摘要
研究基于多值逻辑MV-代数的度量型模糊粗糙集模型,给出■-半度量和通常的实数值半度量的关系,证明■-半度量和■-相似关系的等价性,研究■-半度量诱导的模糊粗糙近似算子的性质及其可定义集的性质。
MV-algebra valued metric-based fuzzy rough set model is defined. The interrelations between ■-hemimetrics and the standard real valued hemimetrics are investigated. It is shown that ■-hemimetrics and ?-similarities are equivalent to each other. The properties of fuzzy rough approximation operators and the related definable sets are studied.
作者
熊兴国
路玲霞
XIONG Xing-guo;LU Ling-xia(School of Social Science,Hebei GEO University,Shijiazhuang 050018,Hebei,China;School of Mathematics and Statistics,Nanjing University of Information Science and Technology,Nanjing 210044,Jiangsu,China)
出处
《山东大学学报（理学版）》
CAS
CSCD
北大核心
2019年第11期81-89,共9页
Journal of Shandong University(Natural Science)
基金
国家自然科学基金资助项目(11871189)
