基于区间Pythagorean-PROMETHEE算法的水资源配置方案多属性群决策  

Multi-attribute Group Decision-making of Water Resources Allocation Scheme Based on Interval Pythagorean-PROMETHEE Algorithm

作　　者：于弘泽 朱钰婷 治瑜 张文宇 YU Hong-ze;ZHU Yu-ting;ZHI Yu;ZHANG Wen-yu(China Aerospace Academy of Systems Science and Engineering,Beijing 100048,China;Xi'an University of Posts and Telecommunications,Shaanxi 710121,China)

机构地区：[1]中国航天系统科学与工程研究院,北京100048 [2]西安邮电大学,西安710121

出　　处：《中国农村水利水电》2022年第8期90-96,共7页China Rural Water and Hydropower

摘　　要：为解决水资源配置方案选取困难、效率低的问题,提出一种基于区间Pythagorean-PROMETHEE算法的水资源配置方案多属性群决策方法。首先,构建各决策专家的区间Pythagorean模糊决策矩阵,利用相对贴近系数法、熵值法以及Pythagorean模糊数的距离确定决策专家与属性的权重;其次,利用综合权重与IVPFWA算子将各决策矩阵聚合为综合决策矩阵,接着通过PROMETHEE方法得到最终水资源配置方案的排序结果;最后将该方法运用于优选S市水资源配置方案的案例中,并通过与TOPSIS、VIKOR方法的计算结果对比,最终验证了区间Pythagorean-PROMETHEE算法能够准确地决策出合理的水资源配置方案,且计算结果具有可靠性与有效性。In order to solve the problems of difficulty and low efficiency in selecting water resources allocation scheme,a multi-attribute deci‐sion-making method of water resources allocation scheme based on Pythagorean fuzzy set with interval value and PROMETHEE algorithm is proposed in this paper.Firstly,the interval fuzzy decision matrix of decision-makers is constructed,and the weights of decision-makers and attributes are determined by the distance of relative proximity coefficient method,entropy method and Pythagorean fuzzy number.Secondly,the comprehensive weight and IVPFWA operator are used to aggregate the decision matrix of each decision-maker into the comprehensive matrix,and then the final ranking results of water resources allocation schemes are obtained by PROMETHEE method.Finally,the algo‐rithm used in this paper to select the optimal water resources allocation plan in City S as a case,and through comparison with the results of other methods,it finally shows that the method in this paper can accurately determine a reasonable water resources allocation plan,and the method is effective and reliable.

关 键 词：区间Pythagorean模糊集 PROMETHEE方法 水资源配置方案 多属性群决策 

分 类 号：TV213.4[水利工程—水文学及水资源]