摘要
灰靶决策模型是处理"小样本、贫信息"不确定性决策问题的常用方法,然而目前该领域的已有研究成果尚无法对信息分布非对称条件下的区间灰数建立决策模型,同时基于"指标距离平方和"的靶心距计算结果容易受到极端指标值的干扰,从而影响了决策结果的科学性与合理性。首先,推导了信息分布已知条件下区间灰数核的计算公式,研究了区间灰数之间距离的计算方法与性质;然后,在此基础上通过比较指标集中各指标值与靶心连线所围成图形(蛛网)的面积大小来对决策方案之优劣进行评价,从而在一定程度上弱化了建模对象中极端指标值对靶心距计算结果的影响;最后,建立了供应商选择的蛛网灰靶决策模型。研究成果对优化灰靶决策模型建模方法具有积极意义。
Grey target decision-making model is a usual method used to solve an uncertain making-deci- sion problem about “small sample size, poor information”. However, the existing research results of grey target decision-making model cannot establish a decision-making model for interval grey number which infor- mation distribution is asymmetrical, and the calculated results based on indicators of the square of the dis- tance and the off-target distance indicators are susceptible to the effects of extreme value in the index set. This paper first deducts a formula of the kernel of the interval grey number when information distribution is already known, and studies the calculation method and the nature of the distance between the interval grey numbers. Then, on this basis, the paper evaluates the pros and cons of the decision-making program by com- paring the areas （cobweb） which are surrounded by the connections between each index value of the index set and the bull＇s-eye. On some extent, the impact of extreme index value in the modeling objects on the cal- culation results of the off-target distance is weakened. Finally, the paper establishes a cobweb grey target de- cision model for interval grey number of suppliers’ selection. The research results are significant for optimizing grey target decision modeling method.
出处
《系统工程与电子技术》
EI
CSCD
北大核心
2013年第11期2329-2334,共6页
Systems Engineering and Electronics
基金
国家自然科学基金(71271226,71301060)
教育部人文社会科学青年基金(11YJC630273)
重庆高校创新团队计划(KJTD201313)
重庆市高等学校教学改革研究项目(1202010)
重庆市教委科学技术研究项目(KJ120706)资助课题
关键词
决策模型
灰靶
区间灰数
白化权函数
蛛网面积
decision-making model
grey target
interval grey number
whitenization weight function
cob-web area
