【摘要】 五元联系数μ=a+bi+cj+dk+el是集对分析理论中同异反联系数μ=a+bi+cj的一种拓广。在前人工作基础上,进一步研究了五元联系数中a、b、c、d、e的大小关系,总结提出了五元联系数同异反态势新表,并将其应用于地表水环境质量评价。其中的a、b、c、d、e分别对应于Ⅰ、Ⅱ、Ⅲ、Ⅳ、Ⅴ类地表水环境质量状况。实例研究表明,集对分析中的五元联系数用于地表水环境质量评价是可行的。在给出优劣排序的同时,还给出优劣的水平。更多还原

【Abstract】 The present paper is aimed to introduce the authors’ idea for the application of the five-element connection number to the quality assessment of the surface water environment.The so-called five-element connection number is referred to as μ=a+bi+cj+dk+el,which is by nature the extended use of the element connection number,such as similarity,difference and counter μ=a+bi+cj of the theory of set pair analysis.On the basis of the four-element connection number,according to the quantitative relation of a,b,c,d,e,a state power table of the similarity and difference and counter for the five-element connection number have been brought forward in this paper.The a,b,c,d,e,is in conformity with the surface water quality complying with classⅠ,Ⅱ,Ⅲ,Ⅳ and Ⅴ surface water environmental quality standards,respectively.The practical sample study shows that it is feasible to be used to assess the surface water environment quality by five-element connection number of set pair analysis method.The theory and model proposed here can be adapted and applied to some other fields.Not only are the surface water qualities ranked from the best to the worst,but also the surface water quality levels are also evaluated.更多还原