¿Cómo trazar un gráfico de números difusos intuicionistas trapezoidales en Latex?

Question

Si mi función es la siguiente, ¿cómo dibujar su gráfica en látex? Necesito tener la gráfica de ambas funciones en una sola gráfica.

Answer 1

En mi tesis utilizo algo como esto para representar mis funciones de membresía difusas. Puede adaptar fácilmente este código a su caso. Para esto necesitas cambiar la ruta usando para representar las funciones y su relleno y cambiar las etiquetas del eje X.

Este es el resultado de este código (compilado con lualatex):

\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}