Analysis on Driving Factors of Regional Water Environmental System Vulnerability Based on Set Pair Exponential Potential

Set pair potential, indicates an identical-discrepancy-contrary trend of two sets discussed in the case of specific problems. This trend can show weak tendency of regional water environmental system vulnerability, consequently set pair potential has been used to analyze its driving factors. In traditional set pair, contrary degree is restricted since that contrary degree does not vanish is the necessary condition by definition, as a result that traditional set pair potential does not have general validity. Therefore taking advantage of exponential function to improve the traditional set pair potential, and a new definition of set pair exponential potential was proposed. Then an analysis model of driving factors of regional water environmental system vulnerability was established based on this new potential and the model was used to analyze the factors in Anhui province, China. Some results have been obtained that the driving factors of water environmental system vulnerability in Anhui province mainly include: degree of regional development level, per capita water resources, marsh area ratio, soil erosion area ratio, industrial wastewater standard discharge rate and the ratio of investment in water environmental governance (protection) to GDP.