Table 4 The ranking results acquired by six operators.

From: Some complex probabilistic hesitant fuzzy aggregation operators and their applications to multi-attribute decision making

 

\({A_1}\)

\({A_2}\)

\({A_3}\)

\({A_4}\)

\({A_5}\)

\(\text {Ranking}\)

PHFWA

0.5701

0.2550

0.4489

0.7173

0.2982

\(A_4\succ A_1\succ A_3\succ A_5\succ A_2\)

PHFWG

0.4324

0.3372

0.3792

0.5776

0.3801

\(A_4\succ A_1\succ A_5\succ A_3\succ A_2\)

CHFWA

0.4844

0.3155

0.5053

0.6640

0.3623

\(A_4\succ A_3\succ A_1\succ A_5\succ A_2\)

CHFWG

0.4224

0.2808

0.4174

0.6388

0.3479

\(A_4\succ A_1\succ A_3\succ A_5\succ A_2\)

HFWA

0.5536

0.2798

0.4662

0.7425

0.3350

\(A_4 \succ A_1 \succ A_3 \succ A_5 \succ A_2\)

HFWG

0.4558

0.2633

0.4352

0.7110

0.3209

\(A_4 \succ A_1 \succ A_3 \succ A_5 \succ A_2\)