Improved TOPSIS method for evaluating groundwater carrying capacity
QU Ji-hong, Chen Nan-xiang
Abstract
QU Ji-hong, Chen Nan-xiang
Abstract
The technique for order preference by similarity to ideal solution(TOPSIS) for multi-objective decision making is applied to establish the method for evaluating groundwater carrying capacity,and the vertical projection approach is introduced to improve the method.For objectively reflect the weightness of evaluation indexes,the weights of the indexes are determined according to the difference degree of index attribute based on the Rough Set theory.These weights are further combined with the subjective weights given by the experts to form the final weights of TOPSIS method.The grade of groundwater resources carrying capacity of specific projects is determined according to the grading standard and the closeness degree apart from the ideal solution.The effectiveness of this method is verified by an example.
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The technique for order preference by similarity to ideal solution(TOPSIS) for multi-objective decision making is applied to establish the method for evaluating groundwater carrying capacity,and the vertical projection approach is introduced to improve the method.For objectively reflect the weightness of evaluation indexes,the weights of the indexes are determined according to the difference degree of index attribute based on the Rough Set theory.These weights are further combined with the subjective weights given by the experts to form the final weights of TOPSIS method.The grade of groundwater resources carrying capacity of specific projects is determined according to the grading standard and the closeness degree apart from the ideal solution.The effectiveness of this method is verified by an example.
Key concepts: TOPSIS, Ideal solution, Closeness, Mathematics, Mathematical optimization, Curvilinear coordinates, Evaluation methods, Similarity (geometry)