Research Article

Grey Relational Entropy Calculation and Fractional Prediction of Water and Economy in the Beijing-Tianjin-Hebei Region

Table 13

Results of particle swarm optimization in the Beijing-Tianjin-Hebei region.

RegionEvaluation indexOptimal orderMAPE (%)

BeijingAdded value of primary industry0.5336322.539866
Industrial added value0.211274.695975
Added value of construction industry0.0213583.142181
Added value of tertiary industry0.548172.288903
Permanent residents10.895587

TianjinAdded value of primary industry0.0651772.975361
Industrial added value0.77792.963154
Added value of construction industry0.1800584.997532
Added value of tertiary industry0.4479713.738722
Permanent residents0.624912.018795

HebeiAdded value of primary industry0.5662444.127879
Industrial added value0.1168514.524057
Added value of construction industry0.8861162.578524
Added value of tertiary industry0.5510371.230012
Permanent residents0.5529770.786934