泛组合运算模型研究

Research of Universal Combination Operation Model

泛逻辑学是在模糊逻辑的基础上,分析命题之间关系的连续可变性。提出了"广义相关性"和"广义自相关性"两个重要的概念,将命题连接词运算模型定义为由相关性所控制的算子簇,实现了命题连接词运算模型的柔性化。其中泛组合运算模型是为了满足连续值逻辑中综合决策的需求而提出的。目前仅有二元模型,在实际应用中迫切需要多元模型。但由于泛组合问题的复杂度随着"元"的个数增加而急剧增大,其设计有一定的难度。提出了多元泛组合运算模型和生成元加权零级泛组合运算模型,从而不仅满足了应用中多元综合决策的要求,还进一步完善了泛逻辑学中的命题连接词理论。

Based on fuzzy logic,universal logics analyses continuous changeability among propositions,and puts forward two important concepts：generalized correlativity and generalized self-correlativity,and realizes flexibility of propositionalconnective operation models which are defined operator clusters controlled by correlativity.Universal combination ope-ration model can satisfy the requirement of integrated decision of continuous valued logic.It is hard to be applied because it only has binary model at present.Therefore the multimember universal combination operation model is an urgent demand.But it is difficult to be constructed because the complexity of universal combination problem increases sharply with increasing the number of member.The multimember universal combination operation model and a generator weighted 0-level universal combination operation model were proposed.It not only satisfies the requirement of multimember integrated decision,but also perfects propositional conjunctions theory of universal logics.