摘要: By introducing a degree dominance relation to dominance interval intuitionistic fuzzy decision systems, we establish a degree dominance interval rough set model (RSM), which is mainly based on replacing the indiscernibility relation in classical rough set theory with the degree dominance interval relation. To simplify knowledge representation and extract some nontrivial simpler degree dominance interval intuitionistic fuzzy decision rules, we propose two attribute reductions of the degree dominance interval intuitionistic fuzzy decision systems that eliminate the redundant condition attributes that are not essential from the viewpoint of degree dominance interval intuitionistic fuzzy decision rules.

357

作者: Xian Yong Zhang, Fang Xiong, Zhi Wen Mo, Lan Shu

摘要: Grade is an important index for quantitative research, and graded rough set model is an important extended rough set model. This paper aims to study logical AND operation of grade approximation operators and its algorithms in graded rough set model. Based on logical AND requirement of grade index, logical AND operation of grade approximation operators is proposed and analyzed, and its essence and basic structure are obtained. Both conventional algorithm and microscopic algorithm are proposed and analyzed, and a conclusion is drawn that microscopic algorithm has more advantages in contrast to conventional algorithm. Finally, logical AND operation of grade approximation operators and its algorithms are illustrated by an example.

1701

作者: Hong Mei Nie, Jia Qing Zhou

摘要: Rough set theory has been proposed by Pawlak as a useful tool for dealing with the vagueness and granularity in information systems. Classical rough set theory is based on equivalence relation. The covering rough sets are an improvement of Pawlak rough set to deal with complex practical problems which the latter one can not handle. This paper studies covering-based generalized rough sets. In this setting, we investigate common properties of classical lower and upper approximation operations hold for the covering-based lower and upper approximation operations and relationships among some type of covering rough sets.

735

作者: Lian Chen, Ming Qing Xiao, Sheng Sheng, Yan Tao Ma

摘要: Due to vary kinds of factors, test results for a weapon system may be incomplete and hard to make decisions for fault diagnosis. Aimed at the problem of the weapon system inconsistent decision-making for fault diagnosis, introduced the method of consistent approximation space. Firstly the definition of inconsistent decision-making information system was brought forward, and then the consistent approximation space was formed. Attribute reduction for the consistent approximation space and an approach for rule amalgamation were also presented. Finally, a case was used to prove this method; the result shows that the method of consistent approximation space can solve the inconsistent decision-making for fault diagnosis problems effectively.

1739

作者: Wan Li Zhong, Wei Wang, Jie Dong Lin, Ming Nie, Chang Hong Liu

摘要: During the analysis of stability heat conduction in the composite pipes, firstly, when the heat equation contained fuzzy and random uncertain parameters, interval equations of the heat conduction are presented in the rough set. Secondly, the error expecting of heat conduction equation is presented. Finally, with upper (lower) approximation in rough set, a new method of the rough set analysis to deal with the stability heat conduction is presented.

371