Affiliations: School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China. pzhubupt@gmail.com | College of Science, Beijing Forestry University, Beijing 100083, China. xhyang@bjfu.edu.cn | State Key Laboratory of Networking and Switching, Beijing University of Posts and Telecommunications, Beijing 100876, China. wqy@bupt.edu.cn
Note: [] The authors would like to thank the reviewers for their invaluable suggestions and comments. This work was supported by the National Natural Science Foundation of China under Grants 61170270, 61121061, and 61370053. Also works: State Key Laboratory of Networking and Switching, Beijing University of Posts and Telecommunications, Beijing 100876, China. Address for correspondence: School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China
Note: [] The authors would like to thank the reviewers for their invaluable suggestions and comments. This work was supported by the National Natural Science Foundation of China under Grants 61170270, 61121061, and 61370053.
Note: [] The authors would like to thank the reviewers for their invaluable suggestions and comments. This work was supported by the National Natural Science Foundation of China under Grants 61170270, 61121061, and 61370053.
Abstract: In recent years, homomorphisms have been exploited to compare the structures and properties of two generalized information systems. Some of these homomorphisms are based on consistent functions, which are a class of special mappings between universal sets. The purpose of this paper is to unify and extend the consistent functions in the literature into the framework of neighborhood systems. After introducing the notion of consistent functions with respect to neighborhood systems, we explore some important properties of the extended consistent functions such as preserving the inverse images and the intersections of neighborhoods. Our results provide a sound basis for further investigating neighborhood systems via homomorphisms.
