剩余格蕴涵代数中多重模糊结合滤子的研究  

Multi-fold Fuzzy Associative Filter of Residuated Lattice Implication Algebras

作　　者：朱华[1] 赵建彬[1] 陈树伟[2] 

机构地区：[1]郑州大学数学系,河南郑州450001 [2]郑州大学电气工程学院,河南郑州450001

出　　处：《模糊系统与数学》2013年第2期53-56,共4页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(61175055)

摘　　要：在剩余格蕴涵代数中,首先提出了多重模糊结合滤子的概念,研究了其性质。然后,讨论了多重模糊结合滤子与模糊滤子之间的关系;接着,讨论了多重模糊结合滤子与多重模糊关联滤子之间的关系;最后,得到了在格H蕴涵代数中,不同的多重模糊结合滤子之间等价的结论。In residuated lattice implication algebras, we introduce the concept of multi-fold fuzzy associative filter and investigate the properties of multi-fold fuzzy associative filter. Then, we discuss the relationship between multi-fold fuzzy associative filter and fuzzy filter. Next, the relationship between multi-fold fuzzy associative filter and multi-fold fuzzy implicative filter is discussed. Finally, we obtain that different multi- fold fuzzy associative filters are equivalent in lattice H implication algebras.

关 键 词：模糊滤子 多重模糊结合滤子 剩余格蕴涵代数 

分 类 号：O153[理学—数学]