In this paper we consider the fuzzy subgroup of a given group defined
by generalized triangular norms and conorms introduced by Yager (1986)
. The definitions of a (anti) fuzzy subgroup and a (anti) pseudo fuzzy
subgroup are reviewed. Then, a generalized Fuzzy Cayley Theorem, as w
ell as a partial generalization of Fuzzy Lagrange Theorem are given. A
lso, a unified approach for studying fuzzy quotient subgroups is discu
ssed. Some correspondence theorems for several kinds of fuzzy subgroup
s are proved and examples of generalized triangular norms (conorms) ar
e given.