Chunk #11 — ENHANCEMENTS AND UPDATES — Fuzzy enrichment analysis

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Enrichr: a comprehensive gene set enrichment analysis web server 2016 update.

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yes

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To perform enrichment analysis with fuzzy sets, we require the fuzzy equivalent of set intersection. For the fuzzy sets \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{upgreek} \usepackage{mathrsfs} \setlength{\oddsidemargin}{-69pt} \begin{document} }{}$\{ S,\ {m_a}\}$\end{document} and \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{upgreek} \usepackage{mathrsfs} \setlength{\oddsidemargin}{-69pt} \begin{document} }{}$\{ S,\ {m_b}\}$\end{document}, this is defined such that \documentclass[12pt]{minimal} \usepackage{amsmath} \usepackage{wasysym} \usepackage{amsfonts} \usepackage{amssymb} \usepackage{amsbsy} \usepackage{upgreek} \usepackage{mathrsfs} \setlength{\oddsidemargin}{-69pt} \begin{document} }{}\begin{equation*}\begin{array}{*{20}{l}} {\{ S,\ {m_a}\} \cap \{ S,\ {m_b}\} = }\\ {\left\{ {Min\left( {{m_a}({x_1}),\ {m_b}({x_1})} \right)/{x_1},Min\left( {{m_a}({x_2}),\ {m_b}({x_2})} \right)/{x_2},\ ...\ } \right\}} \end{array}\end{equation*}\end{document}