Characterization of L-Fuzzy Semi-Filters and Semi-Ideals
نویسندگان
چکیده
Lattice-valued up-sets and down-sets of a poset are investigated under the cutworthy approach. It is proved that the collections of all lattice valued up-sets and down-sets of a given poset are complete lattices under fuzzy inclusion. Properties of these are investigated. For a given collection of crisp up-sets of a poset, necessary and sufficient conditions are given under which the family represents a collection of cuts of a lattice valued up-set. The corresponding conditions are also obtained for the analogous case of down-sets. Keywords— L-valued sets (L-fuzzy sets), L-valued up-sets, Lvalued down-sets.
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