2014•Mohu xitong yu shuxueRequires access

Fuzzy C-continuous Lattices

Feng Juan-jua

Abstract

Fuzzy beneath relation and fuzzy beneath compact element on fuzzy complete lattices are defined,and the concepts of fuzzy C-continuous lattices and fuzzy C-algebraic lattices are introduced,which can be considered as generalizations of the concepts of C-continuous lattices and C-algebraic lattices.Some properties of the fuzzy beneath relation on fuzzy C-continuous lattices are discussed.An equivalent characterization of fuzzy C-continuous lattices is given by using fuzzy Galois connections.

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Key concepts: Mathematics, Fuzzy logic, Fuzzy subalgebra, Algebra over a field, Characterization (materials science), Fuzzy set operations, Fuzzy classification, Relation (database)