字典序多目标多阶段决策问题的嘉量解法

建立了字典序多目标多阶段决策模型，并用嘉量原理解决字典序多目标多阶段决策问题．在字典序多目标多阶段决策的赋嘉量有向图中，从任意出发点到终点的嘉量等于出发点经过中间状态的诸顶点到终点的嘉量摹和,这个摹和与出发点之前、终点之后的状态无关．在计算过程中，将合取作为摹和，常义加法作为摹乘，则字典序多目标多阶段决策问题的递推运算转换为多阶段的摹矩阵运算．

Application of Jar-Metric Principle for Solving Lexicographic Order Multiobject and Multistage Decision Problems

A lexicographic order multiobject and multistage decision model was derived. The principle and algorithm of Jar-metric were applied to solving the problem. In a Jar-metric graph representing a lexicographic order muhiobject and multistage decision problem, a Jar valve from a starting node to a destination node is equal to a monoid sum from the starting node to the destination node, and the monoid sum is independent of the nodes before the starting one and those after the destination one. In the calculation, conjunction is taken as Jar summation, and ordinary summation is regarded as monoid product. In this way, the reeursive calculation for solving lexicographic order muhiobject and multistage decision problem is transformed to a multistage Jar matrix computation.