More on fuzzy lattices

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• 作者：O. Kazanc? ; B. Davvaz
• 关键词：Sublattice ; (&isin ; &isin ; &or ; qk)-fuzzy sublattice (ideal ; filter) ; -fuzzy sublattice (ideal ; filter) ; Fuzzy sublattice (ideal ; filter) with thresholds
• 刊名：Computers and Mathematics with Applications
• 出版年：2012
• 出版时间：November, 2012
• 年：2012
• 卷：64
• 期：9
• 页码：2917-2925
• 全文大小：249 K

文摘

In this paper, the concept of an -fuzzy sublattice (ideal, filter) and -fuzzy sublattice (ideal, filter) in a lattice is introduced, which is a generalization of the concept as given by Davvaz and Kazanc?(2011) . Characterizations for an -fuzzy sublattice (ideal, filter) and -fuzzy sublattice (ideal, filter) are provided. Different classes of lattices are characterized by the properties of these fuzzy sublattices (ideals, filters). Using the notions of a fuzzy sublattice (ideal, filter) with thresholds, characterization of a fuzzy sublattice (ideal, filter), an -fuzzy sublattice (ideal, filter) and -fuzzy sublattice (ideal, filter) are discussed.