基于新型符号距离的犹豫模糊多属性决策方法

Hesitant fuzzy decision making method based on new type signed distance

研究属性权重完全未知的犹豫模糊决策问题.针对犹豫模糊元中人为添加元素导致的主观性过强问题,提出一种基于新型符号距离的犹豫模糊决策方法.首先,根据犹豫模糊集元素之间的方差以及元素个数定义一种含有对数函数的新型犹豫度,并基于新型犹豫度定义新型犹豫模糊符号距离;然后,基于新型符号距离给出一种属性权重完全未知的数学规划模型得出属性权重,并利用加权符号距离对方案进行排序;最后,通过数值案例表明所提出方法区分度明显并且合理、有效.

This paper investigates the hesitant fuzzy decision making problem with unknown weight information. In order to solve the problem of subjectiveity caused by adding elements into a hesitant fuzzy element(HFE), a new type signed distance-based approach for the hesitant fuzzy multiple attribute decision making is proposed. Firstly, a new type hesitancy index with logarithmic function based on the number and variance of elements in a HFE is presented, and a new type hesitant fuzzy signed distance measure based on the new type hesitancy index is proposed. Then, based on the new type signed distance, a mathematical model is given to determine the attribute weights, and the priorities of alternatives can be obtained. Finally, a numerical example is given to illustrate that the discrimination of the proposed method is reasonable and effective.