Right ternary near-rings are generalization of their binary counterpart and fuzzy soft sets are generalization of soft sets which are parametrized family of subsets of a universal set. The authors in their earlier paper have introduced fuzzy soft right ternary near-rings, fuzzy soft ideals and studied their basic algebraic properties. In this paper fuzzy soft prime ideals, completely prime ideals and completely semi-prime ideals over a right ternary near-ring are defined and their basic algebraic properties are studied. The characterization theorems for fuzzy soft prime ideals, completely prime ideals and completely semi-prime ideals are given.

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