摘要
针对已有的灰色关联度模型仅适用于实数序列而不能应用于区间灰数序列的情况,通过引入决策者心态指标,将区间灰数序列转化为决策者心态指标序列,并且当决策者的心态指标确定时,心态指标序列就转化为实数序列,于是通过对体现决策者心态的实数序列建立灰色关联度模型,得到了反映出决策者心态的灰色关联度,从而构建了基于心态指标的区间灰数关联度模型。决策者处于不同心态时,可以通过调整其心态计算灰关联度,从而使建立的关联度模型更加符合实际。最后,通过计算实例说明了模型的可行性。
According to the fact that the existing model of grey incidence is only appropriate for real number sequence but not for interval grey number sequence,the interval grey number sequence is transformed into sequence with attitude index by introducing the attitude index of decision maker.When the attitude index of decision maker is known,the sequence with attitude index is transformed into real number sequence.And grey incidence degree embodying the attitude of decision maker is obtained by building incidence degree model of real number sequence with the attitude index of decision maker.The incidence degree model of interval grey number with attitude index of decision maker is proposed.As the decision maker can build incidence degree model through adjusting the attitude index,incidence degree model is more practical than traditional incidence degree model.Finally,a practical example is given to illustrate the proposed model.
出处
《西华大学学报（自然科学版）》
CAS
2012年第3期57-60,共4页
Journal of Xihua University:Natural Science Edition
基金
河南省自然科学基金(102102310159)
河南省哲学社会科学规划项目(2011BJJ021)
郑州航空工业管理学院青年科研基金(2011113001
2011113003)
关键词
灰色关联度
灰色系统理论
区间灰数
心态指标
degree of grey incidence
grey system theorem
interval grey number
attitude index
