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A symmetric function

While working on a research problem on fuzzy metric spaces, I came across a special symmetric function $F_n:X^n\times (0,\infty)\to [0,1]$ i.e. \begin{equation*} F_n(x_1,x_2,\dots,x_n,t)=F_n(x_{\pi(1)...
K A Khan's user avatar
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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 ...
Anthony Peter's user avatar