Title :
Formal concept analysis in intuitionistic fuzzy formal context
Author_Institution :
Coll. of Math., Chengdu Univ. of Inf. Technol., Chengdu, China
Abstract :
This paper mainly studies the formal concept analysis in an intuitionistic fuzzy formal context. The primitive notions in concept lattice theory are extended to the intuitionistic fuzzy environment. According to this view, the notion of crisp-intuitionistic fuzzy concept is proposed which originates from an defined extent operator and an intent operator. Some basic properties are discussed. As a result, it is proved that the family of all crisp-intuitionistic fuzzy concepts induced by this two operators just forms a complete lattice.
Keywords :
data analysis; fuzzy logic; fuzzy set theory; lattice theory; concept lattice theory; crisp-intuitionistic fuzzy concept; extent operator; formal concept analysis; intent operator; intuitionistic fuzzy environment; intuitionistic fuzzy formal context; Approximation methods; Context; Data mining; Fuzzy sets; Indexes; Lattices;
Conference_Titel :
Fuzzy Systems and Knowledge Discovery (FSKD), 2010 Seventh International Conference on
Conference_Location :
Yantai, Shandong
Print_ISBN :
978-1-4244-5931-5
DOI :
10.1109/FSKD.2010.5569658
