关键词: 直觉模糊, 证据理论, 知识约简, 决策系统

Abstract: The decision system can be divided into coordinated decision system and uncoordinated decision system. Generally, the reductions of these two kinds of systems are inconsistent. This paper first introduces the basic concepts of relative reduction, relative belief reduction and relative plausibility reduction, and then sufficient unnecessary conditions of intuitionistic fuzzy rough sets with numerical characteristics are given. It is proven that the upper and lower approximation operators are additive and multiplicative. Then, the consistency of the decision system is analyzed. It turns out that relative reduction, relative belief reduction and relative plausibility reduction are equivalent when the decision system is consistent; when the decision system is inconsistent, the reduction of the inconsistent decision system is equivalent to the consistent decision system under the generalized decision advan-tage relationship. Based on the analysis, the research on the reduction of the intuitionistic fuzzy rough set decision system is further perfected.

Key words: intuitionistic fuzzy, evidence theory, knowledge reduction, decision system