有限链上的格蕴涵代数在不确定性库存模型中的应用

Application of Lattice Implication Algebra on Finite Chain in Inventory Model Uncertainty

格蕴涵代数是一种处理不确定性信息的应用较为广泛的逻辑代数。本文从实际问题出发,选取常用的语言值,建立了有限链上具体的格蕴涵代数,通过格蕴涵代数上二元运算的定义,给出了语言值间的一些常用运算及相应的运算规则,使得不确定性信息可以直接进行运算;进一步将所构建的格蕴涵代数应用于带有不确定性信息的库存管理问题中,建立了相应的库存控制模型,并通过上述语言值间运算规则和数值计算方法求出了使总库存成本最小的经济订货批量。

Lattice implication algebra is a logic algebra that has been widely used for dealing with uncertainty information. This paper, starting from the practical problems, selects the common linguistic values and establishes a concrete lattice implication algebra on the finite chain, then, gives some arithmetic operations and the corresponding rules through the definitions of binary operations on the lattice implication algebra, so that, uncertainty information can be made directly computing. Further, the established lattice implication algebra can be applied in inventory management with uncertainty information and the corresponding inventory model can be also established. In order to solve the optimal problem, the economic order quantities were obtained by using the operation rules above.