Table 20 A comparison of the characteristics and differences for different methods.

From: A generalized interval-valued p,q Rung orthopair fuzzy Maclaurin symmetric mean and modified regret theory based sustainable supplier selection method

Methods

Information representation

Operational laws

Information aggregation

Psychological state and risk attitude

Interrelation between attributes

Similarity measure

IVPQ-ROFWA operator28

IVPQ-ROFS

Algebraic TN and TCN

WA operator

No

No

Distance

IVQ-ROFWMSM operator47

IVQ-ROFS

Algebraic TN and TCN

WMSM operator

No

Yes

None

IVQ-ROFWDMSM operator47

IVQ-ROFS

Algebraic TN and TCN

WDMSM operator

No

Yes

None

IVFF TOPSIS23

IVFFS

Algebraic TN and TCN

WA operator

No

No

Distance

IVQ-ROF VIKOR31

IVQ-ROFS

Algebraic TN and TCN

WA operator

No

No

Distance

IVPQ-ROF TODIM28

IVPQ-ROFS

Algebraic TN and TCN

WA operator

Yes

No

Distance

IVPF TODIM66

IVPFS

Algebraic TN and TCN

WA operator

Yes

No

Distance

The proposed method

IVPQ-ROFS

ATN and ATCN

GMSM operator

Yes

Yes

Projection