Research ArticleOpen AccessGoogle Scholar indexed
Ideal Convergence in Generalized Topological Molecular Lattices
Department of Mathematics, Faculty of Science at Qena, South Valley University, Qena, Egypt
Department of Mathematics, College of Science, King Faisal University, Al-Hasa, Kingdom of Saudi Arabia
- 1 Department of Mathematics, Faculty of Science at Qena, South Valley University, Qena, Egypt
- 2 Department of Mathematics, College of Science, King Faisal University, Al-Hasa, Kingdom of Saudi Arabia
Advances in Pure Mathematics·Volume 05 (2015)·Pages 653–659·Published 7 September 2015·DOI10.4236/apm.2015.511059
Copy link · social · email
Abstract
The convergence theory of ideals in generalized topological molecular lattices is studied. Some properties of this kind of convergence are investigated. Finally, the relations between convergence theories of both molecular nets and ideals in GTMLs are discussed together with the GT 2 separation axiom.
KeywordsGeneralized Topological Molecular LatticeContinuous GOHConvergence of Molecular NetsConvergence of Ideals
- Wang, G. -J. (1992) Theory of Topological Molecular Lattices. Fuzzy Sets and Systems, 47, 351-376. http://dx.doi.org/10.1016/0165-0114(92)90301-J
- Chen, S.-L. and Wu, J.-R. (2000) SR-Convergence Theory in Fuzzy Lattices. Information Sciences, 125, 233-247. http://dx.doi.org/10.1016/S0020-0255(99)00058-4
- Chen, Y. (1996) Convergence in Topological Molecular Lattices. Fuzzy Sets and Systems, 84, 97-102. http://dx.doi.org/10.1016/0165-0114(95)00224-3
- Bai, S.-Z. (1997) Q-Convergence of Nets and Weak Separation Axioms in Fuzzy Lattices. Fuzzy Sets and Systems, 88, 379-386. http://dx.doi.org/10.1016/S0165-0114(96)00085-1
- Bai, S.-Z. (1997) Q-Convergence of Ideals in Fuzzy Lattices and Its Applications. Fuzzy Sets and Systems, 92, 357-363. http://dx.doi.org/10.1016/S0165-0114(96)00174-1
- Liu, Y.-M. and Luo, M.-K. (1997) Fuzzy Topology. World Scientific, Singapore City.
- Pu, P.-M. and Liu, Y.-M. (1980) Fuzzy Topology. I. Neighborhood Structure of a Fuzzy Point and Moore-Smith Convergence. Journal of Mathematical Analysis and Applications, 76, 571-599. http://dx.doi.org/10.1016/0022-247X(80)90048-7
- El-Saady, K. and Al-Nabbat, F. (2015) Generalized Topological Molecular Lattices. Advances in Pure Mathematics, 5, 552-559. http://dx.doi.org/10.4236/apm.2015.59051
- Yang, Z.-Q. (1986) Ideals in Topological Molecular Lattices. Acta Mathematica Sinica, 29, 276-279.