关键词: 属性权重, 区间二型模糊熵, 公理化准则, 得分函数, 多属性决策

Abstract: For the multiple attribute decision-making problem that the attribute weights are all completely unknown, a decision-making method based on interval type-2 fuzzy entropy has been proposed. In order to quantify the uncertain information of IT2FSs, the axiomatic principles of interval type-2 fuzzy entropy is constructed by introducing fuzzy factor and hesitancy factor and interval factor, and three entropy formulas are proposed by using Euclidean distance, Hamming distance and general distance, respectively. Meanwhile, a mathematical programming model by using entropy formulas has been constructed to determine the attribute weights based on the minimizing overall uncertainty principle, the specific decision-making approach has been proposed with a new score function, and the effectiveness and flexibility of the proposed method are verified through an example analysis.

Key words: attribute weights, interval type-2 fuzzy entropy, axiomatic principles, score function, multiple attribute decision-making