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Tagged with fuzzy-set real-analysis
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First decomposition theorem of fuzzy set
I read if standard union in fuzzy set have definition:
Union of two fuzzy sets $\tilde{A}$ and $\tilde{B}$ in universe $X$ denoted $\tilde{A}\cup\tilde{B}$ is fuzzy set in universe $X$ with membership ...
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Hausdorff Distance on Fuzzy Sets
I'm trying to define the Hausdorff distance between two fuzzy sets in terms of non-fuzzy sets. Is this a viable definition? How can I show that this reduces to the Hausdorff Distance for non-fuzzy ...