一般模糊近似算子的公理化刻画  

Axiomatic Characterization of Generalized Fuzzy Approximation Operators

作　　者：李同军[1] 张文修[1] 杨晓平[2] 

机构地区：[1]西安交通大学理学院信息与系统科学研究所,陕西西安710049 [2]浙江海洋学院信息学院,浙江舟山316004

出　　处：《模糊系统与数学》2006年第6期122-128,共7页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(60373078)

摘　　要：给出无限双论域上一般模糊近似算子的构造性定义,叙述一般模糊近似算子的基本性质。引入邻域有限模糊关系的概念,利用上、下模糊粗糙近似的截集性质,给出一个刻画模糊近似算子的新公理,得到不同于以往的刻画模糊近似算子的公理集。In the paper presented, first, by constructive approach we give the definitions of generalized fuzzy approximation operators in double infinite universes of discourse, discribe the properties of the fuzzy approximation operatres. Second, we intruduce the concept of neighborhood-finite fuzzy relation, and discuss properties of the cut of fuzzy rough approximations. Finally, we give a new axiom to characterize generalized fuzzy approximation operators, the given axiomatic models of fuzzy approximation operators are different from the ordinary ones.

关 键 词：粗糙集 模糊集 模糊近似算子 无限论域 公理化 

分 类 号：O519[理学—低温物理]