函数单向SPF-粗集与它的概率特征

J4 ›› 2008, Vol. 43 ›› Issue (12): 56-60.

函数单向S_PF-粗集与它的概率特征

苏芬肖,张玲

山东大学数学学院, 山东济南 250100

收稿日期:2008-08-29 出版日期:2008-12-16 发布日期:2009-11-09
通讯作者: 苏芬肖 fenxiaosu@mail.sdu.edu.cn

Function one-direction S_PF-rough sets and their probability characteristic

SU Fen-Xiao, ZHANG Ling

School of Mathematics and System Science, Shandong University, Jinan 250100, Shandong, China

Received:2008-08-29 Online:2008-12-16 Published:2009-11-09

摘要/Abstract

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S_PF-粗集概念,并给出它的数学结构。研究了函数单向S_PF-粗集概率特性。证明了在概率的意义下,函数单向S_PF-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S_PF-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P_F;函数单向S_PF-粗集

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 S_PF-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 S_PF^-rough sets according to the probability.

Key words: function S-rough sets; function one-direction S-rough sets; measure function of probability PF; function one-direction　S_PF-rough sets

中图分类号:

O159

苏芬肖张玲. 函数单向S_PF-粗集与它的概率特征[J]. J4, 2008, 43(12): 56-60.

SU Fen-Xiao, ZHANG Ling. Function one-direction S_PF-rough sets and their probability characteristic[J]. J4, 2008, 43(12): 56-60.

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