计算机应用研究2017,Vol.34Issue(3):714-717,4.DOI:10.3969/j.issn.1001-3695.2017.03.017
基于近似随进占优的概率区间数信息多属性决策方法
Multi-attributes decision making method for interval number with probability distribution based on almost stochastic dominance
摘要
Abstract
The scarce information contained in interval number made decision making results uncertain.To solve this problem,this paper presented a VIKOR based multi-attributes decision making method.It introduced probabilistic information to traditional interval number,and proposed the definition,basic operations and aggregation operators of interval number with probability distribution.Based on the concept of almost stochastic dominance,it developed a new stochastic dominance degree definition to compare any two interval numbers with pro-bability distribution.Finally,it transformed the interval number with probability distribution decision matrix into stochastic dominance degree matrix,and employed VIKOR method to rank the alternatives.The numerical examples show that the new method has stability with the variation of Y-axis,but has sensitivity with the variation of X-axis.Moreover,the result derived by the method are consist with traditional method but more accurate.关键词
概率区间数/近似随机占优/占优度/VIKOR/多属性决策Key words
interval numbers with probability distribution/almost stochastic dominance/stochastic dominance degree/VIKOR/multi-attributes decision making分类
信息技术与安全科学引用本文复制引用
乌云娜,许浒,张昊渤..基于近似随进占优的概率区间数信息多属性决策方法[J].计算机应用研究,2017,34(3):714-717,4.基金项目
国家自然科学基金面上项目(71271085) (71271085)
中央高校基本科研业务费专项资金资助项目(2015XS40) (2015XS40)