CAJ | 학술논문

针对属性权重与时间权重未知且属性值为区间数的一类决策问题,提出一种新的多属性多阶段决策方法.该方法首先无量纲化处理属性值,并运用灰色关联方法确定各阶段属性值的权重;然后综合考虑属性测度值与正、负理想效果值的接近性和时间权重本身的不确定性,运用极大熵原理建立多目标优化模型,并利用拉格朗日乘子法求解获得时间权重表达式,从而确定对象的综合评价值;最后通过实例验证了该方法的合理性与有效性.
침대속성권중여시간권중미지차속성치위구간수적일류결책문제,제출일충신적다속성다계단결책방법.해방법수선무량강화처리속성치,병운용회색관련방법학정각계단속성치적권중;연후종합고필속성측도치여정、부이상효과치적접근성화시간권중본신적불학정성,운용겁대적원리건립다목표우화모형,병이용랍격랑일승자법구해획득시간권중표체식,종이학정대상적종합평개치;최후통과실례험증료해방법적합이성여유효성.
@@@@For the multi-attribute and multistage decision-making problem that the attribute weights and time weights in each decision stage are unknown and the attribute value is interval numbers, a new decision-making method is proposed. Firstly, the original decision making information for each stage is standardized, and then grey relational analysis method is used to determine the weight of attribute values of each stage. Taking the proximity of the attribute measurement value and positive negative desired effect value and the uncertainty of time weight into account, a multi-objective optimization model based on the maximum entropy principle is established, and time weights expression is obtained by using Lagrange multiplier method, so that the comprehensive value and sort for each object can be determined. Finally, an example is given to verify the effectiveness and feasibility of the model.