区间型一般初等关联函数构造方法

关联函数用来描述可拓集合,是可拓论中重要的研究课题.由于系统复杂性和信息不确定性的影响,基元特征的量值只能用区间数表示.通过应用区间距和区间的模构造一般区间位值公式,提出了较具有普遍意义的在正域中点取得最大值的区间型一般初等关联函数,并得到若干性质.区间型一般位值公式和一般初等关联函数统一了区间套有公共端点和无公共端点的情形,具有更宽的适用范围.

The Method to Construct Interval General Elementary Dependent Function

The dependent function can describe the extension set and is an important research part of the extension theory.Because of the system's complexity and uncertain information,the value of basic element's characters should be denoted by intervals.Using the distance and norm of interval,we construct the general interval location value,so the interval elementary dependent function is proposed,which optimum value is at the midpoint of the positive field,and some properties are obtained.The formulas unify that the intervals have same or different endpoint and may be more universal.