As a generalization of the classes of gwclosed (resp. gwopen, sgwclosed) sets in a weak structure space (X,w), the notions of ij-generalized wclosed (resp. ij-generalized wopen, ij-strongly generalized wclosed) sets in a biweak structure space (X,w1,w2) are introduced. In terms of these concepts, new forms of continuous function between biweak spaces are constructed. Additionally, the concepts of ij-wnormal, ij-gwnormal, ij-$wT_{\frac {1}{2}}$, and ij-$w^{\sigma }T_{\frac {1}{2}}$ spaces are studied and several characterizations of them are acquired.

中文翻译：

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双弱结构空间中的广义封闭集

作为在弱结构空间 (X,w) 中 gwclosed (resp. gwopen, sgwclosed) 集合的类的推广，ij-广义 wclosed (resp. ij-generalized wopen, ij-strongly generalized wclosed) 的概念设置在引入了双弱结构空间 (X,w1,w2)。根据这些概念，构建了双弱空间之间的新形式的连续函数。此外，ij-wnormal、ij-gwnormal、ij-$wT_{\frac {1}{2}}$ 和 ij-$w^{\sigma }T_{\frac {1}{2}} 的概念$ 空间被研究并获得了它们的几个特征。