Mathematical Problems in Engineering

Research Article

Partner Selection in a Virtual Enterprise: A Group Multiattribute Decision Model with Weighted Possibilistic Mean Values

Table 1

The decision matrix with triangular fuzzy numbers and weights of six attributes for each decision maker.


Decision maker	Candidate and weight	Cost	Past performance	Relationship closeness	Completion probability	Time	Quality

		(9, 11, 12)	(86, 89, 91)	(82, 83, 84)	(0.89, 0.90, 0.92)	(21, 23, 25)	(0.95, 0.96, 0.97)
		(10, 12, 14)	(87, 90, 93)	(84, 85, 86)	(0.88, 0.91, 0.92)	(23, 24, 25)	(0.96, 0.97, 0.98)
		(12, 13, 15)	(90, 93, 94)	(87, 88, 89)	(0.92, 0.93, 0.94)	(22, 23, 24)	(0.96, 0.97, 0.98)
		(14, 15, 16)	(92, 94, 95)	(91, 92, 94)	(0.95, 0.97, 0.98)	(18, 19, 21)	(0.97, 0.98, 0.99)
	Weight	0.10	0.25	0.15	0.20	0.14	0.16

		(9, 11, 13)	(88, 90, 92)	(79, 80, 82)	(0.90, 0.91, 0.92)	(23, 24, 25)	(0.96, 0.97, 0.98)
		(11, 12, 13)	(87, 89, 91)	(83, 84, 85)	(0.89, 0.90, 0.91)	(21, 22, 23)	(0.95, 0.96, 0.97)
		(12, 13, 14)	(90, 91, 92)	(86, 87, 88)	(0.92, 0.93, 0.94)	(22, 23, 24)	(0.96, 0.97, 0.98)
		(13, 14, 15)	(92, 93, 94)	(87, 89, 90)	(0.91, 0.92, 0.93)	(18, 19, 21)	(0.96, 0.97, 0.99)
	Weight	0.11	0.21	0.16	0.21	0.15	0.16

		(11, 12, 13)	(88, 89, 90)	(75, 76, 78)	(0.91, 0.92, 0.94)	(21, 22, 23)	(0.96, 0.97, 0.98)
		(12, 13, 14)	(87, 89, 90)	(76, 78, 80)	(0.90, 0.91, 0.92)	(20, 21, 23)	(0.95, 0.97, 0.98)
		(13, 14, 15)	(89, 90, 91)	(82, 84, 85)	(0.94, 0.95, 0.96)	(20, 21, 22)	(0.96, 0.98, 0.99)
		(14, 15, 17)	(88, 90, 92)	(84, 85, 86)	(0.93, 0.94, 0.95)	(18, 20, 21)	(0.97, 0.98, 0.99)
	Weight	0.09	0.26	0.14	0.19	0.17	0.15

		(12, 13, 14)	(87, 89, 90)	(76, 77, 78)	(0.88, 0.90, 0.91)	(21, 22, 23)	(0.94, 0.95, 0.96)
		(13, 14, 15)	(88, 89, 91)	(81, 82, 83)	(0.89, 0.90, 0.92)	(19, 21, 23)	(0.93, 0.94, 0.95)
		(16, 17, 18)	(87, 88, 89)	(84, 85, 86)	(0.95, 0.96, 0.97)	(20, 21, 22)	(0.94, 0.95, 0.96)
		(15, 16, 18)	(89, 90, 91)	(86, 87, 88)	(0.94, 0.95, 0.96)	(19, 21, 22)	(0.95, 0.96, 0.97)
	Weight	0.12	0.24	0.16	0.17	0.15	0.16