关键词: 多属性决策, 区间数, 规范化, 排序方法, 熵权

Abstract: Multiple attribute decision making problems are studied，in which the information about the attribute weights is unknown completely and attribute values are interval numbers.Firstly，improved ranking method of interval numbers is developed which is different from most of the proposed interval comparison methods totally based on the midpoints of interval numbers.Secondly，improved method for normalizing the decision matrix with interval numbers is presented.Then based on traditional theory of entropy weights and the property of interval numbers decision making matrix，a method is proposed to determine entropy weights.Finally，a numerical example is given to show the feasibility and effectiveness of the method.

Key words: multiple attribute decision making, interval numbers, normalization, ranking methods, entropy weight