Affiliation:
1. School of Mathematics and Statistics, Shaanxi Normal University, Xi’an, PR China
Abstract
This paper studies information structures in a fuzzy β-covering information system. We introduce the concepts of a fuzzy β-covering information system and homomorphism between them, and investigate related properties. The concept of information structure of a fuzzy β-covering information system is given. We discuss the relationships between information structures from the view of dependence and separation. Then granularity measures for a fuzzy β-covering information system are studied. Finally, we discuss invariance of fuzzy β-covering information systems under homomorphism and illustrate its application on data compression.
Subject
Artificial Intelligence,General Engineering,Statistics and Probability
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