Title :
Formal concept analysis on fuzzy sets
Author :
Lili Shen ; Dexue Zhang
Author_Institution :
Sch. of Math., Sichuan Univ., Chengdu, China
Abstract :
Formal Concept Analysis (FCA) is a theory on relations between sets, and has already been extended to a theory on fuzzy relations between (crisp) sets. In this note, in the case that (L; &) is a commutative and divisible complete residuated lattice, FCA is extended further to a theory on fuzzy relations between fuzzy sets. In particular, the fundamental theorem of FCA on fuzzy relations between fuzzy sets is established.
Keywords :
formal concept analysis; fuzzy set theory; FCA; commutative complete residuated lattice; crisp sets; divisible complete residuated lattice; formal concept analysis; fuzzy relations; fuzzy sets; set relation; Commutation; Context; Educational institutions; Formal concept analysis; Fuzzy sets; Lattices;
Conference_Titel :
IFSA World Congress and NAFIPS Annual Meeting (IFSA/NAFIPS), 2013 Joint
Conference_Location :
Edmonton, AB
DOI :
10.1109/IFSA-NAFIPS.2013.6608402
