为实现可拓论精典集合中“属于”和“不属于”集合的定性描述扩展到精准定量描述,依据大气质量等级标准和大气质量影响因子构造经典域物元和节域物元;实现关联函数逻辑域由(0,1)到(-∞,+∞)的扩展;并采用层次分析法(AHP)确定特征加权;考虑到大气样本并没有严格的属性,以及它们在形态和类属方面存在着中介性,确定了对人类生理健康影响较大的PM₁₀、SO₂、NO₂、CO和降尘5项评价因子;建立变权可拓论的城市大气质量评价模型;新模型不仅可以体现城市大气质量整体等级水平,而且通过质量与等级的关联度可以辨识影响大气质量的主次要污染因子。以阜新市2010年大气环境质量为应用评价对象,将应用评价结果与上海大气质量指数法、模糊综合评判法的结果比较,给出新模型在大气质量评价应用中的适用性。应用型新模型的建立城市大气环境质量的评价与治理均具有一定的理论价值与现实指导意义。

In order to realize quantitative description of logical domain instead of "belong to" or "not belong to" some set in classical extenics, an extenics engineering method was combined with cluster analysis to construct classical and limited matter elements according to air quality standards and main factors affecting air quality. The logical domain was extended from (0, 1) to (-∞, +∞). Analytic Hierarchy Process (AHP) was used to determine weights of air quality factors and establish improved extenics model with varying weight for assessing air quality. In view of no-strict attributes of city atmosphere sample and betweenness of their form and class attribute, five assessment factors which have great influence on the human health i.e. PM₁₀, SO₂, NO₂, CO, and Fallen Dust are identified. The new model not only could reflect the whole level of air quality, but also identify the main air pollution facts which exert great impact. An improved extenics model is used to assess air quality in Fuxin city in the year of 2010. And then the results are compared with the results based on Shanghai air quality index method and fuzzy comprehensive evaluation method. The serviceability of new model in the applications of air quality assessment is analyzed. To a certain degree, the establishment of application-typed model dedicated to assessment and control of city atmosphere has its theoretical value and realistic guiding significance.