Table 8 The normalized unified probabilistic hesitant fuzzy decision matrix (NUPHFDM).

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

 

\(P_1\)

\(P_2\)

\(P_3\)

\(P_4\)

\(P_5\)

\(P_6\)

\(P_7\)

\(P_8\)

\(P_9\)

\(P_{10}\)

\(P_{11}\)

\(P_{12}\)

\(P_{13}\)

\(P_{14}\)

\(P_{15}\)

\(P_{16}\)

\(Q_1\)

0.68333

1

1

0.56667

0.882

0.1929

0.8067

0.7238

1

0.1667

0.666667

0.4667

0.8624

0.8339

0.8403

0.7286

\(Q_2\)

1

0.58333

0.6

1

1

0.4786

1

1

0.2567

0.1569

1

1

1

1

1

1

\(Q_3\)

0.25952

0.203571

0.29333

0.22381

0.211

0.4661

0.26

0.2429

0.4667

0.3467

0.39

0.7167

0.1707

0.1786

0.5167

0.4071

\(Q_4\)

0.68333

0.53333

0.71776

0.56667

0.764

1

0.56

0.6619

0.6133

0.4833

0.4467

0.4667

0.6381

0.95

0.8972

0.6809

\(Q_5\)

0.355

0.40833

0.51667

0.4

0.5529

0.8571

0.4767

0.8619

0.95

1

0.2905

1

0.3081

0.7054

0.7361

0.5286

\(Q_6\)

0.29

0.26

0.259524

0.256667

0.4221

0.7143

0.4033

0.6476

0.9

0.85

0.7

0.6833

0.2054

0.2161

0.7139

0.5