L−fuzzy Weakly 2-AFs in an ADL

L−fuzzy weakly 2A−filters

Abstract

The concept of L-fuzzy weakly 2-absorbing filters in an Almost Distributive Lattice (ADL) has been introduced, extending the idea of L-fuzzy weakly prime filters in an ADL. In essence, we illustrate the connections between L-fuzzy prime filters and L-fuzzy weakly prime filters, L-fuzzy weakly prime filters and L-fuzzy weakly 2-absorbing filters, and L-fuzzy 2-absorbing filters and L-fuzzy weakly 2-absorbing filters. Additionally, we show that the direct product of any two L-fuzzy weakly prime filters yields an L-fuzzy weakly 2-absorbing filter.