关键词: 变精度粗糙集, 程度粗糙集, 双量化, 双论域

Abstract: The double quantization method can describe the uncertainty nature of decision object in approximate space. In this paper, the basic model of dual quantization rough set is discussed under the framework of double domain. The background and significance of the double-domain quantization rough set are given by the practical decision-making problem. The basic definition of the double - domain quantization rough set is given by combining the classical variable precision rough set and the degree rough set. Furthermore, the basic properties of the upper and lower approximations and the relationship with the existing rough set model are systematically discussed, and the matrix calculation method is given. Finally, based on the established theoretical model and method, it gives the application of dual-domain quantization rough set in disease diagnosis decision-making. The application of theoretical model is illustrated by an example.

Key words: variable precision rough set, degree rough set, double quantification, two universes