The Axiomatic Approach to Definition of Interval Relations

O. Ruzibaev, R. Kabulov, Sherzod Sayfullaev
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Abstract

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
区间关系定义的公理化方法
本文讨论了区间分析的紧迫问题,区间间的一阶关系的定义。区间关系广泛应用于区间不确定条件下的优化、决策和管理问题的决策。本文引入了一阶区间关系估计函数的概念,并给出了估计函数应满足的公理。在估计的基础上,引入了函数的比较关系,并证明了它与通常的一阶关系的等价性
本文章由计算机程序翻译,如有差异,请以英文原文为准。
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