\documentclass[tikz,border=5pt]{standalone}
\usepackage[utf8]{inputenc}
\usepackage{amsmath}
\usepackage{amsthm,amssymb}
\usepackage[dvipsnames]{xcolor}
\usepackage{tikz}
\usetikzlibrary{arrows.meta, bending, matrix, positioning}
\begin{document}
\begin{tikzpicture}[scale = 0.75, node/.style={rectangle, rounded corners, minimum width=1cm, fill=lightgray!20}]
\node[node] (15) at (0, 0) {$\emptyset$};
\node[node] (14) at (0,-1) { \{d\}};
\node[node] (13) at (0,-2) {\{c, d\}};
\node[node] (12) at (0,-3) {\{a, c, d\}};
\node[node] (5) at (-1.1,-4) {\{a, c, d\}};
\node[node] (4) at (-1.1,-5) {\{a, c\}};
\node[node] (3) at (-1.1,-6) {\{a, b, c\}};
\node[node] (2) at (-1.1,-7) {\{a, b\}};
\node[node] (1) at (-1.1,-8) {\{a\}};
\node[node] (0) at (-1.1,-9) {$\emptyset$};
\node[node] (11) at (1.1,-4) {\{a, c, d\}};
\node[node] (10) at (1.1,-5) {\{a, d \}};
\node[node] (9) at (1.1,-6) {\{d\}};
\node[node] (8) at (1.1,-7) {\{d, e\}};
\node[node] (7) at (1.1,-8) {\{d\}};
\node[node] (6) at (1.1,-9) {$\emptyset$};
\draw (0) -- (1);
\draw (1) -- (2);
\draw (2) -- (3);
\draw (3) -- (4);
\draw (4) -- (5);
\draw (5) -- (12);
\draw (6) -- (7);
\draw (7) -- (8);
\draw (8) -- (9);
\draw (9) -- (10);
\draw (10) -- (11);
\draw (11) -- (12);
\draw (12) -- (13);
\draw (13) -- (14);
\draw (14) -- (15);
\node at ([xshift=-2mm]0.west) {0};
\node at ([xshift=-2mm]1.west) {1};
\node at ([xshift=-2mm]2.west) {2};
\node at ([xshift=-2mm]3.west) {3};
\node at ([xshift=-2mm]4.west) {4};
\node at ([xshift=-1mm]5.west) {5};
\node at ([xshift=-2mm]6.west) {6};
\node at ([xshift=-2mm]7.west) {7};
\node at ([xshift=-2mm]8.west) {8};
\node at ([xshift=-2mm]9.west) {9};
\node at ([xshift=-2mm]10.west) {10};
\node at ([xshift=-2mm]11.west) {11};
\node at ([xshift=-2mm]12.west) {12};
\node at ([xshift=-2mm]13.west) {13};
\node at ([xshift=-2mm]14.west) {14};
\node at ([xshift=-2mm]15.west) {15};
\matrix (12-table) [matrix of nodes, nodes in empty cells,
nodes={ minimum height=5mm, anchor= center, scale =0.7, anchor=west}, rounded corners, row sep=-\pgflinewidth, left = 9mm of 13, fill = lightgray!10] {
$F:(\{a,c,d\},\{ad,cd,da,dc\}),$ \\
$L:(\{a,c\},\{d\},\emptyset), lw:(\{d\},\emptyset), p:0.504$ \\ \hline
$\dots$ \\
};
\foreach \rowIndex [count=\rowNumber from 1] in {1, 3} {
\node[left=1mm of 12-table-\rowIndex-1.west, anchor=east, scale=0.7] { \rowNumber};
}
\node[left=10mm of 12-table.west, anchor=south west, scale=0.7] (title12) {$\tau_{12}$};
\matrix (1-table) [matrix of nodes, nodes in empty cells,
nodes={ minimum height=5mm, anchor= center, scale =0.7, anchor=west}, rounded corners, row sep=-\pgflinewidth, left = 5mm of 0, fill = lightgray!10] {
$F:(\{a\},\emptyset), L:(\{a\},\emptyset,\emptyset),lw:(\emptyset,\emptyset), p:0.8$ \\
};
\foreach \rowIndex [count=\rowNumber from 1] in {1} {
\node[left=1mm of 1-table-\rowIndex-1.west, anchor=east, scale=0.7] { \rowNumber};
}
\node[left=5mm of 1-table.west, anchor=south west, scale=0.7] (title1) {$\tau_{1}$};
\matrix (13-table) [matrix of nodes, nodes in empty cells,
nodes={ minimum height=5mm, anchor= center, scale =0.7, anchor=west}, rounded corners, row sep=-\pgflinewidth, left = 4mm of 15, fill = lightgray!10] {
$F\!:\!(\{c,d\},\{cd,dc\}),L\!:\!(\{c\},\{d\},\emptyset),lw\!:\!(\{d\},\emptyset), p\!:\!0.72$\\
};
\node[above=0mm of 13-table.north west, anchor=south west, scale=0.7] (title13) {$\tau_{13}$};
\matrix (5-table) [matrix of nodes, nodes in empty cells,
nodes={ minimum height=5mm, anchor= center, scale =0.7, anchor=west}, rounded corners, row sep=-\pgflinewidth, left = 5mm of 4, fill = lightgray!10] {
$F:(\{a,c,d\},\{ad,da,cd,dc\})$, \\
$ L:(\{a,c\},\{d\},\emptyset),lw:(\{d\},\emptyset), p:0.72$ \\ \hline
\dots \\
};
\foreach \rowIndex [count=\rowNumber from 1] in {1} {
\node[left=1mm of 5-table-\rowIndex-1.west, anchor=east, scale=0.7] { \rowNumber};
}
\node[left=7mm of 5-table.west, anchor=south west, scale=0.7] (title5) {$\tau_{5}$};
\matrix (11-table) [matrix of nodes, nodes in empty cells,
nodes={ minimum height=5mm, anchor= center, scale =0.7, anchor=west}, rounded corners, row sep=-\pgflinewidth, left = 5mm of 2, fill = lightgray!10] {
$F:(\{a,c,d\},\{ad,cd,da,dc\}),$ \\
$L:(\{a,c\},\{d\},\emptyset), lw:(\{d\},\emptyset), p:0.504$ \\ \hline
\dots \\
};
\foreach \rowIndex [count=\rowNumber from 1] in {1} {
\node[left=1mm of 11-table-\rowIndex-1.west, anchor=east, scale=0.7] { \rowNumber};
}
\node[left=7mm of 11-table.west, anchor=south west, scale=0.7] (title11) {$\tau_{11}$};
\end{tikzpicture}
\end{document}