Pythagorean 2-tuple linguistic power aggregation operators in multiple attribute decision making

Figures & data

Table 1. The Pythagorean 2-tuple linguistic decision matrix.

	G1	G2
A1	<(S4,0),(0.50,0.80)>	<(S2,0), (0.60,0.30)>
A2	<(S1,0), (0.70,0.50)>	<(S4,0), (0.70,0.20)>
A3	<(S5,0), (0.60,0.40)>	<(S1,0), (0.50,0.70)>
A4	<(S5,0), (0.80,0.10)>	<(S6,0), (0.60,0.30)>
A5	<(S3,0), (0.60,0.40)>	<(S1,0), (0.40,0.80)>
	G3	G4
A1	<(S1,0), (0.30,0.60)>	<(S3,0), (0.50,0.70)>
A2	<(S2,0), (0.70,0.20)>	<(S4,0), (0.40,0.50)>
A3	<(S4,0), (0.50,0.30)>	<(S2,0), (0.60,0.30)>
A4	<(S7,0), (0.30,0.40)>	<(S1,0), (0.50,0.60)>
A5	<(S3,0), (0.70,0.60)>	<(S1,0), (0.50,0.80)>

Source: Author calculation.

Table 2. The aggregating results of the ERP systems by the P2TLPWA (P2TLPWG) operators.

	P2TLPWA	P2TLPWG
A1	<(s3,-0.50),(0.46,0.63)>	<(s2,0.19), (0.44,0.67)>
A2	<(s3,-0.21), (0.61,0.35)>	<(s2,0.45), (0.56,0.40)>
A3	<(s3,0.10), (0.56,0.35)>	<(s3,-0.33), (0.56,0.38)>
A4	<(s4,0.17), (0.55,0.34)>	<(s3,0.03), (0.48,0.43)>
A5	<(s2,0.01), (0.58,0. 64)>	<(s2,-0.26), (0.56,0.69)>

Source: Author calculation.

Table 3. The score functions of the ERP systems.

	P2TLPWA	P2TLPWG
A1	(s1,0.02)	(s1,-0.19)
A2	(s2,-0.24)	(s1,0.42)
A3	(s2,-0.14)	(s2,-0.38)
A4	(s3,-0.47)	(s2,-0.42)
A5	(s1,-0.06)	(s1,-0.27)

Source: Author calculation.

Table 4. Ordering of the ERP systems.

	Ordering
P2TLPWA	A4﹥A3﹥A2﹥A1﹥A5
P2TLPWG	A3﹥A4﹥A2﹥A1﹥A5

Source: Author calculation.

Table 5. The aggregating results of the ERP systems by the P2TLWA (P2TLWG) operators.

	P2TLWA	P2TLWG
A1	<(s3,-0.50),(0.47,0.46)>	<(s2,0.19), (0.44,0.68)>
A2	<(s3,-0.20), (0.61,0.35)>	<(s2,0.46), (0.56,0.42)>
A3	<(s3,0.10), (0.56,0.35)>	<(s3,-0.24), (0.56,0.39)>
A4	<(s4,0.10), (0.57,0.35)>	<(s3,-0.04), (0.48,0.46)>
A5	<(s2,0.00), (0.59,0.64)>	<(s2,-0.27), (0.56,0.70)>

Source: Author calculation.

Table 6. The score functions of the ERP systems.

	P2TLWA	P2TLWG
A1	(s2,-0.48)	(s1,0.31)
A2	(s2,-0.07)	(s2,-0.38)
A3	(s2,0.04)	(s2,-0.19)
A4	(s3,-0.28)	(s2,-0.18)
A5	(s1,0.35)	(s1,0.14)

Source: Author calculation.

Table 7. Ordering of the ERP systems.

	Ordering
P2TLWA	A4﹥A3﹥A2﹥A1﹥A5
P2TLWG	A4﹥A3﹥A2﹥A1﹥A5

Source: Author calculation.