摘要
为了更有效地处理不精确性问题,将模糊变精度粗糙集与多粒度相结合,成为研究的热点.在不可交换的广义剩余格的基础上,定义了基于L-模糊近似空间的广义L-模糊可变精度粗糙集中的左下(右下)和左上(右上)近似算子.然后,结合多粒度,给出了基于不可交换的广义剩余格的多粒度L-模糊可变精度粗糙集及其近似算子,研讨了它们的一些性质.该研究在变精度粗糙集研究中具有一定的理论价值,提供了一种新方法,能更加精确地解决实际中的不精确性问题.
In order to deal with the imprecise problem effectively, the combination of the fuzzy variable precision rough set with multi-granulation has become a research hotspot. Based on the non-commutative generalized residual lattice, the left lower （ right lower） and left upper （ right upper） approximation oper-ators of generalized L-fuzzy variable precision rough set were defined in the L-fuzzy approximation space. Then, combing with multi-granulation, multi-granulation generalized L-fuzzy variable precision rough set and approximation operators were defined, and their properties were explored. The findings of this study explored the research of variable precision rough set, and provided a new method to solve the imprecise problem in practice.
出处
《郑州大学学报（理学版）》
CAS
北大核心
2016年第3期82-89,共8页
Journal of Zhengzhou University:Natural Science Edition
基金
国家自然科学基金资助项目(61273018)
河南省基础与前沿技术研究项目(132300410174)
河南省教育厅项目(14A520082)
新乡市重点科技攻关项目(ZG14020)
关键词
多粒度
广义剩余格
L-模糊集
L-模糊近似空间
广义L-模糊可变精度粗糙集
multi-granulation
generalized residuated lattices
L-fuzzy sets
L-fuzzy approximation space
generalized L-fuzzy variable precision rough set
