一种新型区间数多属性决策算法研究

随着多属性决策问题的复杂性、不确定性日益增强，基于区间数的多属性决策理论与应用研究越来越广泛。基于算子有序性的构建思想，本文提出并构建了基于有序欧几里德算子的区间数多属性决策算法模型，证明了有序欧几里德算子的单调性、齐次性和幂等性。采用基于有序欧几里德算子的区间数多属性决策方法对某火炮采购问题进行了决策计算，证明了该方法的有效性与可行性。

A New Multiple Attribute Decision Making Approach Based on Interval Numbers

With the complexity and uncertainty buildup in decision making problems, the research on multiple attribute decision making based on interval numbers has become more and more popular. Considering the monotony and regularity of Euclid arithmetic, the paper proposes a new multiple attribute decision making approach based on the ordinal Euclid arithmetic, and the monotony, regularity and metathesis immutability of the ordinal Euclid arithmetic are proved too. In addition, an artillery choice problem is calculated by the approach, and the result proves that the approach is effective and feasible.