格蕴涵代数中多重模糊正关联滤子的研究  

Multi-fold Fuzzy Positive Implicative Filter of Residuated Lattice Implication Algebras

作　　者：朱华[1] 陈树伟[1] 赵建彬[1] 徐扬[2] 

机构地区：[1]郑州大学数学系,郑州450001 [2]西南交通大学智能控制中心,成都610031

出　　处：《郑州大学学报（理学版）》2009年第2期19-23,共5页Journal of Zhengzhou University:Natural Science Edition

基　　金：国家自然科学基金资助项目,编号60875034

摘　　要：在剩余格蕴涵代数中,首先提出了多重模糊正关联滤子的概念,研究了其性质.然后,讨论了多重模糊正关联滤子与模糊滤子、多重模糊正关联滤子与多重正关联滤子、多重模糊正关联滤子与多重模糊关联滤子,及多重模糊正关联滤子与多重模糊正关联滤子的格蕴涵同态像之间的关系.In residuated lattice implication algebras,the concept of multi-fold fuzzy positive implicative filter is introduced and its properties are investigated.Then,the relationships between multi-fold fuzzy positive implicative filter and fuzzy filter,multi-fold fuzzy positive implicative filter and multi-fold positive implicative filter,multi-fold fuzzy positive implicative filter and multi-fold fuzzy implicative filter,the lattice implication homomorphism image of multi-fold fuzzy positive implicative filter an...

关 键 词：滤子 正关联滤子 多重模糊正关联滤子 剩余格蕴涵代数 

分 类 号：O153.1[理学—数学]