Information structures in a fuzzy β-covering information system

Article type: Research Article

Authors: Liu, Rui-Lin | Yang, Hai-Long^{; *} | Zhang, Li-Juan

Affiliations: School of Mathematics and Statistics, Shaanxi Normal University, Xi’an, PR China

Correspondence: [*] Corresponding author. Hai-Long Yang, School of Mathematics and Statistics, Shaanxi Normal University, Xi’an 710119, PR China. E-mail: [email protected].

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.

Keywords: Fuzzy β-covering, fuzzy β-covering information system, information structure, homomorphism, invariance property

DOI: 10.3233/JIFS-202824

Journal: Journal of Intelligent & Fuzzy Systems, vol. 40, no. 6, pp. 11691-11716, 2021