正域为无限区间的初等关联函数构造

The Method to Construct Elementary Dependent Function Based on Infinite Interval

定义在有限区间上的初等关联函数在可拓论中发挥了重要作用.然而,对于一些量值表现为越大越好或越小越优的特征,如何描述事物的可拓域未有探讨.构造了正域为无限区间的初等关联函数并得到若干性质.模拟案例说明该函数的实用性.该关联函数符合数据处理的无量纲化和一致化要求,能消除数量量级和量纲的影响;使基元特征量值表现的四种类型都可以用初等关联函数表示,拓宽了关联函数描述事物符合要求程度的范围;正域为有限区间且在端点取最大值的初等关联函数是该函数的特例.

The elementary dependent function based on the finite interval plays an important role for the development of extenics. But the extension field of alternatives whose values of attributes is the larger or smaller, the better has not been discussed. We constructed the elementary dependent function which positive field is infinite and got some properties. The simulated case illuminates its positive role. The proposed function satisfies the non dimension and consistency of data processes, avoids their impact ,makes the evaluation be more objective, make the general one, which is based on the finite interval and the optimum value is at the endpoint, be its special one, let the four types of values of basic element＇s attributes be presented by the general elementary dependent function. The proposed functions developed the application fields of extension.