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61.
模糊推理的α-三I算法 总被引:6,自引:2,他引:4
三I算法是针对模糊推理的FMP与FMT模型的一种新的推理方法。本文借助蕴涵算子的性质,针对满足一定条件的较一般蕴涵算子,建立了FMP与FMT模型的α-三I算法,并讨论了算法的还原性。 相似文献
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关于格蕴涵代数的余元及结构 总被引:1,自引:0,他引:1
根据格蕴涵代数的性质,利用蕴涵滤子的概念,给出一种确定任意元素的余元的思路,指出在几种特殊的分配格上不能定义格蕴涵代数,给出几种格蕴涵代数的结构。 相似文献
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模糊推理三I算法的逻辑基础 总被引:14,自引:9,他引:5
在模糊推理理论中,近期问世的三I推理方法以逻辑蕴涵运算取代传统的合成运算,从根本上改进了传统的合成推理规则(即CRI方法)。本文基于模糊命题逻辑的形式演绎系统L^*和模糊谓词逻辑的一阶系统K^*,构建了一个完备的多型变元一阶系统Kms^*,并且将三I算法完全纳入了模糊逻辑的框架之中,从而为模糊推理奠定了严格的逻辑基础。 相似文献
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In this work we provide a new topological representation for implication algebras in such a way that its one‐point compactification is the topological space given in [1]. Some applications are given thereof (© 2010 WILEY‐VCH Verlag GmbH & Co. KGaA, Weinheim) 相似文献
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We prove that an equational class of Hilbert algebras cannot be defined by a single equation. In particular Hilbert algebras
and implication algebras are not one-based. Also, we use a seminal theorem of Alfred Tarski in equational logic to characterize
the set of cardinalities of all finite irredundant bases of the varieties of Hilbert algebras, implication algebras and commutative
BCK algebras: all these varieties can be defined by independent bases of n elements, for each n > 1.
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Arnold Koslow 《Logica Universalis》2007,1(1):167-181
On a structuralist account of logic, the logical operators, as well as modal operators are defined by the specific ways that
they interact with respect to implication. As a consequence, the same logical operator (conjunction, negation etc.) can appear
to be very different with a variation in the implication relation of a structure. We illustrate this idea by showing that
certain operators that are usually regarded as extra-logical concepts (Tarskian algebraic operations on theories, mereological
sum, products and negates of individuals, intuitionistic operations on mathematical problems, epistemic operations on certain
belief states) are simply the logical operators that are deployed in different implication structures. That makes certain
logical notions more omnipresent than one would think.
Mathematics Subject Classification (2000): Primary 03B22; Secondary 03B20, 03B42, 03B60 相似文献
70.
给出了三族模糊蕴涵算子分别称它们为L-λ-0(λ∈[21,1])、L-λ-G(λ∈[0,1])与L-λ-0-λ-G(λ∈[0,1])族模糊蕴涵算子。L-λ-0族算子包括Lukasiewicz(简称RLu)算子与R0算子,L-λ-G族算子包括RLu算子与Go。del(简称RG)算子,L-λ-0-λ-G族算子包括RLu算子、R0算子与RG算子。本文主要讨论L-λ-G(λ∈[0,1])族模糊蕴涵算子的伴随算子及其正则性。 相似文献