Fuzzy image processing
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Fuzzy image processing
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Fuzzy image processing
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Fuzzy image processing
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Exercises
• 10.2
• 10.5