关键词: 粗糙集, 多属性决策, 不完备偏好决策系统, β-先验概率优势关系

Abstract:

A rough set model based on β-prior probability dominance relation is proposed to solve some problems in the incomplete information system with lots of preferential information. Firstly,the definition of β-prior probability dominance relation is proposed. Secondly,some related properties and approximation classification quality about the new model are discussed. The new model can improve accuracy of data forecast and classification by setting parameters'values. The classification achieved by the new model is almost as same as the classification judged by subjective cognition. The new model softens the dominance relation in some extent and increases the robustness in data analyzing and disposing. At last袁the new model proves its superiority by analyzing an example.

Key words: rough set, multiple attribute decision making, incomplete preferential decision system, β-prior probability
dominance relation