한국지능시스템학회논문지 (Journal of the Korean Institute of Intelligent Systems)

  • 제13권5호
  • /
  • Pages.614-620
  • /
  • 2003
  • /
  • 1976-9172(pISSN)
  • /
  • 2288-2324(eISSN)
한국지능시스템학회 (Korean Institute of Intelligent Systems)
권호 표지
DOI QR코드

DOI QR Code

Some good extensions of compactness

  • Kim, Yong-Chan (Department of Mathematics, Kangnung National University) ;
  • Abbas, S.E. (Department of Mathematics, Kangnung National University)
  • 발행 : 2003.10.01
PDF 다운로드
⟨ 이전 논문 다음 논문 ⟩

초록

The aim of this paper is to introduce good definitions of compactness, almost compactness, near compactness, weak compactness, and S-closedness in fuzzy topological spaces in Sostak s sense. These compactness related concepts are defined for arbitrary fuzzy sets and some of their properties studied.

키워드

참고문헌

  1. H. Aygun, M. W. Warner and S. R. T. Kudri "On smooth L-fuzzy topological spaces" J. Fuzzy Math. 5(2),1997, 321-338,
  2. A. Bulbul" A note on Lo-fuzzy nearly compact spaces" Fuzzy Sets and Systems, 93,1998, 235-239.
  3. A. Bulbul and M. W. Warner" Good dilutions of fuzzy compactness", Fuzzy Sets and Systems, 51,1992, 111-115. https://doi.org/10.1016/0165-0114(92)90082-F
  4. C. L. Chang, "Fuzzy topological spaces" J. Math. Anal. Appl., 24, 1968, 182-190 https://doi.org/10.1016/0022-247X(68)90057-7
  5. K. C. Chattopadhyay and S. K. Samanta," Fuzzy topology" Fuzzy Sets and Systems, 54, 1993, 207-212 https://doi.org/10.1016/0165-0114(93)90277-O
  6. K. C. Chattopadhyay, R. N. Hazra, S. K. Samanta, "Gradation of openness" Fuzzy Sets and Systems, 49, 1992, 237 -242. https://doi.org/10.1016/0165-0114(92)90329-3
  7. M. Demirci,"Almost compactness and near compactness in three different topological structures of smooth topological spaces" Bull. Cal. Math. Soc. 88 1996, 79-86
  8. M. Demirci, "On several types of compactness in smooth topological spaces" Fuzzy Sets and Systems, 90(1), 1997, 83-88. https://doi.org/10.1016/S0165-0114(96)00121-2
  9. M. K. El Gayyar, E. E. Kerre and A. A. Ramadan, "Almost compactness and near compactness in smooth topological spaces" Fuzzy Sets and Systems, 92, 1994, 193-202
  10. R. Erturk and M. Demirci," On the compactness in fuzzy topological spaces in Sostak's sense" Math. Vesnik, 50, 1998, 75-81.
  11. A. H. Es and D.Coker "On several types of degree of fuzzy compactness in fuzzy topological spaces" J. Fuzzy Math. 3(3), 1995, 481- 491.
  12. A. H. Es and D. Coker" On several types of degree of fuzzy compactness" Fuzzy Sets and Systems, 87, 1997, 349-359. https://doi.org/10.1016/S0165-0114(96)00010-3
  13. U. Hohle and A. P.Sostak," A general theory of fuzzy topological spaces", Fuzzy Sets and Systems, 73, 1995, 131-149 https://doi.org/10.1016/0165-0114(94)00368-H
  14. U. Hohle and A. P. Sostak," Axiomatic Foundations of Fixed-Basis fuzzy topology," The Handbooks of Fuzzy sets series, Volume 3, Kluwer Academic Publishers, Dordrecht (Chapter 3), 1999
  15. T. Kubiak and A. P.Sostak, "Lower set-valued fuzzy topologies," Quaestiones Mathematicae, 20, 1997, 423-429 https://doi.org/10.1080/16073606.1997.9632016
  16. R. Lowen,"Fuzzy topological spaces and fuzzy compactness" J. Math. Anal. Appl. 56, 1976, 621-633. https://doi.org/10.1016/0022-247X(76)90029-9
  17. A. A. Ramadan," Smooth topological spaces" Fuzzy Sets and Systems, 48, 1992, 371-375. https://doi.org/10.1016/0165-0114(92)90352-5
  18. A. A. Ramadan," On smooth topological spaces Ill" J. Fuzzy Math., 8(1), 2000,35-64.
  19. A. A. Ramadan and S. E. Abbas," On L-smooth compactness" J. Fuzzy Math. 9(1), 2001, 59-73.
  20. A. P. Sostak, "On a fuzzy topological structure" Suppl. Rend. Circ. Matem. Palerms ser II, 11, 1985, 89-103
  21. A. P. Sostak, "On the neighborhood structure of a fuzzy topological space" Zb. Rodova Univ. Nis, ser Math, 4, 1990, 7-14
  22. A. P. Sostak," Basic structures of fuzzy topology" J. of Math. Sciences, 78(6), 1996, 662-701 https://doi.org/10.1007/BF02363065