The Axiomatic Approach to Definition of Interval Relations

This article is devoted pressing question of the interval analysis, definition of relations of an order between intervals. Interval relations are widely used at the decision of problems of optimization, decision-making and management in the conditions of interval uncertainty. In article, the concept of function of an estimation of interval relations of an order, and an axiom with which estimation function should satisfy is entered. Based on estimation, function it is entered relations of comparison and its equivalence to the usual relation of an order is proved