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基于左连续伪T-模的非可换模糊逻辑系统PUL* 被引量:7

Non-commutative Fuzzy Logic System PUL* Based on Left Continuous Pseudo T-norms
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摘要 对P.Hájek建立的模糊逻辑系统psMTL进行了扩充,基于一般左连续伪T-模提出了非可换模糊逻辑系统PUL*,证明了它的可靠性定理.同时,以PUL*系统的Lindenbaum代数结构为背景引入PUL*.代数概念,建立了相应的滤子理论,得到PUL*-代数的正规素滤子定理,借此证明了PUL*系统的完备性. Based on left continuous pseudo t-norms,a new non-commutative fuzzy logic system PUL* is constructed as an extension of the fuzzy logic system psMTL which is proposed by P.Hájek.The soundness theorem of system PUL* is proved.Moreover,by the introducing the notion of PUL*-algebras and constructing the normal prime filter theorem of PUL*- algebras, the completeness of system PUL* is proved.
作者 张小红
机构地区 宁波大学数学系
出处 《数学进展》 CSCD 北大核心 2007年第3期295-308,共14页 Advances in Mathematics(China)
基金 国家自然科学基金(No.60474022) 浙江省自然科学基金(No.Y605389) 宁波市青年基金(No.2005A620032)
关键词 伪T-模 非可换模糊逻辑系统PUL* 正规素滤子定理 完备性 pseudo t-norm non-commutative fuzzy logic system PUL* normal prime filter theorem completeness
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