Different from the separation axioms in the framework of (L, M)-fuzzy convex spaces defined by Liang et al. (2019). In this paper, we give some new investigations on separation axioms in (L, M)-fuzzy convex structures by L-fuzzy hull operators and r-L-fuzzy biconvex. We introduce the concepts of r-LFS_i spaces where  , and obtain various properties. In particular, we discuss the invariance of these separation properties under subspace and product.

DOI:10.3233/JIFS-200340

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