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Compactness in L-Fuzzy Topological Spaces  ABSTRACT  |  FULL TEXT 

Year 2011, Volume: 40 Issue: 6, 767 - 774, 01.06.2011

References

  • Ayg¨un, H. and Abbas, S. E. Some good extensions of compactness in Sostak’s L-fuzzy topol- ogy, Hacet. J. Math. Stat. 36 (2), 115–125, 2007.
  • Ayg¨un, H., Warner, M. W. and Kudri, S. R. T. On smooth L-fuzzy toplogical spaces, J. Fuzzy Math. 5, 321–338, 1997.
  • Chang, C. L. Fuzzy topological spaces, J. Math. Anal. Appl. 24, 182–190, 1968.
  • Dwinger, P. Characterizations of the complete homomorphic images of a completely dis- tributive complete lattice I, Indagationes Mathematicae (Proceedings) 85, 403–414, 1982.
  • Fang, J. M. and Yue, Y. L. Base and subbase in I-fuzzy topological spaces, Journal of Math- ematical Research and Exposition 26, 89–95, 2006.
  • Gantner, T. E., Steinlage R. C. and Warren R. H. Compactness in fuzzy topological spaces, J. Math. Anal. Appl. 62, 547–562, 1978.
  • H¨ohle, U. and Rodabaugh, S. E. Mathematics of fuzzy sets: logic, topology, and measure theory(Kluwer Academic Publishers, Boston/Dordrecht/London, 1999).
  • H¨ohle, U. and ˇSostak, A. P. Axiomatic foundations of fixed-basis fuzzy topology, Chapter 3 in [7]. Kubiak, T. On fuzzy topologies (Ph.D. Thesis, Adam Mickiewicz, Poznan, Poland, 1985).
  • Liu, Y. M. Compactness and Tychnoff theorem in fuzzy topological spaces, Acta Mathemat- ica Sinica 24, 260–268, 1981 (in Chinese).
  • Liu, Y. M., Luo, M. K. Fuzzy topology (World Scientific Publishing, Singapore, 1997).
  • Lowen, R. Fuzzy topological spaces and fuzzy compactness, J. Math. Anal. Appl. 56, 621– , 1976
  • Lowen, R. A comparision of different compactness notions in fuzzy topological spaces, J. Math. Anal. Appl. 64, 446–454, 1978.
  • Ramadan, A. A. and Abbas, S. E. On L-smooth compactness, J. Fuzzy Math. 9 (1), 59–72, Rodabaugh, S. E. Categorical foundations of variable-basis fuzzy topology, Chapter 4 in [7]. Shi, F. -G. and Zheng, C. -Y. O-convergence of fuzzy nets and its applications, Fuzzy Sets and Systems 140, 499–507, 2003.
  • Shi, F. -G. A new notion of fuzzy compactness in L-topological spaces, Information Sciences , 35–48, 2005.
  • Shi, F. -G. A new definition of fuzzy compactness, Fuzzy Sets and Systems 158, 1486–1495, ˇSostak, A. P. On a fuzzy topological structure, Rend. Circ. Mat. Palermo, II. Ser. Suppl. 11, –103, 1985.
  • Wang, G. J. A new fuzzy compactness defined by fuzzy nets, J. Math. Anal. Appl. 94, 1–23, Wang, G. J. Theory of L-Fuzzy Topological Spaces (Shaanxi Normal University Press, Xi’an, (in Chinese)). Zhang, J., Shi, F. -G. and Zheng, C. -Y. On L-fuzzy topological spaces, Fuzzy Sets and Systems 149, 473–484, 2005.
  • Zhao, D. S. The N-compactness in L-fuzzy topological spaces, J. Math. Anal. Appl. 128, –70, 1987.

Compactness in L-Fuzzy Topological Spaces  ABSTRACT  |  FULL TEXT 

Year 2011, Volume: 40 Issue: 6, 767 - 774, 01.06.2011

References

  • Ayg¨un, H. and Abbas, S. E. Some good extensions of compactness in Sostak’s L-fuzzy topol- ogy, Hacet. J. Math. Stat. 36 (2), 115–125, 2007.
  • Ayg¨un, H., Warner, M. W. and Kudri, S. R. T. On smooth L-fuzzy toplogical spaces, J. Fuzzy Math. 5, 321–338, 1997.
  • Chang, C. L. Fuzzy topological spaces, J. Math. Anal. Appl. 24, 182–190, 1968.
  • Dwinger, P. Characterizations of the complete homomorphic images of a completely dis- tributive complete lattice I, Indagationes Mathematicae (Proceedings) 85, 403–414, 1982.
  • Fang, J. M. and Yue, Y. L. Base and subbase in I-fuzzy topological spaces, Journal of Math- ematical Research and Exposition 26, 89–95, 2006.
  • Gantner, T. E., Steinlage R. C. and Warren R. H. Compactness in fuzzy topological spaces, J. Math. Anal. Appl. 62, 547–562, 1978.
  • H¨ohle, U. and Rodabaugh, S. E. Mathematics of fuzzy sets: logic, topology, and measure theory(Kluwer Academic Publishers, Boston/Dordrecht/London, 1999).
  • H¨ohle, U. and ˇSostak, A. P. Axiomatic foundations of fixed-basis fuzzy topology, Chapter 3 in [7]. Kubiak, T. On fuzzy topologies (Ph.D. Thesis, Adam Mickiewicz, Poznan, Poland, 1985).
  • Liu, Y. M. Compactness and Tychnoff theorem in fuzzy topological spaces, Acta Mathemat- ica Sinica 24, 260–268, 1981 (in Chinese).
  • Liu, Y. M., Luo, M. K. Fuzzy topology (World Scientific Publishing, Singapore, 1997).
  • Lowen, R. Fuzzy topological spaces and fuzzy compactness, J. Math. Anal. Appl. 56, 621– , 1976
  • Lowen, R. A comparision of different compactness notions in fuzzy topological spaces, J. Math. Anal. Appl. 64, 446–454, 1978.
  • Ramadan, A. A. and Abbas, S. E. On L-smooth compactness, J. Fuzzy Math. 9 (1), 59–72, Rodabaugh, S. E. Categorical foundations of variable-basis fuzzy topology, Chapter 4 in [7]. Shi, F. -G. and Zheng, C. -Y. O-convergence of fuzzy nets and its applications, Fuzzy Sets and Systems 140, 499–507, 2003.
  • Shi, F. -G. A new notion of fuzzy compactness in L-topological spaces, Information Sciences , 35–48, 2005.
  • Shi, F. -G. A new definition of fuzzy compactness, Fuzzy Sets and Systems 158, 1486–1495, ˇSostak, A. P. On a fuzzy topological structure, Rend. Circ. Mat. Palermo, II. Ser. Suppl. 11, –103, 1985.
  • Wang, G. J. A new fuzzy compactness defined by fuzzy nets, J. Math. Anal. Appl. 94, 1–23, Wang, G. J. Theory of L-Fuzzy Topological Spaces (Shaanxi Normal University Press, Xi’an, (in Chinese)). Zhang, J., Shi, F. -G. and Zheng, C. -Y. On L-fuzzy topological spaces, Fuzzy Sets and Systems 149, 473–484, 2005.
  • Zhao, D. S. The N-compactness in L-fuzzy topological spaces, J. Math. Anal. Appl. 128, –70, 1987.
There are 17 citations in total.

Details

Primary Language Turkish
Journal Section Mathematics
Authors

Fu-gui Shi This is me

 run-xiang Li This is me

Publication Date June 1, 2011
Published in Issue Year 2011 Volume: 40 Issue: 6

Cite

APA Shi, F.-g., & Li, .-x. (2011). Compactness in L-Fuzzy Topological Spaces  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics, 40(6), 767-774.
AMA Shi Fg, Li x. Compactness in L-Fuzzy Topological Spaces  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. June 2011;40(6):767-774.
Chicago Shi, Fu-gui, and  run-xiang Li. “Compactness in L-Fuzzy Topological Spaces  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics 40, no. 6 (June 2011): 767-74.
EndNote Shi F-g, Li -x (June 1, 2011) Compactness in L-Fuzzy Topological Spaces  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics 40 6 767–774.
IEEE F.-g. Shi and  .-x. Li, “Compactness in L-Fuzzy Topological Spaces  ABSTRACT  |  FULL TEXT ”, Hacettepe Journal of Mathematics and Statistics, vol. 40, no. 6, pp. 767–774, 2011.
ISNAD Shi, Fu-gui - Li, run-xiang. “Compactness in L-Fuzzy Topological Spaces  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics 40/6 (June 2011), 767-774.
JAMA Shi F-g, Li -x. Compactness in L-Fuzzy Topological Spaces  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. 2011;40:767–774.
MLA Shi, Fu-gui and  run-xiang Li. “Compactness in L-Fuzzy Topological Spaces  ABSTRACT  |  FULL TEXT ”. Hacettepe Journal of Mathematics and Statistics, vol. 40, no. 6, 2011, pp. 767-74.
Vancouver Shi F-g, Li -x. Compactness in L-Fuzzy Topological Spaces  ABSTRACT  |  FULL TEXT . Hacettepe Journal of Mathematics and Statistics. 2011;40(6):767-74.