  The paper provides the first constructions of strongly regular graphs and
association schemes from weakly regular plateaued functions over finite fields
of odd characteristic. We generalize the construction method of strongly
regular graphs from weakly regular bent functions given by Chee et al. in
[Journal of Algebraic Combinatorics, 34(2), 251-266, 2011] to weakly regular
plateaued functions. In this framework, we construct strongly regular graphs
with three types of parameters from weakly regular plateaued functions with
some homogeneous conditions. We also construct a family of association schemes
of class p from weakly regular p-ary plateaued functions.
