Stratified lattice-valued neighborhood tower group

References

• J. Adámek, H. Herrlich, and G.E. Strecker, Abstract and Concrete Categories, Wiley, New York, 1990.
   Google Scholar
• T.M.G. Ahsanullah, On fuzzy neighborhood groups, Journal of Mathematical Analysis and Applications 130 (1988), 237–251. doi: 10.1016/0022-247X(88)90397-6
   Web of Science ®Google Scholar
• T.M.G. Ahsanullah, Lattice-Valued Convergence Ring and Its Uniform Convergence Structure, Quaestiones Mathematicae 33 (2010), 21–51. doi: 10.2989/16073601003718248
   Web of Science ®Google Scholar
• T.M.G. Ahsanullah and J. Al-Mufarrij, Framed-valued stratified generalized convergence groups, Quaestiones Mathematicae 31 (2008), 279–302. doi: 10.2989/QM.2008.31.3.8.550
   Web of Science ®Google Scholar
• T.M.G. Ahsanullah, D. Gauld, J. Al-Mufarrij, and F. Al-Thukair, Enriched lattice-valued convergence groups, Fuzzy Sets and Systems 238 (2014), 71–88. doi: 10.1016/j.fss.2013.08.010
   Web of Science ®Google Scholar
• T.M.G. Ahsanullah, D. Gauld, J. Al-Mufarrij, and F. Al-Thukair, Enriched Lattice-Valued Topological Groups, New Mathematics and Natural Computation 1 (2014), 27–53. doi: 10.1142/S1793005714500021
   Google Scholar
• T.M.G. Ahsanullah and G. Jäger, Stratified LM N -convergence tower groups and their stratified LM N -uniform convergence tower structures, Fuzzy Sets and Systems, doi.org/10.1016/j.fss.2017.01.011
   Web of Science ®Google Scholar
• J. Al-Mufarrij and T.M.G. Ahsanullah, On the category of fixed basis frame valued topological groups, Fuzzy Sets and Systems 159 (2008), 2529–2551. doi: 10.1016/j.fss.2007.12.011
   Web of Science ®Google Scholar
• A. Arhangel’skii and M. Tkachenko, Topological Groups and Related Structures, Atlantis Press World Scientific, Paris, 2008.
   Google Scholar
• F. Bayoumi, On initial and final L-topological groups, Fuzzy Sets and Systems 156 (2005), 43–54. doi: 10.1016/j.fss.2005.05.022
   Web of Science ®Google Scholar
• F. Bayoumi, Global L-neighborhood groups, Fuzzy Sets and Systems 159 (2008), 605–619. doi: 10.1016/j.fss.2007.10.006
   Web of Science ®Google Scholar
• R. Bĕlohlávek, Fuzzy Relational Systems: Foundations and Principles, Kluwer Academic Publishers, New York, 2002.
   Google Scholar
• P. Brock and D.C. Kent, Approach Spaces, Limit Tower Spaces, and Probabilistic Convergence Spaces, Applied Categorical Structures 5 (1997), 99–110. doi: 10.1023/A:1008633124960
   Web of Science ®Google Scholar
• J.M. Fang, I-FTOP is isomorphic to I-FQN and I-AITOP, Fuzzy Sets and Systems 147 (2004), 317–325. doi: 10.1016/j.fss.2003.09.004
   Web of Science ®Google Scholar
• J.M. Fang, Categories isomorphic to L-FTOP, Fuzzy Sets and Systems 157 (2006), 820–831. doi: 10.1016/j.fss.2005.12.002
   Web of Science ®Google Scholar
• J.X. Fang, On fuzzy topological groups, Chinese Science Bulletin 29 (1984), 727–730.
   Google Scholar
• P.V. Flores, R.N. Mohapatra, and G. Richardson, Lattice-valued spaces: Fuzzy convergence, Fuzzy Sets and Systems 157 (2006), 2706–2714. doi: 10.1016/j.fss.2006.03.023
   Web of Science ®Google Scholar
• D.H. Foster, Fuzzy topological groups, Journal of Mathematical Analysis and Ap- plications 67 (1979), 549–564. doi: 10.1016/0022-247X(79)90043-X
   Web of Science ®Google Scholar
• M. Ganster, D.N. Georgiou, and S. Jafari, On fuzzy topological groups and fuzzy continuous functions, Hacettepe Journal of Mathematics and Statistics 34 (2005), 35–43.
   Google Scholar
• P. Hájek, Metamathematics of Fuzzy Logic, Kluwer Academic Publishers, Dordrecht, 1998.
   Google Scholar
• U. Höhle, G-fuzzy topologies on algebraic structures, Journal of Mathematical Analysis and Applications 108 (1985), 113–150. doi: 10.1016/0022-247X(85)90013-7
   Web of Science ®Google Scholar
• U. Höhle and S.E. Rodabaugh, Mathematics of Fuzzy Sets: Logic, Topology and Measure Theory, The Handbooks of Fuzzy Sets Series, Kluwer Academic Publishers, Boston/Dordrecht/London, 1999.
   Google Scholar
• G. Jäger, A category of L-fuzzy convergence spaces, Quaestiones Mathematicae 24 (2001), 501–517. doi: 10.1080/16073606.2001.9639237
   Google Scholar
• G. Jäger, Fischer’s diagonal condition for lattice-valued convergence spaces, Quaestiones Mathematicae 31 (2008), 11–25. doi: 10.2989/QM.2008.31.1.2.407
   Web of Science ®Google Scholar
• G. Jäger, Stratified LM N -convergence tower spaces, Fuzzy Sets and Sys- tems 282 (2016), 62–73. doi: 10.1016/j.fss.2015.03.016
   Web of Science ®Google Scholar
• G. Jäger and W. Yao, Completely prime L-filters, irreducible L-filters and sobriety, Quaestiones Mathematicae 39 (2016), 831–844. doi: 10.2989/16073606.2016.1173123
   Web of Science ®Google Scholar
• Q. Jin and L.Q. Li, One-axiom characterizations on lattice-valued closure (interior) operators, Journal of Intelligent and Fuzzy Systems 31 (2016), 1679–1688. doi: 10.3233/JIFS-151910
   Web of Science ®Google Scholar
• A.K. Katsaras, Linear fuzzy neighborhood spaces, Fuzzy Sets and Systems 16 (1985), 143–154. doi: 10.1016/S0165-0114(85)80003-8
   Web of Science ®Google Scholar
• L.Q. Li and Q. Jin, On adjunctions between Lim, SL-Top, and SL-Lim, Fuzzy Sets and Systems 182 (2011), 66–78. doi: 10.1016/j.fss.2010.10.002
   Web of Science ®Google Scholar
• L.Q. Li and Q. Jin, On stratified L-convergence spaces: Pretopological axioms and diagonal axioms, Fuzzy Sets and Systems 204 (2012), 40–52. doi: 10.1016/j.fss.2012.02.012
   Web of Science ®Google Scholar
• L.Q. Li, Q. Jin, K. Hu, and F.F. Zhao, The axiomatic characterizations on L-fuzzy covering-based approximation operators, International Journal of General Systems 46(4) (2017), 332–353. doi: 10.1080/03081079.2017.1308360
   Web of Science ®Google Scholar
• L.Q. Li and D.X. Zhang, On the relationship between limit spaces, many valued topological spaces, and many valued preorders, Fuzzy Sets and Systems 160 (2009), 1204–1217. doi: 10.1016/j.fss.2008.08.007
   Web of Science ®Google Scholar
• Q.G. Li, The m-convergence theory in fuzzy topological spaces, Quaestiones Mathematicae 28 (2009), 123–135. doi: 10.2989/16073600509486120
   Google Scholar
• Y. Liu and M. Luo, Fuzzy Topology, World Scientific Publishing, Singapore, 1997.
   Google Scholar
• R. Lowen, Fuzzy topological spaces and fuzzy compactness, J. Math. Anal. Appl. 56 (1976), 621–633. doi: 10.1016/0022-247X(76)90029-9
   Web of Science ®Google Scholar
• J.L. Ma and C.H. Yu, Fuzzy topological groups, Fuzzy Sets and Systems 12 (1984), 289–299. doi: 10.1016/0165-0114(84)90075-7
   Web of Science ®Google Scholar
• V.L.G. Nayagam, D. Gauld, G. Venkateshwari, and G. Sivaraman, Strong fuzzy topological groups, New Zealand Journal of Mathematics 38 (2008), 187–196.
   Google Scholar
• B. Pang and F.G. Shi, Degrees of compactness in (L, M )-fuzzy convergence spaces, Fuzzy Sets and Systems 251 (2014), 1–22. doi: 10.1016/j.fss.2014.05.002
   Web of Science ®Google Scholar
• G. Preuss, Fundations of Topology, Kluwer Academic Publishers, London, 2002.
   Google Scholar
• F.G. Shi, L-fuzzy interiors and L-fuzzy closures, Fuzzy Sets and Syststems 160 (2009), 1218–1232. doi: 10.1016/j.fss.2008.09.002
   Google Scholar
• G.J. Wang, Theory of L-fuzzy topological spaces, Shanxi normal University press, Xi’an, 1988.
   Google Scholar
• C.H. Yan and S.Z. Guo, I-fuzzy topological groups, Fuzzy Sets and Systems 161 (2010), 2166–2180. doi: 10.1016/j.fss.2010.02.005
   Web of Science ®Google Scholar
• X.F. Yang and S.G. Li, Net-theoretical convergence in (L, M )-fuzzy cotopologi- calspaces, Fuzzy Sets and Systems 204 (2012), 53–65. doi: 10.1016/j.fss.2012.01.002
   Web of Science ®Google Scholar
• W. Yao, Moore-Smith convergence in (L, M )-fuzzy topology, Fuzzy Sets and Systems 190 (2012), 47–62. doi: 10.1016/j.fss.2011.08.009
   Web of Science ®Google Scholar
• C.H. Yu and J.L. Ma, L-fuzzy topological groups, Fuzzy Sets and Systems 44 (1991), 83–91. doi: 10.1016/0165-0114(91)90035-O
   Web of Science ®Google Scholar
• D.X. Zhang, Tower extension of topological constructs, Commentationes Mathematicae Universitatis Carolinae 41 (2000), 41–51.
   Google Scholar
• D.X. Zhang, An enriched category approach to many valued topology, Fuzzy Sets and Systems 158 (2007), 349–366. doi: 10.1016/j.fss.2006.10.001
   Web of Science ®Google Scholar
• H.P. Zhang and J.X. Fang, I(L)-topological groups andits level L-topological groups, Fuzzy Sets and Systems 158 (2007), 1504–1510. doi: 10.1016/j.fss.2007.02.005
   Web of Science ®Google Scholar
• H. Zhao, S.G. Li, and G.X. Chen, (L, M )-fuzzy topological groups, Journal of Intelligent and Fuzzy Systems 26 (2014), 1517–1526.
   Web of Science ®Google Scholar