南京大学学报（自然科学版）2017，Vol.53Issue(5)：937-946,10.DOI:10.13232/j.cnki.jnju.2017.05.013
基于概率PS-粗糙集的动态三支决策及应用
Dynamic three way decisions and its application based on bidirectional transfer probabilistic PS-rough sets
摘要
Abstract
In practice,the set is dynamic,including elements moving in and moving out.The bidirectional transfer probabilistic PS-rough sets not only take into account the dynamic characteristics of the set but the rough sets theory of statistical information in the knowledge base.In order to solve the issue of three way decisions under set's dynamic changing,the model of three way decisions model based on bidirectional transfer probabilistic PS-rough sets was put forward.Firstly,according to the upper and lower approximation of bidirectional transfer probabilistic PS-rough sets,the probabilistic PS-positive region,negative region and boundary region were got,the rules of three way decisions on the bidirectional transfer probabilistic PS-rough sets were given,and the computing method and its properties of confidence coefficient and error rate were analyzed.Then,decision metric function and decision loss function of three-way decision based on bidirectional transfer probabilistic PS-rough sets were defined,and the estimation method of the threshold value based on the minimum risk decision rules of Bayesian decision theory was given.Finally,the decision properties of the dynamic model were discussed;the correctness and feasibility of the model were proved by an example of moving in and moving out of elements.关键词
双向概率PS-粗糙集/三支决策/动态决策/阈 值Key words
bidirectional transfer probabilistic PS-rough sets/three-way decisions/dynamic decision/threshold value分类
信息技术与安全科学引用本文复制引用
张春英,乔鹏,王立亚,刘璐,张建松..基于概率PS-粗糙集的动态三支决策及应用[J].南京大学学报（自然科学版）,2017,53(5):937-946,10.基金项目
国家自然科学基金(61370168,61472340),河北省自然科学基金(F2016209344),华北理工大学博士启动基金(3467),华北理工大学青年科学基金(Z201621) （61370168,61472340）
