Soft \beta c-open sets and soft \beta c-continuity

Three Classes of Soft Functions Via Soft -Open Sets and Soft -Closed Sets

“…A soft function 𝑓 ̃𝑝𝑢 : (𝑋 ̃, 𝜏, 𝒫) → (𝑌 ̃, 𝜎 ̃, 𝒫 ́) is known as soft open[8] (respectively, soft semi-open[7],soft α-open[9], soft pre-open[9], soft b-open[10], soft β-open[11], and soft 𝛽 𝑐open[13]), if 𝑓 ̃𝑝𝑢 (𝐴, 𝒫) ∈ ̃𝜎 ̃ (respectively, 𝑆 ̃𝑆𝑂(𝑌 ̃), 𝑆 ̃𝛼𝑂(𝑌 ̃), 𝑆 ̃𝑃𝑂(𝑌 ̃), 𝑆 ̃𝑏𝑂(𝑌 ̃), 𝑆 ̃𝛽𝑂(𝑌 ̃), and 𝑆 ̃𝛽𝑐 𝑂(𝑌 ̃)), ∀ (𝐴, 𝒫) ∈ ̃𝜏. Definition 1.12.…”