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The Homomorphism Maps between Variable Threshold Concept Lattice and AFS Algebras |
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PP: 98-111 |
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Author(s) |
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Lidong Wang,
Xiaodong Liu,
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Abstract |
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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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