摘要
针对方案的指标值为直觉模糊数的决策问题,提出一种基于灰色关联分析和MYCIN不确定因子的决策方法.根据直觉模糊数的记分函数得到各指标下不同方案的MYCIN不确定因子,运用灰色关联方法确定各指标的信任度;推导出多证据下不确定因子的融合方法,证明其满足交换律和结合律,并通过该融合方法确定最优方案.数值算例表明,所提出的方法能有效解决D-S证据推理与决策问题相结合中存在的计算复杂、合成不稳定等问题.
A method based on grey incidence analysis and MYCIN uncertainty factor is proposed for decision-making problems with the attribute values of corresponding alternatives in the form of intuitionistic fuzzy numbers.According to the score function of intuitionistic fuzzy numbers,the MYCIN certainty factors of different alternatives in different indices are obtained.And the trust degrees of different indices are determined by using the grey incidence analysis.Then,the certainty factor fusion method in different indices is deduced to get the optimal alternative.It is proved that the fusion method satisfies the commutative law and the associative law.And the best alternative is obtained by using the proposed method.The problem of computational complexity and synthetic instability is solved while combining D-S theory and decision-making.
出处
《控制与决策》
EI
CSCD
北大核心
2011年第11期1680-1684,共5页
Control and Decision
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)
国家社科重点项目(08AJY024)
关键词
直觉模糊数
MYCIN不确定因子
数据融合
决策
灰色关联分析
intuitionistic fuzzy numbers
MYCIN certainty factor
data fusion
decision-making
grey incidence analysis
