Computer Engineering and Applications ›› 2011, Vol. 47 ›› Issue (33): 149-152.
• 数据库、信号与信息处理 • Previous Articles Next Articles
DU Haocui,XUE Zhan’ao,XIAO Yunhua
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杜浩翠,薛占熬,肖运花
Abstract: The Lukasiewicz implication is a common and significant implication.Some operations are defined in the interval-valued fuzzy sets.<I[0,1],≤> is proved bounded,distributive,completed and complemented lattice,and <I[0,1],U,U,c> is derivational algebras system by complemented lattice <I[0,1],≤>.A new Lukasiewicz implication is reconstructed in the interval-valued fuzzy sets,and its regularities,monotonicities and algebraic properties are discussed.
Key words: interval-valued fuzzy sets, Lukasiewicz implication, fuzzy sets, complemented lattice
摘要: Lukasiewicz蕴涵是一个常用的重要蕴涵。在区间值模糊集合上给出了交并等几个运算的概念,证明了<I[0,1],≤>是有界格、分配格、完备格和有余格,其中,<I[0,1],U,U,c>是有余格<I[0,1],≤>诱导的代数系统。重新构造了一种区间值模糊Lukasiewicz蕴涵,讨论了该蕴涵的正则、单调和代数等重要性质。
关键词: 区间值模糊集, Lukasiewicz蕴涵, 模糊集, 有余格
DU Haocui,XUE Zhan’ao,XIAO Yunhua. Lukasiewicz implication based on interval-valued fuzzy sets[J]. Computer Engineering and Applications, 2011, 47(33): 149-152.
杜浩翠,薛占熬,肖运花. 区间值模糊Lukasiewicz蕴涵的研究[J]. 计算机工程与应用, 2011, 47(33): 149-152.
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