A Mathematical Programming Model to Determine Objective Weights for the Interval Extension of TOPSIS

Table 1

Normalized interval decision matrix.

	[0.0856,0.1645]	[0.5176,0.6001]	[0.1974,0.2865]	[0.0706,0.5086]
	[0.1495,0.3038]	[0.1972,0.2037]	[0.0283,0.3768]	[0.1760,0.2320]
	[0.0164,0.0336]	[0.2198,0.2329]	[0.1720,0.2010]	[0.0152,0.0373]
	[0.1451,0.2999]	[0.0750,0.0758]	[0.0036,0.0090]	[0.0046,0.0067]
	[0.0100,0.0206]	[0.0278,0.0318]	[0.1352,0.1353]	[0.0129,0.0271]
	[0.0794,0.1635]	[0.0783,0.0799]	[0.3036,0.3643]	[0.3403,0.4300]
	[0.0265,0.0586]	[0.0643,0.0787]	[0.2531,0.3365]	[0.0409,0.1832]
	[0.2999,0.6211]	[0.1345,0.1475]	[0.0107,0.0113]	[0.0043,0.0063]
	[0.0418,0.0848]	[0.1231,0.1336]	[0.0855,0.1805]	[0.0782,0.1669]
	[0.1249,0.2425]	[0.0869,0.0925]	[0.0203,0.0221]	[0.0274,0.0409]
	[0.0778,0.1593]	[0.0594,0.0657]	[0.0151,0.0196]	[0.0684,0.1073]
	[0.0519,0.1078]	[0.0549,0.0608]	[0.1117,0.2027]	[0.0880,0.3169]
	[0.1127,0.2302]	[0.0616,0.0667]	[0.0495,0.0602]	[0.0146,0.0292]
	[0.0719,0.1473]	[0.1186,0.1604]	[0.1829,0.3030]	[0.2033,0.3330]
	[0.0247,0.0500]	[0.0230,0.0231]	[0.0112,0.0134]	[0.0207,0.0345]