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《Journal of Glaciolgy and Geocryology》 2002-04
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Mathematical Models for Managing Water Resources in the Inland River Basin of Arid Regions

GONG Zeng\|tai\+\{1, 2\},\ XU Zhong\|min\+2 (1. College of Mathematics and Information, Northwest Normal University, Lanzhou Gansu 730070, China; 2.Cold and Arid Regions Environmental and Engineering Research Institute, Chinese Academy of Sciences, Lanz  
Rational development and utilization of water resources is a problem dealing with many factors and multi\|purposes. Based on the construction of the sustainable development and the hypothesis of that the inland river basin can be divided into a certain number of typical regions, mathematical models for managing the water resources of inland rivers in arid regions are established. In this paper, first, the pursuing objectives are analyzed under the frame of sustainable utilization of water resources, and then the pursuing objectives are quantitatively expressed under the frame and the hypothesis of that the inland river basin can be divided into a certain number of typical regions. Then a multi\|objective model for sustainable utilization of water resources is established based on the analysis of support and restriction conditions. Since the specific distribution of water resources, the approach of three\|phase compromise of decision\|maker fuzzy satisfactory problem is proposed, and a fuzzy satisfactory function is put forward and solved. The solution is as follows: A previous compromise is made among the decision-makers of special areas. Then a final compromise is made among the decision-makers of the special areas (as a unit) and of the whole basin.
【Fund】: 中国科学院知识创新工程项目(KZCX1 0 9 0 4);; 国家自然科学基金重大项目(90 10 2 0 0 3 );; 西北师范大学科技创新工程项目(NWNU KJCXGC 2 12 )资助
【CateGory Index】: TV213.4
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