摘要
研究犹豫模糊环境下属性权重完全未知的多属性决策问题.针对犹豫模糊元中人为添加元素影响方案排序等问题,提出一种基于符号距离的犹豫模糊多属性决策方法.首先,根据犹豫模糊元中元素个数及偏差定义一种新的犹豫度,并基于犹豫度定义犹豫模糊符号距离;其次,基于符号距离提出一种属性权重优化模型以确定属性权重,并对方案进行排序;最后,通过算例表明所提出方法的合理性和有效性.
A multiple attribute decision making problem under hesitant fuzzy environment with unknown weight information is investigated. The ranking results of alternatives are affected when adding elements into a hesitant fuzzy element（HFE）. To overcome this drawback, a signed distance-based approach for the multiple attribute decision making with hesitant fuzzy information is proposed. Firstly, a novel hesitancy index based on the number and deviation of elements in a HFE is presented, and a hesitant fuzzy signed distance measure is proposed. Then, an optimization model on the basis of the signed distance measure is constructed to determine the attribute weights, and the priorities of alternatives can be obtained. Finally, a numerical example is given to illustrate the rationality and effectiveness of the proposed method.
出处
《控制与决策》
EI
CSCD
北大核心
2018年第1期186-192,共7页
Control and Decision
基金
国家自然科学基金项目(71601002
71673001
71171112)
国家社会科学基金重点项目(14AZD049)
教育部人文社科研究青年基金项目(16YJC630077)
安徽省自然科学基金项目(1708085MG168)
安徽省哲学社会科学规划基金项目(AHSKY2015D79)
关键词
犹豫模糊元
符号距离
多属性决策
权重优化
hesitant fuzzy element
signed distance
multiple attribute decision making
weight optimization
