The aim of this paper is to introduce a new notion of a pairwise generalized closed set called a pairwise $\theta$-generalized closed set and study its fundamental basic properties. Furthermore, we introduced the concept of pairwise generalized $\Lambda$-sets which is extended to pairwise $\theta$-generalized $\Lambda$-sets. Also we study some of their properties by using $ij$-$\theta$-closure operator.