A Method for Constructing Lattice Implication Algebras on the Interval 0,1

机译：区间0,1上的格蕴涵代数的构造方法

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The uniqueness of LIA-implication on some Kleene algebra is investigated and a method for constructing new lattice implication algebra on Kleene algebra is given. By this method we construct at least countable many lattice implication algebras on the real unit interval [0,1] which are different from ??ukasiewicz implication algebra. This shows that ??ukasiewicz implication algebra is not the unique lattice implication algebra on [0,1].

机译：研究了LIA蕴涵在某些Kleene代数上的唯一性，并给出了在Kleene代数上构造新的格蕴涵代数的方法。通过这种方法，我们在真实单位区间[0,1]上构造了至少可数的许多格子蕴涵代数，它们与ukasiewicz蕴涵代数不同。这表明ukasiewicz蕴涵代数不是[0,1]上唯一的格蕴涵代数。

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《Fuzzy Systems and Knowledge Discovery,(FSKD), 2008 Fifth International Conference on》||P.116-121|共6页
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Wang Xue-fang; Liu Pei-shun;
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中图分类工业技术;
关键词
Lattice implication algebra; Lukasiewicz implication algebra; MV-algebra; prime dual ideal;

机译：格蕴涵代数; Lukasiewicz蕴涵代数; MV代数;素对偶理想;
入库时间 2022-08-26 15:21:09

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1. Lattice of Interval-Valued （ε, εV q）-Fuzzy LI-Ideals in Lattice Implication Algebras [J] . Chunhui, LIU 数学研究及应用：英文版 . 2016,第004期

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2. The classification of separable simple C*-algebras which are inductive limits of continuous-trace C*-algebras with spectrum homeomorphic to the closed interval [0,1] [J] . Elliott GA, Ivanescu C Journal of Functional Analysis . 2008,第4期

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3. Algebraic Method for Constructing Exact Discrete Soliton Solutions of Toda and mKdV Lattices [J] . WANG Jun-Min, JI Jie 理论物理通讯：英文版 . 2008,第006期

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4. A Method for Constructing Lattice Implication Algebras on the Interval 0,1 [C] . International Conference on Fuzzy Systems and Knowledge Discovery . 2008

机译：一种在间隔内构造晶格暗示代数的方法0,1
5. On the classification of simple C*-algebras which are inductive limits of continuous-trace C*-algebras whose spectrum is the closed interval [0,1]. [D] . Ivanescu, Cristian. 2004

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7. The classification of separable simple C∗-algebras which are inductive limits of continuous-trace C∗-algebras with spectrum homeomorphic to the closed interval 0,1 [O] . Elliott George A., Ivanescu Cristian 2008

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A Method for Constructing Lattice Implication Algebras on the Interval 0,1

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