Affiliations: School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China | State Key Laboratory of Networking and Switching, Beijing University of Posts and Telecommunications, Beijing 100876, China, pzhubupt@gmail.com
Note: [] Address for correspondence: School of Science, Beijing University of Posts and Telecommunications, Beijing 100876, China The author 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 61070251, 61170270, and 61121061 and the Fundamental Research Funds for the Central Universities under Grant 2012RC0710.
Abstract: To capture the uncertainty of information or knowledge in information systems, various information granulations, also known as knowledge granulations, have been proposed. Recently, several axiomatic definitions of information granulation have been introduced. In this paper, we try to improve these axiomatic definitions and give a universal construction of information granulation by relating information granulations with a class of functions of multiple variables. We show that the improved axiomatic definition has some concrete information granulations in the literature as instances.
Keywords: Information system, equivalence relation, information granulation, knowledge granulation, granulation measure
