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Table 13

Sensitivity of prioritization of alternatives to change in membership functions overlap area

Case 1
With 10% reduction in overlap area
With 15% reduction in overlap area
AlternativesInitial prioritizationjnewNew prioritizationjnewNew prioritization
G1 (0,0,0,0) (0,0,0,0) 
G2 (0.0368,0.0459,0.0708,0.0916) (0.0353,0.0440,0.0679,0.0878) 
G3 (0.4112,0.5230,0.8000,1) (0.2641,0.3352,0.5132,0.6433) 
G4 (0.1286,0.1598,0.2468,0.3197) (0.1222,0.1519,0.2345,0.3038) 
G5 (0.1523,0.1886,0.2911,0.3786) (0.4109,0.5219,0.7987) 
Case 2
Small base of trapezoidal function increases by 10%
Small base of trapezoidal function increases by 15%
AlternativesInitial prioritizationjnewNew prioritizationjnewNew prioritization
G1 (0,0,0,0) (0,0,0,0) 
G2 (0.1098,0.1394,0.2135,0.2678) (0.0959,0.1215,0.1862,0.2357) 
G3 (0.4112,0.5230,0.8000,1) 0.2432,0.3086,0.4756,0.5928) 
G4 (0.1617,0.2022,0.3115,0.4000) (0.1471,0.1837,0.2832,0.3642) 
G5 (0.1856,0.2311,0.3559,0.4592) (0.4109,0.5219,0.7987,1) 
Case 1
With 10% reduction in overlap area
With 15% reduction in overlap area
AlternativesInitial prioritizationjnewNew prioritizationjnewNew prioritization
G1 (0,0,0,0) (0,0,0,0) 
G2 (0.0368,0.0459,0.0708,0.0916) (0.0353,0.0440,0.0679,0.0878) 
G3 (0.4112,0.5230,0.8000,1) (0.2641,0.3352,0.5132,0.6433) 
G4 (0.1286,0.1598,0.2468,0.3197) (0.1222,0.1519,0.2345,0.3038) 
G5 (0.1523,0.1886,0.2911,0.3786) (0.4109,0.5219,0.7987) 
Case 2
Small base of trapezoidal function increases by 10%
Small base of trapezoidal function increases by 15%
AlternativesInitial prioritizationjnewNew prioritizationjnewNew prioritization
G1 (0,0,0,0) (0,0,0,0) 
G2 (0.1098,0.1394,0.2135,0.2678) (0.0959,0.1215,0.1862,0.2357) 
G3 (0.4112,0.5230,0.8000,1) 0.2432,0.3086,0.4756,0.5928) 
G4 (0.1617,0.2022,0.3115,0.4000) (0.1471,0.1837,0.2832,0.3642) 
G5 (0.1856,0.2311,0.3559,0.4592) (0.4109,0.5219,0.7987,1) 
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