Table 7 The unified probabilistic hesitant fuzzy decision matrix.

From: An innovative probabilistic hesitant fuzzy set MCDM perspective for selecting flexible packaging bags after the prohibition on single-use plastics

 

\(P_1\)

\(P_2\)

\(P_3\)

\(P_4\)

\(Q_1\)

{\(\langle 0.2,0.2\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.\rangle ,\langle 0.2,0.1\rangle\),

{\(\langle 0.1,0.2\rangle ,\langle 0.1,0.1\rangle ,\langle 0.1,0.1\rangle ,\langle 0.1,0.1\rangle\),

{\(\langle 0.1,0.2\rangle ,\langle 0.1,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle\),

{\(\langle 0.2,0.2\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.3,0.1\rangle\),

 

\(\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.2\rangle\)}

\(\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.2\rangle\)}

\(\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.2\rangle\)}

\(\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.2\rangle\)}

\(Q_2\)

{\(\langle 0.1,0.2\rangle ,\langle 0.1,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle\),

{\(\langle 0.2,0.2\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle\),

{\(\langle 0.2,0.2\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle\),

{\(\langle 0.1,0.2\rangle ,\langle 0.1,0.1\rangle ,\langle 0.1,0.1\rangle ,\langle 0.1,0.1\rangle\),

 

\(\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.2\rangle\)}

\(\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.2\rangle\)}

\(\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.2\rangle\)}

\(\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.2\rangle\)}

\(Q_3\)

{\(\langle 0.6,0.2\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle\),

{\(\langle 0.7,0.2\rangle ,\langle 0.7,0.1\rangle ,\langle 0.7,0.1\rangle ,\langle 0.7,0.1\rangle\),

{\(\langle 0.5,0.2\rangle ,\langle 0.5,0.1\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle\),

{\(\langle 0.6,0.2\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle ,\langle 0.7,0.1\rangle ,\)

 

\(\langle 0.7,0.1\rangle ,\langle 0.7,0.1\rangle ,\langle 0.7,0.1\rangle ,\langle 0.7,0.2\rangle\)}

\(\langle 0.7,0.1\rangle ,\langle 0.7,0.1\rangle ,\langle 0.8,0.1\rangle ,\langle 0.8,0.2\rangle\)}

\(\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.2\rangle\)}

\(\langle 0.7,0.1\rangle ,\langle 0.7,0.1\rangle ,\langle 0.7,0.1\rangle ,\langle 0.7,0.2\rangle\)}

\(Q_4\)

{\(\langle 0.2,0.2\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle\),

{\(\langle 0.2,0.2\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle\),

{\(\langle 0.2,0.2\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle\),

{\(\langle 0.2,0.2\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle\),

 

\(\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.2\rangle\)}

\(\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.2\rangle\)}

\(\langle 0.2,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.2\rangle\)}

\(\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.2\rangle\)}

\(Q_5\)

{\(\langle 0.4,0.2\rangle ,\langle 0.4,0.\rangle ,\langle 0.5,0.1\rangle ,\langle 0.5,0.1\rangle\),

{\(\langle 0.3,0.2\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.4,0.1\rangle\),

{\(\langle 0.3,0.2\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle\),

{\(\langle 0.3,0.2\rangle ,\langle 0.3,0.1\rangle ,\langle 0.4,0.1\rangle ,\langle 0.4,0.1\rangle\),

 

\(\langle 0.5,0.1\rangle ,\langle 0.5,0.1\rangle ,\langle 0.5,0.1\rangle ,\langle 0.5,0.2\rangle\)}

\(\langle 0.4,0.1\rangle ,\langle 0.4,0.1\rangle ,\langle 0.4,0.1\rangle ,\langle 0.4,0.2\rangle\)}

\(\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.4,0.1\rangle ,\langle 0.4,0.2\rangle\)}

\(\langle 0.4,0.1\rangle ,\langle 0.4,0.1\rangle ,\langle 0.4,0.1\rangle ,\langle 0.4,0.2\rangle\)}

\(Q_6\)

{\(\langle 0.5,0.2\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle\),

{\(\langle 0.5,0.2\rangle ,\langle 0.5,0.1\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle\),

{\(\langle 0.6,0.2\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle\),

{\(\langle 0.5,0.2\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle\),

 

\(\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.2\rangle\)}

\(\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.2\rangle\)}

\(\langle 0.7,0.1\rangle ,\langle 0.7,0.1\rangle ,\langle 0.7,0.1\rangle ,\langle 0.7,0.2\rangle\)}

\(\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.2\rangle\)}

 

\(P_5\)

\(P_6\)

\(P_7\)

\(P_8\)

\(Q_1\)

{\(\langle 0.7,0.2\rangle ,\langle 0.7,0.1\rangle ,\langle 0.7,0.1\rangle ,\langle 0.7,0.1\rangle\),

{\(\langle 0.1,0.2\rangle ,\langle 0.1,0.1\rangle ,\langle 0.1,0.1\rangle ,\langle 0.1,0.1\rangle\),

{\(\langle 0.4,0.2\rangle ,\langle 0.4,0.1\rangle ,\langle 0.4,0.1\rangle ,\langle 0.5,0.1\rangle\),

{\(\langle 0.4,0.2\rangle ,\langle 0.4,0.1\rangle ,\langle 0.5,0.1\rangle ,\langle 0.5,0.1\rangle\),

 

\(\langle 0.8,0.1\rangle ,\langle 0.8,0.1\rangle ,\langle 0.8,0.1\rangle ,\langle 0.8,0.2\rangle\)}

\(\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.2\rangle\)}

\(\langle 0.5,0.1\rangle ,\langle 0.5,0.1\rangle ,\langle 0.5,0.1\rangle ,\langle 0.5,0.2\rangle\)}

\(\langle 0.5,0.1\rangle ,\langle 0.5,0.1\rangle ,\langle 0.5,0.1\rangle ,\langle 0.5,0.2\rangle\)}

\(Q_2\)

{\(\langle 0.8,0.2\rangle ,\langle 0.8,0.1\rangle ,\langle 0.9,0.1\rangle ,\langle 0.9,0.1\rangle\),

{\(\langle 0.3,0.2\rangle ,\langle 0.3,0.1\rangle ,\langle 0.4,0.1\rangle ,\langle 0.4,0.1\rangle\),

{\(\langle 0.5,0.2\rangle ,\langle 0.5,0.1\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle\),

{\(\langle 0.6,0.2\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle\),

 

\(\langle 0.9,0.1\rangle ,\langle 0.9,0.1\rangle ,\langle 0.9,0.1\rangle ,\langle 0.9,0.2\rangle\)}

\(\langle 0.4,0.1\rangle ,\langle 0.4,0.1\rangle ,\langle 0.4,0.1\rangle ,\langle 0.4,0.2\rangle\)}

\(\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.2\rangle\)}

\(\langle 0.7,0.1\rangle ,\langle 0.7,0.1\rangle ,\langle 0.7,0.1\rangle ,\langle 0.7,0.2\rangle\)}

\(Q_3\)

{\(\langle 0.1,0.2\rangle ,\langle 0.1,0.1\rangle ,\langle 0.1,0.1\rangle ,\langle 0.2,0.1\rangle\),

{\(\langle 0.3,0.2\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle\),

{\(\langle 0.1,0.2\rangle ,\langle 0.1,0.1\rangle ,\langle 0.1,0.1\rangle ,\langle 0.1,0.1\rangle\),

{\(\langle 0.1,0.2\rangle ,\langle 0.1,0.1\rangle ,\langle 0.1,0.1\rangle ,\langle 0.2,0.1\rangle\),

 

\(\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.2\rangle\)}

\(\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.4,0.2\rangle\)}

\(\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.2\rangle\)}

\(\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.2\rangle\)}

\(Q_4\)

{\(\langle 0.6,0.2\rangle ,\langle 0.7,0.1\rangle ,\langle 0.7,0.1\rangle ,\langle 0.7,0.1\rangle\),

{\(\langle 0.7,0.2\rangle ,\langle 0.7,0.1\rangle ,\langle 0.8,0.1\rangle ,\langle 0.8,0.1\rangle\),

{\(\langle 0.3,0.2\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle\),

{\(\langle 0.4,0.2\rangle ,\langle 0.4,0.1\rangle ,\langle 0.4,0.1\rangle ,\langle 0.4,0.1\rangle\),

 

\(\langle 0.7,0.1\rangle ,\langle 0.7,0.1\rangle ,\langle 0.7,0.1\rangle ,\langle 0.7,0.2\rangle\)}

\(\langle 0.8,0.1\rangle ,\langle 0.8,0.1\rangle ,\langle 0.8,0.1\rangle ,\langle 0.8,0.2\rangle\)}

\(\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.4,0.2\rangle\)}

\(\langle 0.4,0.1\rangle ,\langle 0.4,0.1\rangle ,\langle 0.5,0.1\rangle ,\langle 0.5,0.2\rangle\)}

\(Q_5\)

{\(\langle 0.4,0.2\rangle ,\langle 0.4,0.1\rangle ,\langle 0.4,0.1\rangle ,\langle 0.4,0.1\rangle\),

{\(\langle 0.6,0.2\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle ,\langle 0.7,0.1\rangle ,\)

{\(\langle 0.2,0.2\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle\),

{\(\langle 0.5,0.2\rangle ,\langle 0.5,0.1\rangle ,\langle 0.5,0.1\rangle ,\langle 0.6,0.1\rangle\),

 

\(\langle 0.5,0.1\rangle ,\langle 0.5,0.1\rangle ,\langle 0.5,0.1\rangle ,\langle 0.5,0.2\rangle\)}

\(\langle 0.7,0.1\rangle ,\langle 0.7,0.1\rangle ,\langle 0.7,0.1\rangle ,\langle 0.7,0.2\rangle\)}

\(\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.2\rangle\)}

\(\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.2\rangle\)}

\(Q_6\)

{\(\langle 0.3,0.2\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle\),

{\(\langle 0.5,0.2\rangle ,\langle 0.5,0.1\rangle ,\langle 0.5,0.1\rangle ,\langle 0.5,0.1\rangle\),

{\(\langle 0.2,0.2\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle\),

{\(\langle 0.4,0.2\rangle ,\langle 0.4,0.1\rangle ,\langle 0.4,0.1\rangle ,\langle 0.4,0.1\rangle\),

 

\(\langle 0.3,0.1\rangle ,\langle .4,0.1\rangle ,\langle 0.4,0.1\rangle ,\langle 0.4,0.2\rangle\)}

\(\langle 0.7,0.1\rangle ,\langle 0.7,0.1\rangle ,\langle 0.7,0.1\rangle ,\langle 0.7,0.2\rangle\)}

\(\langle 0.2,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.2\rangle\)}

\(\langle 0.4,0.1\rangle ,\langle 0.4,0.1\rangle ,\langle 0.4,0.1\rangle ,\langle 0.5,0.2\rangle\)}

 

\(P_9\)

\(P_{10}\)

\(P_{11}\)

\(P_{12}\)

\(Q_1\)

{\(\langle 0.1,0.2\rangle ,\langle 0.1,0.1\rangle ,\langle 0.1,0.1\rangle ,\langle 0.1,0.1\rangle\),

{\(\langle 0.7,0.2\rangle ,\langle 0.8,0.1\rangle ,\langle 0.8,0.1\rangle ,\langle 0.8,0.1\rangle\),

{\(\langle 0.2,0.2\rangle ,\langle 0.2,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle\),

{\(\langle 0.3,0.2\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.4,0.1\rangle\),

 

\(\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.2\rangle\)}

\(\langle 0.8,0.1\rangle ,\langle 0.8,0.1,\rangle ,\langle ,0.8,0.1\rangle ,\langle 0.8,0.2\rangle\)}

\(\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.2\rangle\)}

\(\langle 0.4,0.1\rangle ,\langle 0.4,0.1\rangle ,\langle 0.4,0.1\rangle ,\langle 0.4,0.2\rangle\)}

\(Q_2\)

{\(\langle 0.5,0.2\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle\),

{\(\langle 0.8,0.2\rangle ,\langle 0.8,0.1\rangle ,\langle 0.8,0.1\rangle ,\langle 0.8,0.1\rangle\),

{\(\langle 0.1,0.2\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle\),

{\(\langle 0.1,0.2\rangle ,\langle 0.1,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle\),

 

\(\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.2\rangle\)}

\(\langle 0.8,0.1\rangle ,\langle 0.8,0.1\rangle ,\langle 0.8,0.1\rangle ,\langle 0.9,0.2\rangle\)}

\(\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.2\rangle\)}

\(\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.2\rangle\)}

\(Q_3\)

{\(\langle 0.3,0.2\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle\),

{\(\langle 0.2,0.2\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle\),

{\(\langle 0.4,0.2\rangle ,\langle 0.4,0.1\rangle ,\langle 0.4,0.1\rangle ,\langle 0.5,0.1\rangle\),

{\(\langle 0.2,0.2\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle\),

 

\(\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.4,0.2\rangle\)}

\(\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.2\rangle\)}

\(\langle 0.5,0.1\rangle ,\langle 0.4,0.1\rangle ,\langle 0.5,0.1\rangle ,\langle 0.5,0.2\rangle\)}

\(\langle 0.2,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.2\rangle\)}

\(Q_4\)

{\(\langle 0.2,0.2\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle\),

{\(\langle 0.2,0.2\rangle ,\langle 0.2,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle\),

{\(\langle 0.3,0.2\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.4,0.1\rangle\),

{\(\langle 0.3,0.2\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.4,0.1\rangle\),

 

\(\langle 0.2,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.2\rangle\)}

\(\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.2\rangle\)}

\(\langle 0.4,0.1\rangle ,\langle 0.4,0.1\rangle ,\langle 0.4,0.1\rangle ,\langle 0.4,0.2\rangle\)}

\(\langle 0.4,0.1\rangle ,\langle 0.4,0.1\rangle ,\langle 0.4,0.1\rangle ,\langle 0.4,0.2\rangle\)}

\(Q_5\)

{\(\langle 0.1,0.2\rangle ,\langle 0.1,0.1\rangle ,\langle 0.1,0.1\rangle ,\langle 0.2,0.1\rangle\),

{\(\langle 0.1,0.2\rangle ,\langle 0.1,0.1\rangle ,\langle 0.1,0.1\rangle ,\langle 0.1,0.1\rangle\),

{\(\langle 0.6,0.2\rangle ,\langle 0.7,0.1\rangle ,\langle 0.7,0.1\rangle ,\langle 0.7,0.1\rangle\),

{\(\langle 0.1,0.2\rangle ,\langle 0.1,0.1\rangle ,\langle 0.1,0.1\rangle ,\langle 0.1,0.1\rangle\),

 

\(\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.2\rangle\)}

\(\langle 0.1,0.1\rangle ,\langle 0.1,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.2\rangle\)}

\(\langle 0.7,0.1\rangle ,\langle 0.7,0.1\rangle ,\langle 0.7,0.1\rangle ,\langle 0.7,0.2\rangle\)}

\(\langle 0.1,0.1\rangle ,\langle 0.1,0.1\rangle ,\langle 0.1,0.1\rangle ,\langle 0.2,0.2\rangle\)}

\(Q_6\)

{\(\langle 0.1,0.2\rangle ,\langle 0.1,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle\),

{\(\langle 0.3,0.2\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.4,0.1\rangle\),

{\(\langle 0.2,0.2\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.3,0.1\rangle\),

{\(\langle 0.2,0.2\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle\),

 

\(\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.2\rangle\)}

\(\langle 0.4,0.1\rangle ,\langle 0.4,0.1\rangle ,\langle 0.4,0.1\rangle ,\langle 0.4,0.2\rangle\)}

\(\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.2\rangle\)}

\(\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.2\rangle\)}

 

\(P_{13}\)

\(P_{14}\)

\(P_{15}\)

\(P_{16}\)

\(Q_1\)

{\(\langle 0.7,0.2\rangle ,\langle 0.7,0.1\rangle ,\langle 0.7,0.1\rangle ,\langle 0.7,0.1\rangle\),

{\(\langle 0.6,0.2\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle\),

{\(\langle 0.7,0.2\rangle ,\langle 0.7,0.1\rangle ,\langle 0.7,0.1\rangle ,\langle 0.7,0.1\rangle\),

{\(\langle 0.4,0.2\rangle ,\langle 0.5,0.1\rangle ,\langle 0.5,0.1\rangle ,\langle 0.5,0.1\rangle\),

 

\(\langle 0.8,0.1\rangle ,\langle 0.8,0.1\rangle ,\langle 0.8,0.1\rangle ,\langle 0.8,0.2\rangle\)}

\(\langle 0.7,0.1\rangle ,\langle 0.7,0.1\rangle ,\langle 0.7,0.1\rangle ,\langle 0.7,0.2\rangle\)}

\(\langle 0.7,0.1\rangle ,\langle 0.7,0.1\rangle ,\langle 0.8,0.1\rangle ,\langle 0.8,0.2\rangle\)}

\(\langle 0.5,0.1\rangle ,\langle 0.5,0.1\rangle ,\langle 0.5,0.1\rangle ,\langle 0.5,0.2\rangle\)}

\(Q_2\)

{\(\langle 0.8,0.2\rangle ,\langle 0.8,0.1\rangle ,\langle 0.9,0.1\rangle ,\langle 0.9,0.1\rangle\),

{\(\langle 0.7,0.2\rangle ,\langle 0.8,0.1\rangle ,\langle 0.8,0.1\rangle ,\langle 0.8,0.1\rangle\),

{\(\langle 0.8,0.2\rangle ,\langle 0.8,0.1\rangle ,\langle 0.9,0.1\rangle ,\langle 0.9,0.1\rangle\),

{\(\langle 0.6,0.2\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle ,\langle 0.7,0.1\rangle\),

 

\(\langle 0.9,0.1\rangle ,\langle 0.9,0.1\rangle ,\langle 0.9,0.1\rangle ,\langle 0.9,0.2\rangle\)}

\(\langle 0.8,0.1\rangle ,\langle 0.8,0.1\rangle ,\langle 0.8,0.1\rangle ,\langle 0.8,0.2\rangle\)}

\(\langle 0.9,0.1\rangle ,\langle 0.9,0.1\rangle ,\langle 0.9,0.1\rangle ,\langle 0.9,0.2\rangle\)}

\(\langle 0.7,0.1\rangle ,\langle 0.7,0.1\rangle ,\langle 0.7,0.1\rangle ,\langle 0.7,0.2\rangle\)}

\(Q_3\)

{\(\langle 0.1,0.2\rangle ,\langle 0.1,0.1\rangle ,\langle 0.1,0.1\rangle ,\langle 0.1,0.1\rangle\),

{\(\langle 0.1,0.2\rangle ,\langle 0.1,0.1\rangle ,\langle 0.1,0.1\rangle ,\langle 0.1,0.1\rangle\),

{\(\langle 0.4,0.2\rangle ,\langle 0.4,0.1\rangle ,\langle 0.4,0.1\rangle ,\langle 0.4,0.1\rangle\),

{\(\langle 0.2,0.2\rangle ,\langle 0.2,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle\),

 

\(\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.2\rangle\)}

\(\langle 0.1,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.2\rangle\)}

\(\langle 0.5,0.1\rangle ,\langle 0.5,0.1\rangle ,\langle 0.5,0.1\rangle ,\langle 0.5,0.2\rangle\)}

\(\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.2\rangle\)}

\(Q_4\)

{\(\langle 0.5,0.2\rangle ,\langle 0.5,0.1\rangle ,\langle 0.5,0.1\rangle ,\langle 0.5,0.1\rangle\),

{\(\langle 0.7,0.2\rangle ,\langle 0.8,0.1\rangle ,\langle 0.8,0.1\rangle ,\langle 0.8,0.1\rangle\),

{\(\langle 0.7,0.2\rangle ,\langle 0.8,0.1\rangle ,\langle 0.8,0.1\rangle ,\langle 0.8,0.1\rangle\),

{\(\langle 0.4,0.2\rangle ,\langle 0.4,0.1\rangle ,\langle 0.4,0.1\rangle ,\langle 0.4,0.1\rangle\),

 

\(\langle 0.5,0.1\rangle ,\langle 0.5,0.1\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.2\rangle\)}

\(\langle 0.8,0.1\rangle ,\langle 0.8,0.1\rangle ,\langle 0.8,0.1\rangle ,\langle 0.8,0.2\rangle\)}

\(\langle 0.8,0.1\rangle ,\langle 0.8,0.1\rangle ,\langle 0.8,0.1\rangle ,\langle 0.8,0.2\rangle\)}

\(\langle 0.5,0.1\rangle ,\langle 0.5,0.1\rangle ,\langle 0.5,0.1\rangle ,\langle 0.5,0.2\rangle\)}

\(Q_5\)

{\(\langle 0.2,0.2\rangle ,\langle 0.2,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle\),

{\(\langle 0.5,0.2\rangle ,\langle 0.5,0.1\rangle ,\langle 0.5,0.1\rangle ,\langle 0.5,0.1\rangle\),

{\(\langle 0.6,0.2\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle\),

{\(\langle 0.3,0.2\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle\),

 

\(\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.2\rangle\)}

\(\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.2\rangle\)}

\(\langle 0.6,0.1\rangle ,\langle 0.7,0.1\rangle ,\langle 0.7,0.1\rangle ,\langle 0.7,0.2\rangle\)}

\(\langle 0.4,0.1\rangle ,\langle 0.4,0.1\rangle ,\langle 0.4,0.1\rangle ,\langle 0.4,0.2\rangle\)}

\(Q_6\)

{\(\langle 0.1,0.2\rangle ,\langle 0.1,0.1\rangle ,\langle 0.1,0.1\rangle ,\langle 0.1,0.1\rangle\),

{\(\langle 0.1,0.2\rangle ,\langle 0.1,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle\),

{\(\langle 0.6,0.2\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle\)

{\(\langle 0.3,0.2\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle\),

 

\(\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.2\rangle\)}

\(\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.1\rangle ,\langle 0.2,0.2\rangle\)}

\(\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle ,\langle 0.6,0.1\rangle ,\langle 0.7,0.2\rangle\)}

\(\langle 0.3,0.1\rangle ,\langle 0.3,0.1\rangle ,\langle 0.4,0.1\rangle ,\langle 0.4,0.2\rangle\)}

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