on fuzzy convex lattice-ordered subgroups
چکیده
in this paper, the concept of fuzzy convex subgroup (resp. fuzzy convex lattice-ordered subgroup) of an ordered group (resp. lattice-ordered group) is introduced and some properties, characterizations and related results are given. also, the fuzzy convex subgroup (resp. fuzzy convex lattice-ordered subgroup) generated by a fuzzy subgroup (resp. fuzzy subsemigroup) is characterized. furthermore, the fundamental homomorphism theorem is established. finally, it is proved that the class of all fuzzy convex lattice-ordered subgroups of a lattice-ordered group $g$ forms a complete heyting sublattice of the lattice of fuzzy subgroups of $g$.