References
- Berger, M. (1990). Convexity. Amer. Math. Monthly 97(8):650–678.
- Chang, C. C. (1958). Algebraic analysis of many-valued logic. Trans. Amer. Math. Soc. 88:467–490.
- Cignoli, R., D’Ottaviano, I. M., Mundici, D. (2000). Algebraic Foundations of Many-Valued Reasoning. Trends in Logic, Vol. 7. Dordrecht: Kluwer Academic Publishers.
- He, P. F., Yang, J., Wang, J. T. (2021). Solutions to two open problems in topological residuated lattices. Fuzzy Sets Syst. 403:65–73.
- Hoo, C. S. (1997). Topological MV-algebras. Topol. Appl. 81(2):103–121.
- Lassak, M. (1977). On metric B-convexity for which diameters of any set and its hull are equal. Bull. Acad. Pol. Sci. 25:969–975.
- Luan, W., Weber, H., Yang, Y. C. (2021). Filter topologies and topological MV-algebras. Fuzzy Sets Syst. 406:11–21.
- Luan, W., Zhang, X. T., Yang, Y. C. (2021). Topological characterization of semisimple MV-algebras. Fuzzy Sets Syst. 406:1–10.
- Mundici, D. (2011). Advanced Łukasiewicz Calculus and MV-Algebras. Trends in Logic, Vol. 35, New York: Springer.
- Najafi, M., Rezaei, G. R., Kouhestani, N. (2017). On (para, quasi) topological MV-algebras. Fuzzy Sets Syst. 313:93–104.
- Pang, B., Xiu, Z.-Y. (2018). Lattice-valued interval operators and its induced lattice-valued convex structures. IEEE Trans. Fuzzy Syst. 26:1525–1534.
- Pang, B., Shi, F.-G. (2019). Fuzzy counterparts of hull operators and interval operators in the framework of L-convex spaces. Fuzzy Sets Syst. 369:20–39.
- Shen, C., Shi, F.-G. (2020). Characterizations of L-convex spaces via domain theory. Fuzzy Sets Syst. 380:44–63.
- Soltan, V. P. (1983). d-convexity in graphs. Soviet Math. Dokl. 28:419–421.
- Van De Vel, M. (1984). Binary convexities and distributive lattices. Proc. London Math. Soc. 48:1–33.
- Van De Vel, M. (1993). Theory of Convex Structures. Amsterdam: North-Holland.
- Varlet, J. C. (1975). Remarks on distributive lattices. Bull. Acad. Pol. Sci. 23:1143–1147.
- Welsh, D. J. A. (1976). Matroid Theory. London: Academic Press.
- Weber, H. (2012). On topological MV-algebras and topological l-groups. Topol. Appl. 159:3392–3395.
- Xiu, Z.-Y., Li, L., Zhu, Y. (2020). A degree approach to special mappings between (L, M)-fuzzy convex spaces. J. Nonlinear and Convex Anal. 21:2625–2635.
- Yang, J., Zhang, X. W. (2019). Some weaker versions of topological residuated lattices. Fuzzy Sets Syst. 373:62–77.
- Yang, J., Xin, X. L., He, P. F. (2018). Notes on topological BL-algebras. Fuzzy Sets Syst. 350:33–40.
- Yue, Y.l., Yao, W., Ho, W. K. (2022). Applications of Scott-closed sets in convex structures. Topol. Appl. 314:108093.
- Zhang, L., Pang, B. (2020). Strong L-concave structures and L-convergence structures. J. Nonlinear Convex Anal. 21:2759–2769.
- Zhou, X.-W., Shi, F-G. (2019). Some separation axioms in L-convex spaces. J. Intell. Fuzzy Syst. 37:8053–8062.