On Fuzzy Quasi Filter Topological R-Module Spaces
DOI:
https://doi.org/10.62383/bilangan.v3i1.408Keywords:
fuzzy quasi Filter, fuzzy topological R-Modu, fuzzy nbhd quasi Filter, fuzzy open quasi Filter set, fuzzy closed quasi Filter setAbstract
This article deals with a new concept in the subject of fuzzy topological R-Module spaces is said fuzzy quasi Filter via fuzzy open quasi Filter sets and fuzzy closed quasi Filter sets and also present definitions for the Mixed fuzzy quasi Filter with this scope work and we briefly shows some features of fuzzy functions.
Downloads
References
Zhang, X. W. and J. (2011). The topoogy on the set of all prime fuzzy quasi Filter s in MTL algebras. Ann. Fuzzy Sets Fuzzy Log. Fuzzy Syst, 1, 215– 229.
Amroune, A., & Aissa, B. (2018). Aggregating fuzzy binary relations and fuzzy filters. Discussiones Mathematicae-General Algebra and Applications, 38(2), 273–296.
Chang, C.-L. (1968). Fuzzy topological spaces. Journal of Mathematical Analysis and Applications, 24(1), 182–190.
Das, N. R., & Das, P. (2000). Neighborhood systems in fuzzy topological group. Fuzzy Sets and Systems, 116(3), 401–408.
Eswarlal, Y. B. and T. (2015). Fuzzy L-quasi Filter s and L-ideals. Int. Electron. J. Pure Appl. Math., 9, 105–113.
Foster, D. H. (1979). Fuzzy topological groups. Journal of Mathematical Analysis and Applications, 67(2), 549–564.
Güloglu, M. (2010). A note on I-fuzzy quasi Filter s. Adv. Fuzzy Sets Syst, 5, 51–60.
Ibedou, I., & Abbas, S. E. (2018). Fuzzy soft filter convergence. Filomat, 32(9), 3325–3336.
Jun, Y. B., & Ahn, S. S. (2017). On hesitant fuzzy filters in BE-algebras. J. Comput. Anal. Appl, 22, 346–358.
Jun, Y. B., Xu, Y., & Ma, J. (2007). Redefined fuzzy implicative filters. Information Sciences, 177(6), 1422–1429.
Ma, X.-F. Y. and S. (2015). L-fuzzy topoogical quasi Filter convergence spaces. (Chinese) J. Northwest Univ. Nat. Sci, 45, 365–368.
Melgat, B. M. (2024a). Fuzzy Nbhd System in Fuzzy Top-R-Module. International Academic Journal of Science and Engineering, 11(1 SE-Articles), 15–18. https://doi.org/10.9756/IAJSE/V11I1/IAJSE1103
Melgat, B. M. (2024b). On Fuzzy Filter Topological Group Spaces. CENTRAL ASIAN JOURNAL OF MATHEMATICAL THEORY AND COMPUTER SCIENCES, 5(4 SE-Articles). https://cajmtcs.centralasianstudies.org/index.php/CAJMTCS/article/view/675
S.K.Samanta, K. K. M. (2011). Convergence class of generalized fuzzy quasi Filters. J. Fuzzy for MTL-Algebras”. Fuzzy Sets and Systems, 178, 38–53.
Zadeh, L. A. (1965). Fuzzy sets. Information and Control. https://doi.org/http://dx.doi.org/10.1016/S0019-9958(65)90241-X
Zhan, J., Jun, Y. B., & Kim, H. S. (2014). Some types of falling fuzzy filters of BL-algebras and its applications. Journal of Intelligent & Fuzzy Systems, 26(4), 1675–1685.
Zhan, J., Pei, D., & Jun, Y. B. (2013). Falling fuzzy (implicative) filters of R 0-algebras and its applications. Journal of Intelligent & Fuzzy Systems, 24(3), 611–618.
Zhang, X., Zhou, H., & Mao, X. (2014). IMTL (MV)-filters and fuzzy IMTL (MV)-filters of residuated lattices. Journal of Intelligent & Fuzzy Systems, 26(2), 589–596.
Downloads
Published
How to Cite
Issue
Section
License
Copyright (c) 2025 Bilangan : Jurnal Ilmiah Matematika, Kebumian dan Angkasa

This work is licensed under a Creative Commons Attribution-ShareAlike 4.0 International License.