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

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 in- formation,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 to the previous works,since it has concise results and is easy operating.It may be an effective tool to analyze and evaluate the inexact basic element.