The Model and Approach of Emergency Decision-making Based on Fuzzy Rough Set over Two Universes
Sun Bing-zhe · Yunchou yu guanli · 2014
In this paper,we discuss the theory of fuzzy rough set over two universes with the background of emergency decision-making. Then we define a fuzzy rough set model based on fuzzy compatible relation over two universes. By the theory of fuzzy rough set over two universes,the emergency decision-making changes into a rough approximation of a fuzzy decision object on the decision approximation space over two universes. So,we construct the model of emergency decision making based on fuzzy rough set over two universes. We first compute the lower( upper) approximation of the fuzzy decision object with respect to the approximation space over two universes, and then present the decision rules by combing the idea of uncertainty decision-making. Moreover,the algorithm of the model is given. This model gives a kind of decision approach to emergency decision-making under the condition of incomplete information. Furthermore,it also gives the optimal decision rules with the confidence coefficient by considering the preference of the decision-makers. The proposed method could give a properly descriptive of the characters for the emergency decision making with incomplete information,limited recourses of humans and materials and urgently time. Therefore,it can provide a basic theory and a decision approach in practice for emergency decision-making. Finally,the validity of the approach and the applied process is tested by a numerical example.