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中文摘要：
讨论了优势关系下的双极值信息系统以及在多属性决策上应用.通过定义属性对象xi 优于xj 的概率,建立α - 优势关系的概率粗糙模型,并依据粒计算理论和属性类别,将单粒度推广到二粒度下的粗糙集,定义了二粒度下优势度公式,再通过集成得到综合优势度,通过比较大小值确定最优决策.
英文摘要：
The bipolar-valued information systems based on dominance relation and its application on multi-attribute deci-sion-making have been investigated. A probability-rough model based on α -dominance relation is defined by given the probability of xi superior to xj . Taking into account granular computing theory and attribute types, it extends single gran-ulation to two-granulation rough set and a new dominance degree formula is defined. Then, calculating the whole dominance degree with aggregation thought and ranking them, the best choice can be made.
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