The general elementary dependent function based on the side distance

The extenics is one of the theoretic foundation for the artificial intelligence and the dependent function is one of the most important works. It describes the degree of the objectpsilas qualitative and quantitative changes, so its value should be satisfied with the general regularity. On the other hand, because the extension excellent analysis is very fit for the social and economic systems, it makes the dependent function satisfy the disposal request of datum. Using the side distance, we construct the general elementary dependent function, which optimum value is not at the midpoint of the positive field, and get some properties. The proposed function pretreats the datum, and preferably describe the natural objects, and unifies the forms whether the intervals have common endpoint or not, and is continuous for all real number field but the common one. The general elementary dependent function which optimum value is at the midpoint of the positive field is the special one.