摘要
通过完备剩余格值逻辑中一元模糊谓词,将经典BCI-代数中的p-理想、q-理想和a-理想进行重新刻画,引入了BCI-代数的l-值模糊p-理想、l-值模糊q-理想和l-值模糊a-理想的概念。利用完备剩余格值逻辑的语义方法,研究这三种l-值模糊理想的性质及关系,推广了经典模糊情形下相应的现有结论。
By a unary fuzzy predicate on complete residuated lattice-valued logic,the p-ideal,q-ideal and a-ideal in BCI-algebra are reportrayed,and the concepts of l-valued fuzzy p-ideals,l-valued fuzzy q-ideals and l-valued fuzzy a-ideals in BCI-algebra are introduced.Using the semantic method of complete residuated lattice-valued logic,the properties and relations of these three kinds of l-valued fuzzy ideals are studied,and the corresponding and existing conclusions in classical fuzzy cases are generalized.
作者
彭家寅
刘淼
汤建钢
PENG Jia-yin;LIU Miao;TANG Jian-gang(College of Mathematics and Statistics,Yili Normal University,Yili 835000,China)
出处
《模糊系统与数学》
北大核心
2023年第4期1-16,共16页
Fuzzy Systems and Mathematics
基金
国家自然科学基金资助项目(11071178)
教育部数学与应用数学专业综合改革试点项目(01249)
作者简介
彭家寅(1962-),男,教授,研究方向:模糊数学;通讯作者:刘淼(1976-),教授,研究方向:统计与随机理论;汤建钢(1958-),男,教授,研究方向:计算理论。
