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The main goal of this article is to prove the Symmetry Property for the formula of the number of fuzzy subgroup of some rectangle groups. Firstly, we construct the formula of the number of fuzzy subgroups of rectangle groups for m × s in size by using expansion method. At the end, we prove the symmetry property for that groups. Mathematics Subject Classification: 03E72, 08A72, 20N25, 94D05doi:10.12988/imf.2016.51081 fatcat:32xglckdh5dkvksqvq4wt5skau