Since Molodtsov defined the concept of soft sets, many types of soft equality relations between two soft sets were discussed. Among these types are-soft equality and f-soft equality relations introduced in [1] and [2], respectively. In this paper, we first aim to show that some results obtained in [1, 2] need not be true, by giving two counterexamples. Second, we investigate under what conditions these results are correct. Finally, we define and study the concepts of f-soft union and f-soft intersection for arbitrary family of soft sets,