A Note on the Fuzzy Filters of Lattice Implication Algebras

ZHAO Guang-feng; XUYang; SONG Zhen-ming

Volume 15 Issue 4

Aug. 2002

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Journal of Southwest Jiaotong University > 2002 > 15(4): 477-481.

ZHAO Guang-feng, XUYang, SONG Zhen-ming. A Note on the Fuzzy Filters of Lattice Implication Algebras[J]. Journal of Southwest Jiaotong University, 2002, 15(4): 477-481.

Citation:

ZHAO Guang-feng, XUYang, SONG Zhen-ming. A Note on the Fuzzy Filters of Lattice Implication Algebras[J]. Journal of Southwest Jiaotong University, 2002, 15(4): 477-481.

ZHAO Guang-feng, XUYang, SONG Zhen-ming. A Note on the Fuzzy Filters of Lattice Implication Algebras[J]. Journal of Southwest Jiaotong University, 2002, 15(4): 477-481.

Citation:

ZHAO Guang-feng, XUYang, SONG Zhen-ming. A Note on the Fuzzy Filters of Lattice Implication Algebras[J]. Journal of Southwest Jiaotong University, 2002, 15(4): 477-481.

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A Note on the Fuzzy Filters of Lattice Implication Algebras

Publish Date: 25 Aug 2002

Abstract

Abstract

The properties of the fuzzy filters of lattice implication algebras are further studied on the basis of the structures of lattice implication algebra. It is shown that a family of congruence relations can be induced by a fuzzy filter of lattice implication algebra. The algebraic structure of this family of congruence relations, along with the homomorphism mapping between the quotient lattice implication algebras induced by the congruence relations, is also studied
- fuzzy algebra,
- filters,
- congruence,
- fuzzy filter