管理学报
管理學報
관이학보
Chinese JOurnal of Management
2008年
3期
376~380
,共null页
评价 离差 联合熵 组合权重
評價 離差 聯閤熵 組閤權重
평개 리차 연합적 조합권중
evaluation; deviation; joint-entropy; combined weights
针对多指标评价权重确定问题,提出了基于最小离差和最大广义联合熵的组合赋权方法。该方法一方面综合考虑了各评价方法从不同角度所确定的权向量,使确定的理想组合评价权向量与所有其他方法的评价权向量之间的总体偏差为最小;另一万面尽量消除组合赋权的不稳定性,使各方法各指标权数赋予平衡因子后广义的联合熵最大,使得全局的不确定性最小、最为合理,由此建立了组合权系数优化模型。最后通过实例说明了此方法的合理性。
針對多指標評價權重確定問題,提齣瞭基于最小離差和最大廣義聯閤熵的組閤賦權方法。該方法一方麵綜閤攷慮瞭各評價方法從不同角度所確定的權嚮量,使確定的理想組閤評價權嚮量與所有其他方法的評價權嚮量之間的總體偏差為最小;另一萬麵儘量消除組閤賦權的不穩定性,使各方法各指標權數賦予平衡因子後廣義的聯閤熵最大,使得全跼的不確定性最小、最為閤理,由此建立瞭組閤權繫數優化模型。最後通過實例說明瞭此方法的閤理性。
침대다지표평개권중학정문제,제출료기우최소리차화최대엄의연합적적조합부권방법。해방법일방면종합고필료각평개방법종불동각도소학정적권향량,사학정적이상조합평개권향량여소유기타방법적평개권향량지간적총체편차위최소;령일만면진량소제조합부권적불은정성,사각방법각지표권수부여평형인자후엄의적연합적최대,사득전국적불학정성최소、최위합리,유차건립료조합권계수우화모형。최후통과실례설명료차방법적합이성。
From assigning the weights of multiple-index correctly, a new method based on minimal deviations and maximal joint entropy is proposed, in which the weight vectors at different point of views determined by several evaluation method was considered and the whole-warp between the ideal combination of the estimated weight vectors and the combination determined by other methods became minimal. Other hand, the joint-entropy at the multi-indicator vectors the most by choosing the balancing element and the uncertainty at the overall situation was the least in this method. Thus, the op- timization model about the weight vectors combination was constructed. An example is also given to demonstrate the precision and reliability and validity of the method.