본문 바로가기
HOME> 논문 > 논문 검색상세

논문 상세정보

CONNECTEDNESS IN INTUITIONISTIC FUZZY TOPOLOGICAL SPACES

KIM, YONG-CHAN    (Department of Mathematics Kangnung National University   ); ABBAS S. E.    (Department of Mathematics Faculty of Science South Valley University  );
  • 초록

    We introduce the notion of (r,s)-connected sets in intuitionistic fuzzy topological spaces and investigate some properties of them. In particular, we show that every (r,s)-component in an intuitionistic fuzzy topological space is (r,s)-component in the stratification of it.


  • 주제어

    intuitionistic (stratified) fuzzy topological spaces .   (r,s)-separated ((r,s)-connected) fuzzy sets .   (r,s)-components.  

  • 참고문헌 (26)

    1. K. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets and Systems 20 (1986), 87-96 
    2. K. Atanassov, New operators defined over the intuitionistic fuzzy sets, Fuzzy Sets and Systems 61 (1993), 131-142 
    3. C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl. 24 (1968), 182-190 
    4. K. C. Chattopadhyay, R. N. Hazra and S. K. Samanta, Gradation of openness: Fuzzy topology, Fuzzy Sets and Systems 49 (1992), 237-242 
    5. K. C. Chattopadhyay and S. K. Samanta, Fuzzy topology: fuzzy closure, fuzzy compactness and fuzzy connectedness, Fuzzy Sets and Systems 54 (1993), 207-212 
    6. D. Coker, An introduction of intuitionistic fuzzy topological spaces, Fuzzy Sets and Systems 88 (1997), 81-89 
    7. D. Coker and M. Demirsi, An introduction to intuitionistic fuzzy topological spaces in Sostak's sense, Busefal 67 (1996), 67-76 
    8. U. Hohle and A. P. Sostak, A general theory of fuzzy topological spaces, Fuzzy Sets and Systems 73 (1995), 131-149 
    9. U. Hohle, Axiomatic Foundations of Fixed-Basis fuzzy topology, Handb. Fuzzy Sets Ser. Kluwer Acad. Publ., Dordrecht (Chapter 3) 3 (1999) 
    10. Y. C. Kim and Y. S. Kim, Connectedness in smooth fuzzy topological space, Far East J. Math. Sci. 5 (2002), no.3, 165-180 
    11. T. Kubiak and A. P. Sostak, Lower set-valued fuzzy topologies, Quaest. Math. 20 (1997), no.3, 423-429 
    12. E. P. Lee and Y. B. Im, Mated fuzzy topological spaces, Int. Journal of fuzzy logic and intelligent systems 11 (2001), no. 2, 161-165 
    13. Y. M. Liu and M. K. Luo, Fuzzy topology, World Scientific Publishing Co. Sin- gapore, 1997 
    14. R. Lowen, Fuzzy topological spaces and fuzzy compactness, J. Math. Anal. Appl. 56 (1976), 621-633 
    15. R. Lowen, Connectedness in fuzzy topological spaces, Rocky Mountain J. Math. 11 (1981), 427-433 
    16. W. Peeters, Subspaces of smooth fuzzy topologies and initial smooth fuzzy struc-tures, Fuzzy Sets and Systems 104 (1999), 423-433 
    17. P. M. Pu and Y. M. Liu, fuzzy topology I, Neighbourhood structure of a fuzzy point and Moore-Smith convergence, J. Math. Anal. Appl. 76 (1980), 571-599 
    18. S. K. Samanta and T. K. Mondal, Intuitionistic gradation of openness: intu- itionistic fuzzy topology, Busefal 73 (1997), 8-17 
    19. S. K. Samanta, On intuitionistic gradation of openness, Fuzzy Sets and Systems 131 (2002), 323-336 
    20. A. P. Sostak, On a fuzzy topological structure, Rend. Circ. Mat. Palermo(2)Suppl. 11 (1985), 89-103 
    21. A. P. Sostak, On the neighbourhood structure of a fuzzy topological space, Zb. Rad. 4 (1990), 7-14 
    22. A. P. Sostak,Basic structures of fuzzy topology, J. Math. Sci. 78 (1996), no. 6, 662-701 
    23. X. D. Zhao, Connectedness on fuzzy topological spaces, Fuzzy Sets and Systems 20 (1986), 223-240 
    24. Y. C. Kim, Stratifications of smooth fuzzy topological spaces, J. Fuzzy Math. 9 (2001), no. 2, 381-390 
    25. K. Atanassov and G. Gargov, Elements of intuitionistic fuzzy logic, Fuzzy Sets and Systems 95 (1998), 39-52 
    26. A. A. Ramadan, Smooth topological spaces, Fuzzy Sets and Systems 48 (1992), 371-375 
  • 이 논문을 인용한 문헌 (1)

    1. 2009. "" Communications of the Korean Mathematical Society = 대한수학회논문집, 24(3): 433~450     

 활용도 분석

  • 상세보기

    amChart 영역
  • 원문보기

    amChart 영역

원문보기

무료다운로드
유료다운로드
  • 원문이 없습니다.

유료 다운로드의 경우 해당 사이트의 정책에 따라 신규 회원가입, 로그인, 유료 구매 등이 필요할 수 있습니다. 해당 사이트에서 발생하는 귀하의 모든 정보활동은 NDSL의 서비스 정책과 무관합니다.

원문복사신청을 하시면, 일부 해외 인쇄학술지의 경우 외국학술지지원센터(FRIC)에서
무료 원문복사 서비스를 제공합니다.

NDSL에서는 해당 원문을 복사서비스하고 있습니다. 위의 원문복사신청 또는 장바구니 담기를 통하여 원문복사서비스 이용이 가능합니다.

이 논문과 함께 출판된 논문 + 더보기