Browse > Article
http://dx.doi.org/10.7468/jksmeb.2014.21.4.247

FUZZY RELATIONS AND ALEXANDROV L-TOPOLOGIES  

Ko, Jung Mi (Department of Mathematics, Gangneung-Wonju National)
Kim, Yong Chan (Department of Mathematics, Gangneung-Wonju National)
Publication Information
The Pure and Applied Mathematics / v.21, no.4, 2014 , pp. 247-256 More about this Journal
Abstract
In this paper, we investigate the relationships between fuzzy relations and Alexandrov L-topologies in complete residuated lattices. Moreover, we give their examples.
Keywords
complete residuated lattices; fuzzy relations; fuzzy preorder; Alexandrov L-topologies;
Citations & Related Records
연도 인용수 순위
  • Reference
1 Y.C. Kim: Alexandrov L-topologies and L-join meet approximation operators. International Journal of Pure and Applied Mathematics 91 (2014), no. 1, 113-129.
2 H. Lai & D. Zhang: Fuzzy preorder and fuzzy topology. Fuzzy Sets and Systems 157 (2006), 1865-1885.   DOI   ScienceOn
3 H. Lai & D. Zhang: Concept lattices of fuzzy contexts: Formal concept analysis vs. rough set theory. Int. J. Approx. Reasoning 50 (2009), 695-707.   DOI   ScienceOn
4 Z. Pawlak: Rough sets. Int. J. Comput. Inf. Sci. 11 (1982), 341-356.   DOI   ScienceOn
5 Z. Pawlak: Rough probability. Bull. Pol. Acad. Sci. Math. 32 (1984), 607-615.
6 A.M. Radzikowska & E.E. Kerre: A comparative study of fuzy rough sets. Fuzzy Sets and Systems 126 (2002), 137-155.   DOI   ScienceOn
7 Y.H. She & G.J. Wang: An axiomatic approach of fuzzy rough sets based on residuated lattices. Computers and Mathematics with Applications 58 (2009), 189-201.   DOI   ScienceOn
8 Zhen Ming Ma & Bao Qing Hu: Topological and lattice structures of L-fuzzy rough set determined by lower and upper sets. Information Sciences 218 (2013), 194-204.   DOI   ScienceOn
9 R. Belohlavek: Fuzzy Relational Systems. Kluwer Academic Publishers, New York, (2002).
10 B. De Meyer & H.De Meyer: On the existence and construction of T-transitive closures. Information Sciences 152 (2003), 167-179.   DOI
11 P. Hajek: Metamathematices of Fuzzy Logic. Kluwer Academic Publishers, Dordrecht (1998).
12 Fang Jinming: I-fuzzy Alexandrov topologies and specialization orders. Fuzzy Sets and Systems 158 (2007), 2359-2374.   DOI
13 Y.C. Kim: Alexandrov L-topologies. International Journal of Pure and Applied Mathematics 93 (2014), no. 2, 165-179.