基于区间数期望和不确定性分析的多属性决策方法与应用

Multiple Attribute Decision Making and Its Applications Based on the Expectation of Interval Numbers and the Uncertain Analysis

针对区间数多属性决策中的不确定性问题,提出基于区间数的不确定性分析方法,用集对分析联系数中的A表示区间数的数学期望,Bi表示区间数的不确定性,借助联系数A+Bi的加、乘运算建立区间数多属性决策模型,再利用i的不同取值进行不确定性分析.实例应用表明,方法算理清晰,算法简明,分析方便,结论可靠.

To help those interval number multiple attribute decision making question when faced with uncertainties. An analytic method that was based on the uncertainties between interval numbers was put forward. Use the A of connection number in set pair analysis to stand for the mathematical expectation of interval numbers. The uncertainty between interval numbers was shown as Ri. Use the plus and multiply arithmetic of connection number AWBi to build the model of multiple attribute decision making questions. Taking various value of i to make an uncertain analysis. Practical examples were used to demonstrate the method is clear. Its algorithm is simple. The analysis is convenient. The conclusion is reliable.