模糊形式背景下的类近似算子  

Similarity Approximation Operators in Fuzzy Formal Context

作　　者：王佳佳[1] 米据生[1] 解滨[1] 

机构地区：[1]河北师范大学数学与信息科学学院,河北石家庄050016

出　　处：《模糊系统与数学》2009年第1期143-149,共7页Fuzzy Systems and Mathematics

基　　金：国家自然科学基金资助项目(60773174);河北省自然科学基金资助项目(A2006000129);河北师范大学重点基金资助项目(L2005Z01)

摘　　要：分别在形式背景和模糊形式背景下定义类下近似算子和类模糊下近似算子,并研究它们的性质。证明这两种算子分别等价于形式背景和模糊形式背景下的*算子和模糊*算子。进一步给出类下近似算子与类模糊下近似算子的公理刻画。最后,对偶地讨论类上近似算子和类模糊上近似算子的定义和性质。This paper studies rough approximations in formal contexts. A novel concept of similarity lower approximation operator is proposed, and the properties of the approximation operators is discussed. It is proved that the similarity lower approximation operator is equivalent to the ＊ operator in a formal context. The aximatic characterization of this operator is then examined. In a fuzzy formal context, by use of the representation theorem, the similarity fuzzy lower approximation operator is also introduced. Finally, we study by duality the similarity upper approximation operator and similarity fuzzy upper approximation operator respectively.

关 键 词：形式背景 模糊形式背景 概念 类近似算子 

分 类 号：TP18[自动化与计算机技术—控制理论与控制工程]