基于区间距和区间侧距的初等关联函数构造

The method to construct interval elementary dependent function based on the interval distance and side-distance

可拓集合是可拓论的三大支柱之一．关联函数是可拓集合的核心,是可拓学的定量化工具．由于系统的复杂性和事物信息的不确定性,使得人们难以获取事物有关特征的精确量值,因而难以建立精确的关联函数．基于此,在提出区间距、区间侧距和区间位值等概念的基础上,探讨了有关性质,并分别构造基于区间距和区间侧距的区间型初等关联函数的计算公式,获得一些性质,较好地解决了非精确基元的定量化问题,是精确初等关联函数的拓展．该方法与前有关工作相比,具有结论简单明确、易于操作等特点．区间型初等关联函数的提出为人们对不精确基元进行可拓分析和评价提供了有效的工具．

The extension set is one of the three mainstays of extension theory. The dependent function is the core of it and makes basic-elements be quantified. Because of the complexity of system and uncertainty of information, it could not be possible to get the exact value for some characters, so it is difficult to build exact dependent functions. The interval distance and side-distance, the interval location value are proposed and their properties are exploited. Based on them, the calculation formulas of interval elementary dependent func- tion based on the interval distance and side-distance are constructed and their properties are discussed. The proposed method preferably solves the quantification problem of inexact basic element, and is the extension of exact elementary dependent fUnction. The method is superior and is easy operating. It may be an effective tool to analyze to the previous works, since it has concise results and evaluate the inexact basic element.