4.6 Article

Lattice structure on some fuzzy algebraic systems

期刊

SOFT COMPUTING
卷 12, 期 8, 页码 739-749

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SPRINGER
DOI: 10.1007/s00500-007-0232-5

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distributive (Modular) lattice; (BCC) BCK-algebra; fuzzy (normal) subgroup; G-fuzzy subgroup; fuzzy hyperideal

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In this paper, we study the lattice structure of some fuzzy algebraic systems such as (G-)fuzzy groups, some fuzzy ordered algebras and fuzzy hyperstructures. We prove that under suitable conditions, these structures form a distributive or modular lattice.

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