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如何在 Latex 中绘制梯形直觉模糊数图？

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如何在 Latex 中绘制梯形直觉模糊数图？

如果我的函数如下所示，那么如何在 latex 中绘制它的图形？我需要在一张图中同时显示两个函数的图形。在此处输入图片描述

答案1

在我的论文中，我使用类似这样的代码来表示我的模糊隶属函数。您可以轻松地将此代码应用于您的案例。为此，您需要更改用于表示函数及其填充的路径，并更改 X 轴的标签。

这是该代码的结果（使用 lualatex 编译）： 梯形模糊函数

\documentclass[tikz]{standalone}

\usepackage{xcolor}
\definecolor{RdBu-9-1}{RGB}{178,24,43}
\definecolor{RdBu-9-2}{RGB}{214,96,77}
\definecolor{RdBu-9-3}{RGB}{244,165,130}
\definecolor{RdBu-9-4}{RGB}{253,219,199}
\definecolor{RdBu-9-5}{RGB}{247,247,247}
\definecolor{RdBu-9-6}{RGB}{209,229,240}
\definecolor{RdBu-9-7}{RGB}{146,197,222}
\definecolor{RdBu-9-8}{RGB}{67,147,195}
\definecolor{RdBu-9-9}{RGB}{33,102,172}


\usepackage{tikz}

\usetikzlibrary{patterns}
\usetikzlibrary{fadings}

% Styles
\tikzset{%
  ffa/.style={%
    pattern=north west lines,
    pattern color=RdBu-9-2, 
    draw=none
  },
  ffa2/.style={%
    pattern=north east lines,
    pattern color=RdBu-9-8, 
    draw=none
  },
  ffa_fade/.style={%
    ffa, 
    path fading=east
  },
  ffa_fade_m/.style={%
    ffa, 
    path fading=west
  },
  ffa2_fade/.style={%
    ffa2, 
    path fading=east
  },
  ffa2_fade_m/.style={%
    ffa2, 
    path fading=west
  },
  ffc/.style={%
    draw=RdBu-9-1, 
    line width=1
  },
  ffc2/.style={%
    draw=RdBu-9-9, 
    line width=1
  },
  % Rendu ligne transparente sans apparition des patterns en dessous
  ffc_fade/.style={%
    ffc, 
    draw=white, 
    postaction={%
      draw=RdBu-9-1, 
      path fading=east
    }
  },
  ffc_fade_m/.style={%
    ffc, 
    draw=white, 
    postaction={%
      draw=RdBu-9-1, 
      path fading=west
    }
  },
  ffc2_fade/.style={%
    ffc2, 
    draw=white, 
    postaction={%
      draw=RdBu-9-9, 
      path fading=east
    }
  },
  ffc2_fade_m/.style={%
    ffc2, 
    draw=white, 
    postaction={%
      draw=RdBu-9-9, 
      path fading=west
    }
  }
}



\begin{document}
\begin{tikzpicture}
  \def\decalageX{-.2}
  \def\decalageY{-.2}

  % functions
  \begin{scope}[transparency group]
    \begin{scope}
      \path[ffa]  (3,0) -- (3.5, 2) -- (5.5,2) -- (6,0) -- cycle;
      \path[ffa2]  (0,0) -- (0,2) -- (3,2) -- (3.5, 0) -- (5.5,0) --
      (6,2) --(9,2) -- (9,0) -- cycle;
    \end{scope}
    \begin{scope}
      \path[ffc] (0,0) -- (3,0) -- (3.5, 2) --(5.5,2) -- (6,0) -- (9,0) ;
      \path[ffc2] (0,2) -- (3,2) -- (3.5, 0) -- (5.5,0) -- (6,2) -- (9,2) ;
    \end{scope}
  \end{scope}
  % 
  % Axis
  \begin{scope}
    % Axis X
    \begin{scope}
      % Draw axis 
      \draw[|-|] (0, \decalageX) --++ (9, 0) coordinate (x axis);
      % Add gradiations with a loop
      % You can add the labels in the {}, like 2.5/{32}
      \foreach \n/\t in {0.5/{},1.5/{},2.5/{},3.5/{},4.5/{},5.5/{},6.5/{},7.5/{},8.5/{}}
      {
        % Graduation
        \draw[-] (\n, \decalageX - .05) --++ (0, .1);
        % Graduation label
        \node[below, font=\footnotesize] at (\n, \decalageX - .05) {\t};
      }
      % label of axis
      \node[below left, xshift=-.4cm, yshift=-.1cm, font=\small] at (x
      axis) {\itshape x value};
    \end{scope}
    % Axis Y
    \begin{scope}
      \draw[-] (\decalageY ,0) --++ (0, 2) coordinate (y axis);
      % Graduations
      \foreach \n/\t in {0/{0},2/{1}}
      {
        \draw[-] (\decalageY -.05, \n) --++ (.1, 0);
        \node[left, font=\footnotesize] at (\decalageY -.05, \n) {\t};
      }
      % Label
      \node[above] at (y axis) {$\mu$};
    \end{scope}
  \end{scope}
  \begin{scope}
    % B1
    \draw[ffc,line width=.5] (3,\decalageY) -- (3,0);
    \draw[fill, RdBu-9-1] (3,\decalageY) circle (2pt);
    \draw[fill, RdBu-9-1] (3,0) circle (2pt);
    \node[below] at (3,\decalageY) {\(b1\)};
    % B2
    \draw[ffc,line width=.5] (3.5,\decalageY) -- (3.5,2);
    \draw[fill, RdBu-9-1] (3.5,\decalageY) circle (2pt);
    \draw[fill, RdBu-9-1] (3.5,2) circle (2pt);
    \node[above] at (3.5,2) {\(b2\)};
    % B3
    \draw[ffc,line width=.5] (5.5,\decalageY) -- (5.5,2);
    \draw[fill, RdBu-9-1] (5.5,\decalageY) circle (2pt);
    \draw[fill, RdBu-9-1] (5.5,2) circle (2pt);
    \node[above] at (5.5,2) {\(b3\)};
    % B4
    \draw[ffc,line width=.5] (6,\decalageY) -- (6,0);
    \draw[fill, RdBu-9-1] (6,\decalageY) circle (2pt);
    \draw[fill, RdBu-9-1] (6,0) circle (2pt);
    \node[below] at (6,\decalageY) {\(b4\)};
  \end{scope}
\end{tikzpicture}
\end{document}

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