Abstract
In this paper, the notions of (concave) (L, M)-fuzzy interior operators are introduced. It is proved that the category of (L, M)-fuzzy concave spaces and the category of concave (L, M)-fuzzy interior spaces is isomorphic, and there is a Galois correspondence between the category of (L, M)-fuzzy concave spaces and the category of (L, M)-fuzzy interior spaces. In addition, (L, M)-fuzzy hull operators proposed by Sayed et al. (Filomat 33(13):4151–4163, 2019) are further studied. Particularly, some results in Sayed et al. (2019) are corrected.
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Authors would like to express their sincere thanks to the referees and the editors for giving valuable comments which helped to improve the presentation of this paper.
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Communicated by Marcos Eduardo Valle.
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The work is partly supported by the National Natural Science Foundation of China (Grant nos. 12171386, 11771263), and the Scientific Research Program Funded by Shaanxi Provincial Education Department (Program no. 18JK0360).
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Zhao, H., Hu, X., Sayed, O.R. et al. Concave (L, M)-fuzzy interior operators and (L, M)-fuzzy hull operators. Comp. Appl. Math. 40, 301 (2021). https://doi.org/10.1007/s40314-021-01690-5
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DOI: https://doi.org/10.1007/s40314-021-01690-5
Keywords
- Concave (L
- M)-fuzzy interior operator
- (L
- M)-fuzzy hull operator
- (L
- M)-fuzzy convex structure
- (L
- M)-fuzzy convexity preserving function
- Galois correspondence