Residuated implications derived from quasi-overlap functions on lattices

Recently, Paiva et al. generalized the notion of overlap functions in context lattices and introduced a weaker definition, called quasi-overlap, that originates from removal continuity condition. In this paper, we introduce concept residuated implications related to quasi-overlap on prove some properties. We also show class fulfill residuation principle is same continuous according Scott topology lattices. densely ordered posets are used generalize classification theorem for Conjugated quasi-overlaps considered.