Lower density soft operators and density soft topologies

Ameen, Zanyar A.; Alqahtani, Mesfer H.; Alghamdi, Ohud F.

doi:10.1016/j.heliyon.2024.e35280

Heliyon

2024

DOI: 10.1016/j.heliyon.2024.e35280

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Lower density soft operators and density soft topologies

Zanyar A. Ameen,

Mesfer H. Alqahtani,

Ohud F. Alghamdi

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2024

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Three Weaker Forms of Soft Faint Continuity

Al-Ghour,

Abuzaid

2024

Symmetry

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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.

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Three Weaker Forms of Soft Faint Continuity

Al-Ghour,

Abuzaid

2024

Symmetry

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Lower density soft operators and density soft topologies

Cited by 1 publication

References 43 publications

Three Weaker Forms of Soft Faint Continuity

Three Weaker Forms of Soft Faint Continuity

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