Generalized fuzzy filters of lattice implication algebras

Authors:
Jianming Zhan;Yang Xu
Affiliations:
Department of Mathematics, Hubei Institute for Nationalities, Enshi, Hubei Province, China;Department of Applied Mathematics, Southwest Jiaotong University, Chengdu, Sichuan, China
Venue:
FSKD'09 Proceedings of the 6th international conference on Fuzzy systems and knowledge discovery - Volume 6
Year:
2009

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Abstract

The concept of (∈, ∈ ∨q)-fuzzy filters of lattice implication algebras is introduced and some related properties are investigated. In particular, we describe the relationships among ordinary fuzzy filters, (∈, ∈ ∨q)-fuzzy filters and (∈, ∈ ∨q)-fuzzy filters of lattice implication algebras.