| The theory of concept lattice, also called formal concept analysis, proposed by the German mathematician Wille R. in 1982, is a efficient mathematical tool of data analysis and knowledge discovery. It is perfect in theory, widely extended in application since the 1990s, and further, it has gradually become an important research object of artificial intelligence discipline. At present, the theory of concept lattice has been widely applied in data mining, knowledge acqui-sition, information retrieval, machine learning, granular computing, software engineering and other fields.Formal concept analysis first mainly focuses on the classic form background, but in reality the relationship between objects and attributes are often fuzzy and uncertainty,so the concept lattice is extended into fuzzy concept lattice. Because of the more detailed depiction of the real world’s fuzziness of intuitionistic fuzzy relations, so we expand the classic form background to the intuitionistic fuzzy formal context. The study of intuitionistic fuzzy concept lattice has a more important significance in real decision-making.This paper firstly turns intuitionistic fuzzy information system into classic form background by using dominance relation,defines a pair of operators and constructes the concepts based on the classic form background,then gives approaches to attribute reduct of concept lattices in the intuitionistic fuzzy information system; Secondly constructes the intuitionistic fuzzy T-concepts and their intuitionistic fuzzy T-concept lattices based on intuitionistic fuzzy formal context, and gives an approach to attribute reduct of intuitionistic fuzzy T-concept lattices; At last on the basis of consistent intuitionistic fuzzy decision formal context, we introduce consistent intuitionistic fuzzy decision formal context, and discuss the problems of attribute reduction and rule acquisition in consistent intuitionistic fuzzy decision formal context. |
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