Investigation and corrigendum to some results related to g-soft equality and gf -soft equality relations

Abstract

Since Molodtsov defined the concept of soft sets, many types of soft equality relations between two soft sets were discussed. Amongthese types are 1-soft equality and gf-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 gf-soft union and gf-soft intersection for arbitrary family of soft sets.

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