基于综合函数的模糊粗糙近似算子  

FUZZY APPROXIMATION OPERATORS BASED ON MULTIFACTORIAL FUNCTION

作　　者：胡凯[1] 王加银[1] 王志高[2] 

机构地区：[1]北京师范大学数学科学学院,数学与复杂系统教育部重点实验室,北京100875 [2]中国劳动关系学院基础部,北京100048

出　　处：《北京师范大学学报（自然科学版）》2010年第6期657-660,共4页Journal of Beijing Normal University(Natural Science)

基　　金：国家自然科学基金资助项目(60774049)

摘　　要：综合函数作为因素状态合成的工具,在多准则Fuzzy决策、综合程度估计以及多因素Fuzzy决策当中都得到了成功的应用.本文利用因素空间中综合函数的概念推广了Pawlak粗糙集模型,定义了一对模糊上下近似算子,并研究了算子的性质.Multifactorial function as a tool for factor state composition has been applied successfully in fuzzy decision making and comprehensive degree evaluation. In this paper, additive standard multifactorial function has been studied. A definition of fuzzy approximation operators is given based on multifactorial function, its properties are investigated

关 键 词：因素空间 综合函数 模糊上下近似 粗糙度 

分 类 号：O159[理学—数学]