Corrigendum to ”On (L,M)-fuzzy convex structures”

Abstract

In this paper, we point out that the proof of Theorem 2.4(5), Proposition 2.6(1) and Proposition 2.8(1) in the paper titled ?On (L,M)-fuzzy convex structures? (Filomat 33(13): 4151-4163, 2019) are not true in general. Then, we give three correct proofs of these results

Convex (L,M)-fuzzy remote neighborhood operators

“…Many scholars generalized convex structures to fuzzy context from different viewpoints. Generally speaking, there are three approaches to extensions of convex structures to the fuzzy context, they are called L-convex structures (see, for example, [5,9,10]), M -fuzzying convex structures (see, for example, [11,17]), and (L, M )-fuzzy convex structures (see, for example, [12,22,23,24]), respectively. Actually, both L-convex structures and M -fuzzifying convex structures can be regarded as special cases of (L, M )-fuzzy convex structures (see [12]).…”