International Journal of Applied Mathematics and Machine LearningAuthor's: Guopeng Wang, Wen Qin and Lingqiang Li
Pages: [123] - [137]
Received Date: October 28, 2014; Revised November 26, 2014
Submitted by: Jianqiang Gao.
The Zoom-in and Zoom-out operators play an important role in the model of granular computing based on covering. In this paper, a new Zoom-in operator is defined, the combination operators formed by the Zoom-in and Zoom-out operators on the (granulated) universe of discourse are presented, and their relationships to covering rough set, topological space, and Galois connection are discussed. In particular, it is proved that a pair of approximation operators on the universe of discourse obtained by the combination of the Zoom-in operator and Zoom-out operator, are precisely the second type of covering-based lower and upper approximation operators.
topology, rough set, granular computing, covering, zoom-in, zoom-out.
