摘要
针对方案的指标值为区间直觉模糊数的决策问题,提出了一种基于灰色关联分析和D-S证据理论的决策方法.定义了区间记分函数和区间数点算子,并通过其将区间直觉模糊数转化为记分函数;利用记分函数以及灰色关联方法确定各指标的不确信度,进而构建出不同指标下各方案的Mass函数,通过D-S合成法则进行信息融合,确定最优方案.最后,通过算例表明,本文提出的方法可得到满意结果并显著降低决策的不确定性.
A method based on grey incidence analysis and problems with the attribute values of corresponding alternatives D-S theory of evidence is proposed for decision-making in the form of interval-valued intuitionistic fuzzy numbers. The uncertain degrees of different indices are determined by using the grey incidence analysis. First, the concept of interval-valued score function and interval number point operators are introduced, and the interval-valued intuitionistic fuzzy numbers are transformed into score function by them. The uncertain degrees of different indices are determined by using the grey incidence analysis and score functions, and the mass functions of different alternatives in different indices are obtained by the uncertain degrees and score functions. Information can be fused in accordance with the D-S combination rule and the best alternative is got by using the method. Finally, a numerical example is utilized to illustrate that a satisfying conclusion can be obtained and an obvious decrease can be observed in the uncertainty of decision making.
出处
《自动化学报》
EI
CSCD
北大核心
2011年第8期993-998,共6页
Acta Automatica Sinica
基金
国家自然科学基金重大研究计划培育项目(90924022)
国家自然科学基金面上项目(70971064)
国家自然科学基金(70701017)资助~~
关键词
区间直觉模糊数
D—S证据理论
数据融合
决策
灰色关联分析
Interval-valued intuitionistic fuzzy numbers incidence analysis D-S theory of evidence, data fusion, decision-making, grey
