The notion of a pseudo cluster tilting subcategory in an extriangulated category is defined in this article. We prove that the quotient category Formula: see text, obtained by factoring an extriangulated category Formula: see text by a pseudo cluster tilting subcategory Formula: see text, is a semi-abelian category. Furthermore, we also show that the quotient category Formula: see text is an abelian category if and only if certain self-orthogonal conditions are satisfied. As an application, these results generalize the work of Xu and Zheng in the exact category.
He et al. (Fri,) studied this question.