Multi-attribute decision-making method of normal distribution interval number based on cross-entropy
Sun Li · Computer Engineering and Applications Journal · 2012
A multi-attribute decision-making method based on cross-entropy and score function is presented for information environment is normal distribution interval number.The transformation approach between classical interval number and normal distribution interval number is introduced by 3σ criterion,and concepts are proposed such as cross-entropy and entropy and relevant propositions.Based on the principle of minimizing the total discrimination information between every object and the positive ideal object,the formula of attribute weights is proposed by constructing non-linear programming model.This paper also studies the aggregating method and comparison method of normal distribution interval number,and proposes a new multi-attribute decision-making approach.The method is applied in multi-attribute decision-making and pattern recognition respectively,and the feasibility and facility of the proposed method are verified.