Affiliations: [a] School of Science, Xi’an Polytechnic University, Xi’an, P.R. China | [b] Department of Mathematics, Faculty of Science Assiut University, Assiut, Egypt
| [c] Department of Mathematics, Faculty of Science, Sohag University, Sohag, Egypt
| [d] School of Mathematics and Statistics, Qinghai Normal University, Xining, P. R. China
Correspondence:
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Corresponding author. Hu Zhao, School of Science, Xi–an Polytechnic University, Xi–an, 710048, P.R. China. E-mail: [email protected].
Note: [1] The work is partly supported by the National Natural Science Foundation of China (Grant Nos. 11771263, 11671007), the Applied Basic Research Program Funded by Qinghai Province (Program No.2019-ZJ-7078), the Scientific Research Program Funded by Shaanxi Provincial Education Department (Program No.18JK0360), and the Doctoral Scientific Research Foundation of Xi’an Polytechnic University (Grant No. BS1426).
Abstract: 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-LFSi spaces where i = {0, 1, 2, 3, 4}, and obtain various properties. In particular, we discuss the invariance of these separation properties under subspace and product.
