Modularity of the quasi-Hamiltonian fuzzy subgroups

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Abstract

Modularity of the lattice of all fuzzy subgroups of a quasi-Hamiltonian group is established. That the lattice of all normal fuzzy subgroups of an arbitrary group is modular follows as a corollary. The generation technique for a fuzzy group and a normal fuzzy group is given, and explicit formulas for such generated entities are deduced.

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