Luo Shuqun, Xu Weihua
School of Mathematics and Statistics, Chongqing University of Technology, Chongqing 400054, China.
ScientificWorldJournal. 2014;2014:348683. doi: 10.1155/2014/348683. Epub 2014 May 13.
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.
近年来，基于两个论域的粗糙集模型受到了广泛关注。并且从不同角度开发了许多基于两个论域的粗糙集模型。本文首先从阿塔纳索夫的直觉主义观点出发，提出了一种新颖的模型，即两个不同论域上的粗糙阿塔纳索夫直觉模糊集模型。我们研究了近似算子的一些重要性质，并探讨了该新颖模型中的粗糙度。此外，通过一个示例来说明该模型的概念论证。最后，通过考虑如何合理安排患者就诊的问题，在两个论域的广义近似空间中提出了粗糙阿塔纳索夫直觉模糊集决策方法，从中可以发现该方法在现实生活中有价值且有用。
