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Three Weaker Forms of Soft Faint Continuity
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The authors of this paper introduce and discuss three weaker forms of soft faint continuity: soft faint semi-continuity, soft faint pre-continuity, and soft faint β-continuity. They characterize each of them in several ways. They also demonstrate how they are preserved under some restrictions. Moreover, they prove that a soft function is also soft faint semi-continuous (resp. soft faint pre-continuous, soft faint β-continuous) if its soft graph function is also soft faint semi-continuous (resp. soft faint pre-continuous, soft faint β-continuous). Moreover, they show that a soft function is soft faint semi-continuous (resp. soft faint pre-continuous, soft faint β-continuous) iff it is soft semi-continuous provided that it has a soft regular codomain. Finally, the symmetry between our new ideas and their analogous topological ones is investigated.
Title: Three Weaker Forms of Soft Faint Continuity
Description:
The authors of this paper introduce and discuss three weaker forms of soft faint continuity: soft faint semi-continuity, soft faint pre-continuity, and soft faint β-continuity.
They characterize each of them in several ways.
They also demonstrate how they are preserved under some restrictions.
Moreover, they prove that a soft function is also soft faint semi-continuous (resp.
soft faint pre-continuous, soft faint β-continuous) if its soft graph function is also soft faint semi-continuous (resp.
soft faint pre-continuous, soft faint β-continuous).
Moreover, they show that a soft function is soft faint semi-continuous (resp.
soft faint pre-continuous, soft faint β-continuous) iff it is soft semi-continuous provided that it has a soft regular codomain.
Finally, the symmetry between our new ideas and their analogous topological ones is investigated.
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