Table 9. Comparison of proposed operators with some exiting operators.

Authors	AOs	Ranking of alternatives	The optimal alternative
Riaz et al. (2020)	q-ROPFEWA	${\xi }_3^{\eta }>{\xi }_4^{\eta }>{\xi }_1^{\eta }>{\xi }_2^{\eta }>{\xi }_5^{\eta }$	${\xi }_3^{\eta }$
	q-ROPFEOWA	${\xi }_3^{\eta }>{\xi }_4^{\eta }>{\xi }_2^{\eta }>{\xi }_5^{\eta }>{\xi }_1^{\eta }$	${\xi }_3^{\eta }$
Liu & Wang (2018)	q-ROPFWA	${\xi }_3^{\eta }>{\xi }_4^{\eta }>{\xi }_2^{\eta }>{\xi }_1^{\eta }>{\xi }_5^{\eta }$	${\xi }_3^{\eta }$
	q-ROPFWG	${\xi }_3^{\eta }>{\xi }_4^{\eta }>{\xi }_2^{\eta }>{\xi }_5^{\eta }>{\xi }_1^{\eta }$	${\xi }_3^{\eta }$
Jana, Muhiuddin & Pal (2019)	q-ROPFDWA	${\xi }_3^{\eta }>{\xi }_4^{\eta }>{\xi }_2^{\eta }>{\xi }_1^{\eta }>{\xi }_5^{\eta }$	${\xi }_3^{\eta }$
	q-ROPFDWG	${\xi }_3^{\eta }>{\xi }_4^{\eta }>{\xi }_2^{\eta }>{\xi }_5^{\eta }>{\xi }_1^{\eta }$	${\xi }_3^{\eta }$
Peng, Dai & Garg (2018)	q-ROPFEWA	${\xi }_3^{\eta }>{\xi }_4^{\eta }>{\xi }_2^{\eta }>{\xi }_1^{\eta }>{\xi }_5^{\eta }$	${\xi }_3^{\eta }$
	q-ROPFEWG	${\xi }_3^{\eta }>{\xi }_1^{\eta }>{\xi }_2^{\eta }>{\xi }_4^{\eta }>{\xi }_5^{\eta }$	${\xi }_3^{\eta }$
Farid & Riaz (2023)	q-ROPFAAWA	${\xi }_3^{\eta }>{\xi }_4^{\eta }>{\xi }_2^{\eta }>{\xi }_1^{\eta }>{\xi }_5^{\eta }$	${\xi }_3^{\eta }$
	q-ROPFAAWG	${\xi }_3^{\eta }>{\xi }_1^{\eta }>{\xi }_2^{\eta }>{\xi }_4^{\eta }>{\xi }_5^{\eta }$	${\xi }_3^{\eta }$
Proposed	DQROPFEWA	${\xi }_3^{\eta }>{\xi }_4^{\eta }>{\xi }_2^{\eta }>{\xi }_1^{\eta }>{\xi }_5^{\eta }$	${\xi }_3^{\eta }$
	DQROPFEWG	${\xi }_3^{\eta }>{\xi }_2^{\eta }>{\xi }_4^{\eta }>{\xi }_5^{\eta }>{\xi }_1^{\eta }$	${\xi }_3^{\eta }$