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The Scientific World Journal
Volume 2014 (2014), Article ID 348683, 13 pages
Research Article

Rough Atanassov’s Intuitionistic Fuzzy Sets Model over Two Universes and Its Applications

School of Mathematics and Statistics, Chongqing University of Technology, Chongqing 400054, China

Received 26 August 2013; Accepted 18 November 2013; Published 13 May 2014

Academic Editors: E. Haghverdi, M. Mansour, and H. Xu

Copyright © 2014 Shuqun Luo and Weihua Xu. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.


Recently, much attention has been given to the rough set models based on two universes. And many rough set models based on two universes have been developed from different points of view. In this paper, a novel model, that is, rough Atanassov’s intuitionistic fuzzy sets model over two different universes, is firstly proposed from Atanassov’s intuitionistic point of view. We study some important properties of approximation operators and investigate the rough degree in the novel model. Furthermore, an illustrated example is employed to demonstrate the conceptual arguments of the model. Finally, rough Atanassov’s intuitionistic fuzzy sets approach to decision is presented in the generalized approximation space over two universes by considering the problem about how to arrange patients to see the doctor reasonably, from which it can be found that the method is valuable and useful in real life.