CAJ | 학술논문

基于区间数距离和灰熵分析，研究了灰色局势的多属性决策问题．首先给出了一种新的灰熵定义，并通过预处理得到一致效果测度矩阵．然后，提取正负理想值，结合灰熵定义建立多目标规划模型，通过拉格朗日乘数法给出了目标权重的计算公式，将多目标的一致效果测度矩阵集成为综合效果测度矩阵．最后，利用可能度和排序向量法找到各事件下的最优对策和各对策下的最优事件，从而得到最优局势，并通过实例分析验证了所提决策方法的有效性和实用性．
기우구간수거리화회적분석，연구료회색국세적다속성결책문제．수선급출료일충신적회적정의，병통과예처리득도일치효과측도구진．연후，제취정부이상치，결합회적정의건립다목표규화모형，통과랍격랑일승수법급출료목표권중적계산공식，장다목표적일치효과측도구진집성위종합효과측도구진．최후，이용가능도화배서향량법조도각사건하적최우대책화각대책하적최우사건，종이득도최우국세，병통과실례분석험증료소제결책방법적유효성화실용성．
Based on the interval numbers＇ distance and grey making problem of grey situation has been researched in entropy analysis＇, multi-attribute decision- this paper. Firstly, a new grey entropy definition has been proposed and uniform effect measure matrices have been obtained after pretreatment. Secondly, by extracting desired-undesired effect value and grey entropy definition, a multi-objective programming model has been constructed, and objective weights could be obtained by use of Lagrange multiplier method, uniform effect measure matrices of multi-objective have been aggregated into collective effect measure matrix. Finally, by use of possibility degree and ranking vectors method, the optimal decision of every event and the optimal event of every decision could be fund, consequently, the optimal situation could been obtained. And a practical example has been presented to verify the proposed method＇s effectiveness and practicability.