Abstract
In this chapter, first we construct some lattices—AFS algebras using sets X and M over an AFS structure (M,τ,X) for the representation of the membership degrees of each sample x ∈ X belonging to the fuzzy concepts in EM. Then the mathematical properties and structures of AFS algebras are exhaustively discussed. Finally, the relations, advantages and drawbacks of various kinds of AFS representations for fuzzy concepts in EM are analyzed. Some results listed without proofs are left for the reader as exercises.KeywordsBoolean AlgebraDistributive LatticeMembership DegreeAlgebraic PropertySimple ConceptThese keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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