L-fuzzy i-Covers and their Lagois Connectionwith L-fuzzy Tolerances of an L-fuzzy Set

Abstract

In this paper, we introduce the notion of L-fuzzy i-cover of an L-fuzzy set and show that the set of all L-fuzzy i-covers is a poset. Further we aim to establish a Lagois connection between the poset of all L-fuzzy i-covers of an L-fuzzy set and the poset of all L-fuzzy tolerances on the same L-fuzzy set.