Smarandache Soft Semigroups and their Properties

In this paper, the notions of Smarandache soft semigroups (SS-semigroups) introduced for the
first time. An SS-semigroup (F, A) is basically a parameterized collection of subsemigroups which has
atlest a proper soft subgroup of (F, A) . Some new type of SS-semigroup is also presented here such as
smarandache weak commutative semigroup, smarandache weak cyclic semigroup, smarandache hyper
subsemigroup etc. Some of their related properties and other notions have been discussed with sufficient
amount of examples.