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针对区间灰数加减逆运算结果存在偏差这一问题,通过对加减逆运算等式两边区间灰数模之间关系的分析,设计了区间灰数加减逆运算的信息还原算子,并证明了该算子的正确性;在此基础上,根据灰色关联度的理论,提出了基于信息还原算子的区间灰数序列关联度的计算方法,研究了具有区间灰数的多指标决策问题,建立了多指标区间灰数关联决策模型;最后,通过实例验证了该模型的有效性与实用性.
Aiming at the problem of the interval gray number addition and subtraction inverse calculation, the information reduction operator for the interval gray number addition and subtraction inverse operation is designed by analyzing the relationship between the interval gray numbers and modules in the two sides of the addition and subtraction inverse equation Based on the theory of gray relational degree, a method to calculate the degree of association of interval gray number series based on information reduction operator is proposed. The multi-index decision making problem with interval gray numbers , A multi-index interval gray relational decision-making model is established. Finally, the validity and practicability of the model are verified by an example.