In this paper,we initiate a study of S-fuzzy ideal(filter) of a lattice where S stands for a meet semilattice.A S-fuzzy prime ideal(filter) of a lattice is defined and it is proved that a S-fuzzy ideal(filter) of a la...In this paper,we initiate a study of S-fuzzy ideal(filter) of a lattice where S stands for a meet semilattice.A S-fuzzy prime ideal(filter) of a lattice is defined and it is proved that a S-fuzzy ideal(filter) of a lattice is S-fuzzy prime ideal(filter) if and only if any non-empty α-cut of it is a prime ideal(filter).Stone's theorem for a distributive lattice is extended by considering S-fuzzy ideals(filters).展开更多
基金Supported by the National Natural ScienceFoundation(103410020)Supported by the Guangdong Provincial NaturalScienceFoundation of China(0501332)Supported by the Guangdong EducationalDepartment Natural Science Foundation of China
基金UGC,New Delhi for financial support through scheme F.No33-109/2007(SR)
文摘In this paper,we initiate a study of S-fuzzy ideal(filter) of a lattice where S stands for a meet semilattice.A S-fuzzy prime ideal(filter) of a lattice is defined and it is proved that a S-fuzzy ideal(filter) of a lattice is S-fuzzy prime ideal(filter) if and only if any non-empty α-cut of it is a prime ideal(filter).Stone's theorem for a distributive lattice is extended by considering S-fuzzy ideals(filters).
基金Supported by the National Natural Science Foundation(103410020)GuangDong Provincial Natural Science Foundation of China(0501332)+1 种基金Anhui Provincial Excellent Youth Talent Foundation(2009SQRZ149)Fuyang Normal College Youth Foundation(2008LQ11)
