Abstract:

Soft sets theory is emerging as a powerful tool for reasoning about data. The data representation is more flexible and the data analysis process has effectively simplified by method of soft sets. It has important application in artificial intelligence and cognitive science. Using soft set theory, the paper proposes the notion of incomplete decision soft sets, dominance relation and dominance sets, respectively. Furthermore, an effective approach is given to obtain optimal credible rules using dominance relation in incomplete soft set, and an algorithm of soft optimal credible rules mining is introduced. Theory proof and case analysis show that the method is effective and simplifies the process of reduction greatly in comparision to coarse sets, thus improving the efficiency.     

Key words: incomplete decision system;soft sets;dominance relation;dominance credible rules