Communication between fuzzy information systems using fuzzy covering-based rough sets

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Abstract

Information acquisition and communication play an important role in the field of information technology. Meanwhile, communication between fuzzy information systems is a basic problem in fuzzy systems. In this paper, we discuss the communication between fuzzy information systems by using fuzzy covering mappings and fuzzy covering-based rough sets, respectively. First, some properties of fuzzy covering mappings are investigated by Zadeh's extension principle. Then we address the communication between fuzzy information systems by using fuzzy covering mappings. Especially, by introducing some notions in fuzzy information system, we study the relationship between two fuzzy information systems which are defined in the same universe. Second, we propose a novel type of fuzzy covering-based rough set model in fuzzy information system. Some properties of this model are investigated. Finally, we study the communication between fuzzy information systems using fuzzy covering-based rough sets.

Keywords

Fuzzy set
Rough set
Fuzzy covering
Fuzzy β-covering
Fuzzy information system

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This paper is part of the Virtual special issue on Uncertainty in Granular Computing, Edited by Duoqian Miao and Yiyu Yao.