A Decision-making Method of Interval Numbers' Grey Situation Based on Grey Entropy

Based on the interval numbers' distance and grey entropy analysis,multi-attribute decision-making problem of grey situation has been researched in 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.