熵权系数与TOPSIS集成评价区间数决策

Entropy Coefficient and TOPSIS Integrated Evaluation on Interval Numbers Decision Matrix

针对多指标区间数决策问题,提出了一种基于熵权系数与TOPSIS综合评价的算法。对于区间数多指标决策问题,当权重信息完全未知时,依据区间数的中点和宽度等信息客观求解权重系数,从而避免了因主观赋权不当带来的决策失误;然后运用熵权系数与TOPSIS综合进行区间数决策,减小了决策误差;最后通过案例验证了算法的实用性和有效性。

Aiming at the decision problem of multi-index interval numbers,a new approach based on entropy coefficient and TOPSIS integrated evaluation was proposed.For the problem of interval numbers multiple index decision problem,when the weight information is completely unknown,the information of midpoint and width of interval numbers was used to solve the weight coefficient objectively,and so as to avoid decision-making mistakes which are caused by subjective weight coefficient.And then the entropy coefficient and TOPSIS integrated evaluation was used to solve the problem of Interval numbers decision matrix,and the decision-making errors were reduced.Finally,the practicability and effectiveness of this new method were verified by an example.