Summary: In [A study on graph structures, incidence algebras and their fuzzy analogues. Kerala, India: Kannur University (PhD Thesis) (2011)], the author introduced the concept of fuzzy incidence graph using the concept of fuzzy incidence. In this paper, some new concepts like fuzzy incidence tree, fuzzy incidence forest, fuzzy incidence cycle, cutpair, etc., are introduced and some results are obtained.