The Homomorphism Maps between Variable Threshold Concept Lattice and AFS Algebras

Lidong Wang, Xiaodong Liu · 2011

Variable threshold concept lattice (VTCL) was proposed by Ma et al.(2006), which provide a new parameterized way to obtain formal concepts from data with fuzzy attributes. Axiomatic Fuzzy Set (AFS) algebras were proposed by Liu (1998), which are new semantic methodology relating to the fuzzy theory. In this paper, in order to explore the relationship between the AFS algebras and VTCL, three algebra homomorphism maps are established, by which one can find that AFS algebras have similar properties to VTCL.

Read the paper · More papers on PaperTik