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The purpose of this paper is to determine the number of fuzzy subgroups of a finite abelian group of order p^nq^m. As an application of our main result, explicit formulas for the number of fuzzy subgroups of Z_p^n×Z_q^m and Z_p^n×Z_q^m are given.arXiv:1904.06642v1 fatcat:4yrzyeq42fcw7gxxfaswcaueky