On the connection of fuzzy hypergraph with fuzzy information system

The task of classification has been widely researched with many approaches proposed in the literature, several methods are available for the automatic definition of fuzzy classification. Meanwhile fuzzy formal concept analysis, fuzzy information system and fuzzy hypergraphs are three well-developed fields of study. In this paper, we researched fuzzy classification through connecting these three topics, and the equivalence relationship between fuzzy hypergraphs and fuzzy formal concept analysis and fuzzy information systems. At last, the particular case of complete k-uniform fuzzy hypergraphs was studied. More in detail, we give the definition of indiscernibility relation generated by attributes of fuzzy information system. Based on this, we compute the indiscernibility class of fuzzy information system and the set of reducts.