关键词: 属性约简, 模糊目标信息系统, 优势关系, 广义决策

Abstract: In practice, most of information systems are not only fuzzfied internationally or not, but also based on dominance relations because of various factors. To acquire brief fuzzy decision rules in fuzzy objective information systems based on dominance relations, attribute reductions are needed. The main objective of this paper is to study this subject. The concept of generalized decision is proposed. Three types of reductions are minimal subsets of the condition attributes which preserve the 1ower/upper of generalized decision and generalized decision for all objects in the universe respectively. Practical approaches to compute all three kinds of reductions are then presented by introducing of discernibility matrix and discernibility function. Moreover, a numerical example is employed to substantiate the conceptual arguments.

Key words: attribute reductions, fuzzy objective information systems, dominance relations, generalized decision