解释模型类理论及其极小三I-算法

Theory of class of interpretation models and infinitesimal Triple I arithmetic

首先在多类(many-sorted)一阶形式系统Luk ms、Gd ms,∏ ms和L*ms中通过引入多类一阶模糊语言Lms的解释模型类及基于解释模型类的α-逻辑有效公式的概念,建立了多类一阶模糊语言的解释模型类理论;然后,基于上述理论探讨了模糊推理算法(CRI及三I算法)与其理论Γ-推理的关系,从而进一步奠定了模糊推理的理论基础,同时得到一种新型的模糊推理算法,称为极小三I算法。

In first-order form systems Luk arbitary ms ,Gad arbitary ms, П arbitary ms and L^＊ arbitary ms ,by introducing the concepts of class of interpretation models and a-logical effective formulas under many-sorted first-order fuzzy language, the theory of class of interpretation models is presented;and then,based on above theory this paper discusses the relation between fuzzy reasoning（CRI arithmetic and Triple I arithmetic） and theory F-reasoning,consequently the base of theory for fuzzy reasoning is established,and a new fuzzy reason ing arithmetic are given.