Browse > Article
http://dx.doi.org/10.5391/JKIIS.2002.12.5.487

Subcategories of Fuzzy Limit Tower Spaces  

Lee, Hyei-Kyung (Department of Mathematics, Yonsei University)
Publication Information
Journal of the Korean Institute of Intelligent Systems / v.12, no.5, 2002 , pp. 487-490 More about this Journal
Abstract
In this paper, we introduce the notion of fuzzy pseudotopological tower and fuzzy pretopological tower And we show that the category FPsTR of fuzzy pseudotopological tower spaces and the category FPrTR of fuzzy pretopological tower spaces are bireflective subcategoies of the category FLTR of fuzzy limit tower spaces.
Keywords
fuzzy limit tower; fuzzy pseudotopological tower; fuzzy pretopological tower;
Citations & Related Records
연도 인용수 순위
  • Reference
1 C. L. Chang, Fuzzy topological spaces, J. Math Anal. Appl. 24 (1968), 182-190.   DOI
2 R. Lowen, Convergence in fuzzy topological spaces, General Topology and its Applications 10 (147-160).   DOI   ScienceOn
3 K. C. Min, Fuzzy limit spaces, Fuzzy Sets and System 32 (1989) 343-357.   DOI   ScienceOn
4 H. K. Lee, Structures of fuzzy convergence spaces, Thesis Yonsei University Seoul (2000).
5 G. D. Richardson and D. C. Kent, Probabilistic convergence spaces, J. Austrl. Math. Soc (Series A) .61 (1996), 400-420.   DOI
6 J. Adamek, H. Herrlich and G. E. Strecker, Abstract and Concrete Categories, John Wiley and Sons, Inc. 1990.
7 P. Brock and D. C. Kent, Approach spaces, limit fuzzy control. tower spaces and probabilistic convergence spaces, Applied Categorical Structures 5 (1997), 99-110.   DOI   ScienceOn
8 L. C. Florescu, Probabilistic convergence structures, Aequatioines Math. 38 (1989), 123-145.   DOI
9 R. Lowen, Fuzzy topological spaces and fuzzy compactness, J. Math Anal. and Appl. 56 (1976) 621-633.   DOI
10 H. Herrich, Topological structures, Mathematical Centre Tracts 52 (1974) 56-122.
11 G. Preuss, Theory of topological structures, Kluwer Academic Publishers, 1987.
12 E. Lowen, Function classes of Cauchy continuous maps, Pure and applied mathematics 123 Macel Dekker, Inc. (New York, 1989).