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函数单向SPF-粗集与它的概率特征
引用本文:苏芬肖,张玲. 函数单向SPF-粗集与它的概率特征[J]. 山东大学学报(理学版), 2008, 43(12): 56-60
作者姓名:苏芬肖  张玲
作者单位:山东大学数学学院,山东,济南,250100
基金项目:山东省自然科学基金,海南省自然科学基金 
摘    要:基于函数S-粗集,结合函数迁移的随机性,提出了函数单向SPF-粗集概念,并给出它的数学结构。研究了函数单向SPF-粗集概率特性。证明了在概率的意义下,函数单向SPF-粗集是函数S-粗集,函数单向S-粗集的推广;函数S-粗集,函数单向S-粗集是函数单向SPF-粗集的特例。

关 键 词:函数S-粗集  函数单向S-粗集  概率测度函数PF  函数单向SPF-粗集
收稿时间:2008-08-29

Function one-direction SPF-rough sets and their probability characteristic
SU Fen-xiao,ZHANG Ling. Function one-direction SPF-rough sets and their probability characteristic[J]. Journal of Shandong University, 2008, 43(12): 56-60
Authors:SU Fen-xiao  ZHANG Ling
Affiliation:School of Mathematics and System Science, Shandong University, Jinan 250100, Shandong, China
Abstract:Based on function S-rough sets and the randomness of function transfer,the concept of function one-direction SPF-rough sets was put forth,and their mathematical structure was given.The probability characteristic of function one-direction SPF-rough sets was also discussed.It was proved that a function one-direction SPF-rough set was the generalization of function one-direction SPF-rough sets,and the function one-direction S-rough sets was a special case of function one-direction SPF-rough sets according to the probability.
Keywords:function S-rough sets  function one-direction S-rough sets  measure function of probability PF  function one-direction SPF-rough sets
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