Study on multiple attribute decision-making problem based on standard interval grey number and entropy weight

Abstract

Multiple attribute decision-making means choosing the optimal alternative decision or arranging the decisions considering multiple attribute. In the solving of the multiple attribute decision-making problems, how to decide the weights of the attribute is very important. Till now, the acknowledging of the weight coefficient has gained a lot, which is given in conference [1] with the details of how to decide the weights of the evaluating index with entropy. However, due to the complexity of the decisions and the ambiguity of the indexes in practice, when evaluating a problem, the indexes are always represented by interval numbers, which mean an index is not a certain number, but in an interval. There is not enough research in the decision of the interval weights. So this article will change interval grey number into grey number in standard interval[2], and decide the indicator weights with entropy, in order to offer information to decision makers.