Unknown symbol in a fuzzy logic equation

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SUMMARY

The symbol 'U' in fuzzy logic equations represents the union of multiple objects, analogous to the summation notation \sum_{i=1}^k a_i used for additions. This notation is commonly utilized in the context of histogram normalization within image processing. Understanding this concept is crucial for effectively applying fuzzy logic in various computational tasks.

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  • Fuzzy logic fundamentals
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  • Mathematical notation in set theory
  • Histogram normalization methods
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cnyd
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Hi people

I study on image processing and fuzzy logic. When I working on histogram normalization, I saw an equation which includes a symbol 'U' letter. On the bottom of the 'U' (m=1) and on the top of the 'U' (K) is written. And i want to learn what its (U) mean.

Thanks in advance.

Cuneyd HELVACI
 
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It's the union of a bunch of objects; it's exactly analogous to using [itex]\sum_{i=1}^k a_i[/itex] to denote a bunch of additions.
 

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