摘要
运用模糊集及分析学的方法和技巧对否定非对合剩余格的模糊LI-理想问题作深入研究。证明了一个给定的否定非对合剩余格L的全体模糊LI-理想之集FLI(L)关于模糊集合包含序?构成完备Heyting代数。并给出了完备Heyting代数(FLI(L),?)中蕴涵算子的表示定理。
In this paper, we further study the problem of fuzzy LI-ideals in negative non-involutive residuated lattices by using the principle and method of fuzzy sets and analysis. It is proved that the set of all fuzzy LI-ideals FLI（L） in a given negative non-involutive residuated lattice L, under fuzzy set-inclusion order , forms a complete Heyting algebra. Finally, a representation theorem of impli- cation in the complete Heyting algebra （FLI（L）,） is given.
出处
《模糊系统与数学》
北大核心
2018年第1期66-76,共11页
Fuzzy Systems and Mathematics
基金
内蒙古自治区高等学校科学研究项目(NJSY14283)
