摘要
给出了R-广义模糊子格的理想的定义并对其进行了研究。证明了当R(x,y)对变量y递减时,有限个R-广义模糊子格的理想的交(并)仍是R-广义模糊子格的理想,R-广义模糊子格的理想的同态像(原像)仍是R-广义模糊子格的理想。讨论了具体8种蕴涵算子下R-广义模糊子格的理想的等价形式。
This paper introduced the definition of ideal of R-generalized fuzzy sublattice, and discussed some properties of it. Besides, it was proved that the finite intersection （union） of ideal of R-generalized fuzzy sublattice is still ideal of R-generalized fuzzy sublattice when function R（x, y） is decreased correspond to y, and the homomorphic image （preimage） of ideal of R-generalized fuzzy sublattice is still ideal of R-fuzzy suhlattice. Finally, eight kinds of equivalent form of ideal of R-generalized fuzzy sublattice based on eight kinds of implication operator were discussed.
出处
《计算机科学》
CSCD
北大核心
2014年第1期271-273,296,共4页
Computer Science
基金
国家自然科学基金资助项目(61170121)
江苏省研究生培养创新工程项目(CXLX12_0725)资助
关键词
子格
R-广义模糊子格
蕴涵算子
理想
Sublattice,R-generalized fuzzy sublattice, Implication operator, Ideal
