in this paper we enumerate fuzzy subgroups, up to a natural equivalence, of some finite abelian p-groups of rank two where p is any prime number. after obtaining the number of maximal chains of subgroups, we count fuzzy subgroups using inductive arguments. the number of such fuzzy subgroups forms a polynomial in p with pleasing combinatorial coefficients. by exploiting the order, we label the s...

<p>We elaborate in this paper a new structure Pythagorean fuzzy<br />$N$-soft groups which is the generalization of intuitionistic />soft group initiated by Karaaslan 2013. In />N-soft sets concepts fuzzy sets, soft N-soft soft<br />sets, are<br />generalized. We also talk about some elementary basic and<br />operations on with assistance of<br />illusi...