Abstract
The aim of this paper is to study weakly induced
Open AccessWeakly induced modifications of
Weakly induced modifications of I
Received10 Oct 2005
Revised08 May 2006
Accepted09 May 2006
Published07 Aug 2006
References
J. Adámek, H. Herrlich, and G. E. Strecker, Abstract and Concrete Categories, Pure and Applied Mathematics (New York), John Wiley & Sons, New York, 1990.
View at: Google Scholar | Zentralblatt MATH | MathSciNetC. L. Chang, “Fuzzy topological spaces,” Journal of Mathematical Analysis and Applications, vol. 24, no. 1, pp. 182–190, 1968.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetJ. Fang and Y. Yue, “Base and subbase in -fuzzy topological spaces,” Journal of Mathematical Research and Exposition, vol. 26, no. 1, pp. 89–95, 2006.
View at: Google Scholar | MathSciNetU. Höhle, “Upper semicontinuous fuzzy sets and applications,” Journal of Mathematical Analysis and Applications, vol. 78, no. 2, pp. 659–673, 1980.
View at: Google Scholar | Zentralblatt MATH | MathSciNetU. Höhle and A. P. Šostak, “Axiomatic foundations of fixed-basis fuzzy topology,” in Mathematics of Fuzzy Sets-Logic, Topology, and Measure Theory, U. Höhle and S. E. Rodabaugh, Eds., vol. 3 of Handb. Fuzzy Sets Ser., pp. 123–272, Kluwer Academic, Massachusetts, 1999, chapter 3.
View at: Google Scholar | Zentralblatt MATH | MathSciNetT. Kubiak, On fuzzy topologies, M.S. thesis, Adam Mickiewicz University, Poznan, 1985.
View at: Google ScholarT. Kubiak, “The topological modification of the -fuzzy unit interval,” in Applications of Category Theory to Fuzzy Subsets (Linz, 1989), S. E. Rodabaugh, E. P. Klement, and U. Höhle, Eds., vol. 14 of Theory Decis. Lib. Ser. B Math. Statist. Methods, pp. 275–305, Kluwer Academic, Dordrecht, 1992, chapter 11.
View at: Google Scholar | Zentralblatt MATH | MathSciNetY.-M. Liu and M.-K. Luo, Fuzzy Topology, vol. 9 of Advances in Fuzzy Systems—Applications and Theory, World Scientific, New Jersey, 1997.
View at: Google Scholar | Zentralblatt MATH | MathSciNetS. E. Rodabaugh, “Categorical foundations of variable-basis fuzzy topology,” in Mathematics of Fuzzy Sets-Logic, Topology, and Measure Theory, U. Höhle and S. E. Rodabaugh, Eds., vol. 3 of Handb. Fuzzy Sets Ser., pp. 273–388, Kluwer Academic, Massachusetts, 1999, chapter 4.
View at: Google Scholar | Zentralblatt MATH | MathSciNetS. E. Rodabaugh, “Powerset operator foundations for poslat fuzzy set theories and topologies,” in Mathematics of Fuzzy Sets-Logic, Topology, and Measure Theory, U. Höhle and S. E. Rodabaugh, Eds., vol. 3 of Handb. Fuzzy Sets Ser., pp. 91–116, Kluwer Academic, Massachusetts, 1999, chapter 2.
View at: Google Scholar | Zentralblatt MATH | MathSciNetA. P. Šostak, “On a fuzzy topological structure,” Rendiconti del Circolo Matematico di Palermo. Serie II. Supplemento, no. 11, pp. 89–103 (1987), 1985.
View at: Google Scholar | Zentralblatt MATH | MathSciNetM. W. Warner, “Fuzzy topology with respect to continuous lattices,” Fuzzy Sets and Systems, vol. 35, no. 1, pp. 85–91, 1990.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetM. S. Ying, “A new approach for fuzzy topology. I,” Fuzzy Sets and Systems, vol. 39, no. 3, pp. 303–321, 1991.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetM. S. Ying, “A new approach for fuzzy topology. III,” Fuzzy Sets and Systems, vol. 55, no. 2, pp. 193–207, 1993.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetY. Yue and J. Fang, “Generated -fuzzy topological spaces,” Fuzzy Sets and Systems, vol. 154, no. 1, pp. 103–117, 2005.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetD. Zhang, “-fuzzifying topologies as -topologies,” Fuzzy Sets and Systems, vol. 125, no. 2, pp. 135–144, 2002.
View at: Publisher Site | Google Scholar | Zentralblatt MATH | MathSciNetD. Zhang and Y. Liu, “Weakly induced modifications of -fuzzy topological spaces,” Acta Mathematica Sinica, vol. 36, no. 1, pp. 68–73, 1993 (Chinese).
View at: Google Scholar | Zentralblatt MATH
Copyright
Copyright © 2006 Hindawi Publishing Corporation. This is an open access article distributed under the
Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.