Journal
INFORMATION SCIENCES
Volume 507, Issue -, Pages 449-471Publisher
ELSEVIER SCIENCE INC
DOI: 10.1016/j.ins.2018.09.048
Keywords
Covering information system; Information granule; Information structure; Dependence; Information distance; Inclusion degree; Information granularity; Characterization
Categories
Funding
- National Natural Science Foundation of China [11461005]
- Natural Science Foundation of Guangxi [2016GXNSFAA380045, 2016GXNSFAA380282, 2016GXNSFAA380286]
- Key Laboratory of Optimization Control and Engineering Calculation in Department of Guangxi Education
- Special Funds of Guangxi Distinguished Experts Construction Engineering, Engineering Project of Undergraduate Teaching Reform of Higher Education in Guangxi [2017JGA179]
- High Level Innovation Team Program from Guangxi Higher Education Institutions of China [[2018] 35]
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A covering information system as the generalization of an information system is an important model in the field of artificial intelligence. This paper explores information structures in a covering information system, and this kind of structure is viewed as a granular structure from the granular computing viewpoint. The concept of information structures in a covering information system is first described by means of set vectors. Then, relationships between information structures in a covering information system are studied from the two aspects of dependence and separation. Next, properties of information structures in a covering information system are given. Furthermore, invariant characterizations of covering information systems under homomorphisms are presented. Finally, as an application for information structures in a covering information system, the granularity measure of uncertainty for covering information systems is investigated. These results will be very helpful for establishing a framework for granular computing in information systems. (C) 2018 Elsevier Inc. All rights reserved.
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