References
- Asadzadeh, M. S., Rezaei, G. R., Jamalzadeh, J. (2020). Topological characterization of filter topological MV-algebras. Fuzzy Sets Syst. 382:110–119. DOI: 10.1016/j.fss.2019.04.014..
- Bennett, M. K., Foulis, D. J. (1997). Interval and scale effect algebras. Adv. Appl. Math. 19:200–215. DOI: 10.1006/aama.1997.0535..
- Buhagiar, D., Chetcuti, E., Dvurečenskij, A. (2011). Loomis-Sikorski theorem and Stone duality for effect algebras with internal state. Fuzzy Sets Syst. 172:71–86. DOI: 10.1016/j.fss.2011.01.004..
- Birkhoff, G. (1967). Lattice Theory. AMS Colloquium Publications, Vol. XXV. Providence, RI: AMS.
- Boltyanskii, V. G., Soltan, P. S. (1978). Combinatorial geometry and convexity class. Russ. Math. Surv. 33:1–45. DOI: 10.1070/RM1978v033n01ABEH003730..
- Boyd, S. P., Vandenberghe, L. (2004). Convex Optimization. Cambridge: Cambridge University Press.
- Chajda, I., Länger, H. (2020). Residuation in lattice effect algebras. Fuzzy Sets Syst. 397:168–178. DOI: 10.1016/j.fss.2019.11.008..
- Chang, C. (1959). Algebraic analysis of many-valued logics. Trans. Am. Math. Soc. 88:467–490. DOI: 10.1090/S0002-9947-1958-0094302-9..
- Chovanec, F., Kôpka, F. (1997). Boolean D-posets. Tatra. Mt. Math. Publ.
- Davey, B. A., Priestley, H. A. (2002). Introduction to Lattice and Order. Cambridge: Cambridge University Press.
- Dvurečenskij, A., Pulmannová, S. (2000). New Trends in Quantum Structures. Dordrecht: Springer.
- Foulis, D., Bennett, M. K. (1994). Effect algebras and unsharp quantum logice. Found. Phys. 24:1331–1352. DOI: 10.1007/BF02283036..
- Gierz, G., Hofmann, K. H., Keimel, K., Lawson, J. D., Mislove, M., and Scott, D. S. (2003). Continuous Lattices and Domain. Cambridge: Cambridge University Press.
- Giuntini, R., Pulmannová, S. (2000). Ideals and congruences in effect algebras and qmv-algebras. Commun. Algebra 28(3):1567–1592. DOI: 10.1080/00927870008826914..
- Hoo, C. S. (1997). Topological MV-algebras. Topol. Appl. 81:103–121. DOI: 10.1016/S0166-8641(97)00027-8..
- Jenča, G. (2020). Pseudo effect algebras are algebras over bounded posets. Fuzzy Sets Syst. 397:179–185. DOI: 10.1016/j.fss.2019.07.003..
- Ji, W. (2021). Fuzzy implications in lattice effect algebras. Fuzzy Sets Syst. 405:40–46. DOI: 10.1016/j.fss.2020.04.021..
- Lei, Q., Wu, J. D., Li, R. L. (2009). Interval topology of lattice effect algebras. Appl. Math. Lett. 22:1003–1006. DOI: 10.1016/j.aml.2009.01.008..
- Luan, C., Yang, Y. C. (2017). Filter topologies on MV-algebras. Soft Comput. 21:2531–2535. DOI: 10.1007/s00500-017-2574-y..
- Luan, W., Weber, H., Yang, Y. C. (2021). Filter topologies and topological MV-algebras. Fuzzy Sets Syst. 406:11–21. DOI: 10.1016/j.fss.2020.08.017..
- Ma, Z. H., Wu, J. D., Lu, S. J. (2004). Ideal topology on effect algebras. Int. J. Theor. Phys. 43:2319–2323. DOI: 10.1023/B:IJTP.0000049030.33542.87..
- Najafi, M., Rezaei, G. R., Kouhestani, N. (2017). On (para, quasi) topological MV-algebras. Fuzzy Sets Syst. 313:93–104. DOI: 10.1016/j.fss.2016.04.012..
- Qu, W. B., Wu, J. D., Yang, C. W. (2004). Continuity of effect algebra operations in the interval topology. Int. J. Theor. Phys. 43:2311–2317. DOI: 10.1023/B:IJTP.0000049029.39929.55..
- Soltan, V. P. (1983). D-convexity in graphs. Sov. Math. Dokl. 28(2):419–421.
- Van de Vel, M. (1984). Binary convexities and distributive lattices. Proc. Lond. Math. Soc. 48:1–33. DOI: 10.1112/plms/s3-48.1.1..
- Van de Vel, M. (1993). Theory of Convex Structures. New York: North Holland
- Wang, K., Shi, F.-G. (2018). M-fuzzifying topological convex spaces. Iran. J. Fuzzy Syst. 15:159–174. DOI: 10.22111/IJFS.2018.4373..
- Weber, H. (2012). On topological MV-algebras and topological ℓ-groups. Topol. Appl. 159:3392–3395. DOI: 10.1016/j.topol.2012.08.004..
- Wu, Y. L., Wang, J., Yang, Y. C. (2019). Lattice-ordered effect algebras and L-algebras. Fuzzy Sets Syst. 369:103–113. DOI: 10.1016/j.fss.2018.08.013..
- Yu, Z. J., Wu, J. D., Cho, M. H. (2008). Operation continuity of effect algebras. Comput. Math. Appl. 56:2054–2057. DOI: 10.1016/j.camwa.2008.03.034..
- Yue, Y. L., Yao, W., Ho, W. K. (2022). Applications of Scott-closed sets in convex structures. Topol. Appl. 314:108093. DOI: 10.1016/j.topol.2022.108093..