Title of Paper:The Homomorphism Maps between Variable Threshold Concept Lattice and AFS Algebras

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Date of Publication:2011-01-01

Journal:APPLIED MATHEMATICS & INFORMATION SCIENCES

Included Journals:Scopus、SCIE

Volume:5

Issue:1

Page Number:98-111

ISSN No.:1935-0090

Key Words:AFS algebra; variable threshold concept lattice; completely distributive lattice; homomorphism map

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.