International Journal of Fuzzy Logic and Intelligent Systems

  • 제9권4호
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  • Pages.261-268
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  • 2009
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  • 1598-2645(pISSN)
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  • 2093-744X(eISSN)
한국지능시스템학회 (Korean Institute of Intelligent Systems)
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C*-compactness in L-Fuzzy Topological Spaces

  • Saad, Ali Kandil (Mathematics Department, Faculty of Science, Helwan University) ;
  • Tantawy, Osama A. E. (Mathematics Department, Faculty of Science, Zagazig University) ;
  • Yakout, Mohammed Mostafa (Mathematics Department, Faculty of Education, Ain Shams University) ;
  • Saleh, Salem Ali M. (Mathematics Department, Faculty of Education, Ain Shams University)
  • 투고 : 2009.04.01
  • 심사 : 2009.10.30
  • 발행 : 2009.12.25
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초록

In this paper we introduce stronger form of the notion of cover so-called p-cover which is more appropriate. According to this cover we introduce and study another type of compactness in L-fuzzy topology so-called $C^*$-compact and study some of its properties with some interrelation.

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참고문헌

  1. M. Alimohammady, M. Roohi, 'Compactness in fuzzy minimal spaces', Chaos, Solitons and Fractals, vol. 28, pp. 906-912, 2006 https://doi.org/10.1016/j.chaos.2005.08.043
  2. H. Aygun, S. R. T. Kudri, M. W. Warner, 'Relative compactness in L-fuzzy topological spaces', Fuzzy Sets Sys. vol. 116, pp. 311-316, 2000 https://doi.org/10.1016/S0165-0114(98)00110-9
  3. J.J. Chadwick, 'A generalized form of compactness in fuzzy topological spaces', J. Math. Anal. Appl., vol. 162, pp. 92–110, 1991 https://doi.org/10.1016/0022-247X(91)90180-8
  4. C.L. Chang, 'Fuzzy topological spaces', J. Math. Ana. App., vol. 24, pp. 182-190, 1968 https://doi.org/10.1016/0022-247X(68)90057-7
  5. Erdal Ekici, 'On fuzzy covering properties', Periodica Math. Hungarica, vol. 54, no. 1, pp. 77-84, 2007 https://doi.org/10.1007/s-10998-007-1077-0
  6. Erdal Ekici, 'More on $\theta$-compact fuzzy topological spaces', Chaos, Solitons and Fractals, vol. 2864, pp. 1157-1161, 2006 https://doi.org/10.1016/j.chaos.2005.04.077
  7. R. Erturk, 'Some results on fuzzy compact spaces', Fuzzy Sets Sys., vol. 70, no. 1, pp. 107–112, 1995 https://doi.org/10.1016/0165-0114(94)00230-5
  8. T. E. Gantner, R. C. Steinlage, R.H. Warren, 'Compactness in fuzzy topological spaces', J. Math. Anal. Appl., vol. 56, pp. 547–562, 1978 https://doi.org/10.1016/0022-247X(78)90148-8
  9. D. N. Georgiou, B. Papadopoulos, 'On fuzzy compactness', vol. 233, pp. 86-101, 1999 https://doi.org/10.1006/jmaa.1999.6268
  10. S. Gottwald, 'Fuzzy points and local properties of fuzzy topological spaces', Fuzzy Sets and Sys., vol. 5, pp. 199-201, 1981 https://doi.org/10.1016/0165-0114(81)90017-8
  11. B. Hutton, 'Normality in fuzzy topological spaces', J. Math. Anal. Appl., vol. 50, pp. 74–79, 1975 https://doi.org/10.1016/0022-247X(75)90039-6
  12. B. Hutton, 'Products of fuzzy topological spaces', Topology Appl., vol. 11, pp. 59-67, 1980 https://doi.org/10.1016/0166-8641(80)90017-6
  13. S.R.T. Kudri, 'Compactness in L-fuzzy topological spaces', Fuzzy Sets and Sys., vol. 67, pp. 329-336, 1994 https://doi.org/10.1016/0165-0114(94)90260-7
  14. A. Kandil , A. M. Abd-Allah, 'Fuzzy Q-proximity spaces', Bull. Fac. Sci. Assiut Univ., vol. 14, pp. 107-120, 1985
  15. A. Kandil, O. Tantawy, M. Yakout, S. Saleh, 'Regularity and separation axioms on L-fuzzy topological spaces', J. Egy. Math. Soc., to appear
  16. R. Lowen, 'A comparison of different compactness notions in fuzzy topological spaces', J. Math. Anal. Appl., vol. 64, pp. 446–454, 1978 https://doi.org/10.1016/0022-247X(78)90052-5
  17. Y-M. Liu, L. Mao-Kang, 'Fuzzy topology'. World Scientific Publishing, Singapore, 1997
  18. S. Nanda, 'Strongly compact fuzzy topological spaces', Fuzzy Sets and Sys., vol. 42, pp. 259–62, 1991 https://doi.org/10.1016/0165-0114(91)90151-F
  19. Fu-Gui Shi, 'A new definition of fuzzy compactness', Fuzzy Sets and Sys., vol. 158, pp. 1486-1495, 2007 https://doi.org/10.1016/j.fss.2007.02.006
  20. Fu-Gui Shi, 'a new notion of fuzzy compactness in L topology-ical spaces', Information Sciences, vol. 173, pp. 35-48, 2005 https://doi.org/10.1016/j.ins.2004.06.004
  21. S.S. Thakur, R.K. Saraf, '$\theta$-compact fuzzy topological spaces', Mathematica Bohemica 120, vol. 3, pp. 299-303, 1995
  22. M.W. Warner, R.G. McLean, 'On compact Hausdorff L-fuzzy spaces', Fuzzy Sets and Sys., vol. 56, pp. 103-110, 1993 https://doi.org/10.1016/0165-0114(93)90190-S
  23. G.-J. Wang, 'A new fuzzy compactness defined by fuzzy nets', J. Math. Anal. Appl., vol. 94, pp. 1–23, 1983 https://doi.org/10.1016/0022-247X(83)90002-1
  24. G.-J.Wang, Theory of L-fuzzy topological spaces, Shanxi Normal Univ. Press, Xi'an, 1988
  25. M. D. Weiss, 'Fixed point, separation and induced topologies for fuzzy sets', J. Math. Anal. Appl., vol. 50, pp. 142–150, 1975 https://doi.org/10.1016/0022-247X(75)90044-X
  26. D.S. Zhao, 'The N- compact-ness in L-fuzzy topological spaces', J. Math. Anal. Appl., vol. 128, pp. 64–70, 1987 https://doi.org/10.1016/0022-247X(87)90214-9