L-Fuzzy Filters of a Poset

Berhanu Assaye Alaba, Mihret Alamneh, Derso Abeje


Many generalizations of ideals and filters of a lattice to an arbitrary poset have been studied by different scholars. The authors of this paper introduced several generalizations of L-fuzzy ideal of a lattice to an arbitrary poset in [1]. In this paper, we introduce several L-fuzzy filters of a poset which generalize the L-fuzzy filter of a lattice and give several characterizations of them.


Poset; Filter; L-fuzzy closed Filter; L-fuzzy Frink Filter; L-fuzzy V-Filter; L-fuzzy M-Filter; L-fuzzy Semi-Filter; L-Fuzzy Filter; l-L-fuzzy filter

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DOI: http://dx.doi.org/10.12962/j24775401.v5i1.3779


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