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01-Applied Mathematics & Information Sciences
An International Journal
               
 
 
 
 
 
 
 
 
 
 
 
 
 

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Volumes > Volume 05 > No. 1

 
   

The Homomorphism Maps between Variable Threshold Concept Lattice and AFS Algebras

PP: 98-111
Author(s)
Lidong Wang, Xiaodong Liu,
Abstract
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.

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