  In this article we introduce the study of fuzzy semihyperrings and fuzzy
R-semihypermodules, where R is a semihyperrings and R-semihypermodules are
represntations of R. In particular, semihyperrings all of whose hyperideals are
idempotent, called fully idempotent semihyperrings, are investigated in a fuzzy
context. It is proved, among other results, that a semihyperring R is fully
idempotent if and only if the lattics of fuzzy hyperideals of R is distributive
under the sum and product of fuzzy hyperideals. It is also shown that the set
of proper fuzzy prime hyperideals of a fully idempotent semihyperring R admits
the structure of a topological space, called the fuzzy prime spectrum of R.
