摘要
应用模糊点和模糊集间的关系,给出BCK-代数(∈,∈)((∈,∈∨q),(∈,∈∨q))-模糊蕴涵理想的定义,描述了BCK-代数的(∈,∈)-模糊蕴涵理想与模糊理想,模糊子代数间的关系,研究了BCK-代数的模糊子集为(∈,∈)((∈,∈∨q),(■,■∨■))-模糊蕴涵理想的充要条件。
In this paper,by the use of the relations between fuzzy points and fuzzy subsets,the notion of（∈,∈）（（∈,∈∨q）,（■,■∨■））-fuzzy implicative ideal of BCK-algebras is given.Then,the relations among（∈,∈）-fuzzy implicative ideals,fuzzy ideals and fuzzy subalgebras of BCK-algebras are discussed.Moreover,some necessary and sufficient conditions that a fuzzy subset is a（∈,∈）（（∈,∈∨q）,（-∈-∈∨-q））-fuzzy implicative ideal of BCK-algebras are investigated.
出处
《模糊系统与数学》
CSCD
北大核心
2010年第6期48-54,共7页
Fuzzy Systems and Mathematics
基金
陕西省自然科学基金资助项目(2007A19)
陕西省教育厅专项科研基金资助项目(08JK472)
