摘要
在good剩余格上研究Riean态的存在性。证明了good剩余格上Riean态的核是一个真弱正规滤子,但不是正规滤子。进一步,给出了good剩余格上Riean态存在的充分必要条件。此外,证明了可表示剩余格至多只有一个固定点。
The aim of this paper is to study the existence of Riecan states on good residuated lattices.We prove that the kernel of Riecan states on good residuated lattices is a proper weak normal filter,and is not a normal filter.Furthmore,the necessary and sufficient conditions for good residuated lattices having Riecan states are obtained.In addition,the fixpoint of residuated lattices is investigated and it is proved that each representable residuated lattice has at most one fixpoint.
出处
《模糊系统与数学》
CSCD
北大核心
2014年第5期33-40,共8页
Fuzzy Systems and Mathematics
基金
国家自然科学基金资助项目(60605017
60875084
61273017)
中央高校基本科研业务费专项资金项目(JUSRP21118
JUSRP211A24)
江苏省高校优秀中青年教师和校长境外研修计划项目
