id	author	title	date	pages	extension	mime	words	sentence	flesch	summary	cache	txt
iajs-2702	A, Hammood A.; B, Esmaeel R.	Some Games with Soft -ᶅ-Pre-Generalized Open Sets	2021	13	.pdf	application/pdf	6040	364	96	Sci. 34(4)2021 48 such that (ᶁℳ)𝑧 ∈̃ ((Ƌ𝑧, Ɖ) and (ᶁ𝒩)𝑧 ∈̃((Ư𝑧 , Ɖ) and (Ƌ𝑧, Ɖ) ∩̃ (Ư𝑧 , Ɖ = {∅̃}. See Example 3.4 Example 3.4: 𝐶𝑜𝑛𝑠𝑖𝑑𝑒𝑟 Ӽ = {ᶒ, ᶆ}, Ɖ ={𝑑1, d2},Ʈ={∅̃,χ̃, F(d) = {ᶒ} ∀d}then Ş𝑝O(Ӽ)= {( ∅) ̃, Ӽ ̃, (𝑀, Ɖ), (Ƞ, Ɖ), (𝑍, Ɖ), (𝐻, Ɖ), (𝐸, Ɖ), (𝑁, Ɖ), (𝐺, Ɖ), (Ȼ, Ɖ), (𝜔, Ɖ), (Ƌ, Ɖ), (𝛼, Ɖ)}, such that (ℳ, Ɖ)={(𝑑1,∅),(d2, {ᶒ})},(Ƞ, Ɖ)={(𝑑1,∅),(d2,{Ӽ})}, (𝒵, Ɖ)={(𝑑1,{ᶒ}),(d2,{ ∅})}, (ℋ, Ɖ) ={(𝑑1,{ᶒ}),(d2,{ᶒ})}, (ℰ, Ɖ)={( 𝑑1,{ ᶒ }),(d2,{ᶆ})}, (𝒩, Ɖ)={(𝑑1, {ᶒ}),(d2,{Ӽ})}, (𝒢, Ɖ)={(𝑑1,{ᶆ}),(d2,{ᶒ})}, (Ȼ, Ɖ)={(𝑑1,{ᶆ}),(d2,{Ӽ})}, (𝜔, Ɖ)={(𝑑1,Ӽ),(d2,{∅})}, (Ƌ, Ɖ)={(𝑑1,Ӽ),(d2,{ᶒ})}, (𝛼, Ɖ)={(𝑑1,Ӽ),(d2,{ᶆ})}, ᶅ = ŞŞ(Ӽ)Ɖ, 𝑠ᶅ𝑝𝑔-c(Ӽ)= 𝑠ᶅ𝑝𝑔-o(Ӽ)= ŞŞ(Ӽ)Ɖ. i. Let (ℰ, Ɖ) = {(d1, {ᶒ}), (d2, {ᶆ})} is a sᶅ𝑝𝑔-closed set, but (ℰ, Ɖ) is not 𝑐𝑙𝑜𝑠𝑒𝑑 softset.	cache/iajs-2702.pdf	txt/iajs-2702.txt