본문 바로가기
KERD
논문KCI 등재

Decomposition of continuity and complete continuity in smooth fuzzy topological spaces

2

조회

0

다운로드

0

인용

0

참고문헌

키워드

주제분류수학

초록

In this paper, fuzzy α^*-set, fuzzy C-set, fuzzy AB-set,fuzzy t-set, fuzzy B-set, etc., are introduced in the sense of Sostak [12] and Ramadan [9].By using these sets, a decomposition of fuzzy continuity and complete fuzzy continuity are provided. Characterization of smooth fuzzy extremally disconnected spaces is also obtained in this connection.

Abstract

In this paper, fuzzy α^*-set, fuzzy C-set, fuzzy AB-set,fuzzy t-set, fuzzy B-set, etc., are introduced in the sense of Sostak [12] and Ramadan [9].By using these sets, a decomposition of fuzzy continuity and complete fuzzy continuity are provided. Characterization of smooth fuzzy extremally disconnected spaces is also obtained in this connection.

참고문헌 (17)

  1. Chang. C. L, "Fuzzy topological spaces", J. Math. Anal. Appl, 24, pp.182~190 (1968)
  2. Chattopadhyay. K. C., "Gradation of openness: Fuzzy topology", Fuzzy Sets and System, 49, pp.237~242 (1992)
  3. Hohle. U., "A general theory of fuzzy topological spaces", Fuzzy Sets and Systems, 73, pp.131~149 (1995)
  4. Hohle. U., "Axiomotic Foundations of Fixed - Basis fuzzy topology, In The Hand - books of Fuzzy sets series, vol.3" (1999), Kluwer Academic Publishers
  5. Kubiak. T., "Lower set valued fuzzy topologies", Questions Math, 20, pp.423~429 (1997)
  6. Lowen. R., "Fuzzy topological spaces and Fuzzy compactness", J. Math. Anal. Appl, 56, pp.621~633 (1976)
  7. Peeters. W., "Subspaces of smooth fuzzy topologies and initial smooth fuzzy structures", Fuzzy Sets and Systems, 104, pp.423~433 (1999)
  8. Ramadan. A. A., "Smooth topological spaces", Fuzzy Sets and Systems, 48, pp.371~375 (1992)
  9. Ramadan. A. A., "Fuzzy irresolute mappings in smooth fuzzy topological spaces", The Journal of Fuzzy Mathematics, 9, pp.865~877 (2001)
  10. Samanta. S. K., "Fuzzy topology: Fuzzy closure operator, Fuzzy compactness and Fuzzy connectedness", Fuzzy Sets and Systems, 54, pp.207~212 (1993)
  11. Smets. P., "The degree of belief in a fuzzy event", Inform Sci, 25, pp.1~19 (1981)
  12. Sostak. A. P., "On a Fuzzy topological structure", Revid. Circ. Matem Palermo (ser II), 11, pp.89~103 (1985)
  13. Sostak. A. P., "On the neighbourhood structure of a fuzzy topological space", zb. Rodova Univ. Nis. Ser. Math, 4, pp.7~14 (1990)
  14. Sostak. A. P., "Basic structures of fuzzy topology", J. Math. Sciences, 78, pp.662~701 (1996)
  15. Sugeno. M., "An introductory survey of Fuzzy Control", Inform. Sci, 36, pp.59~83 (1985)
  16. Uma. M. K., "A New Characterization of Fuzzy Entremally Disconnected Spaces", Atti Sem. Mat. Fis. Univ. Modena e Reggio Emilia, L, 3, pp.289~297 (2005)
  17. Zadeh. L. A., "Fuzzy sets", Information and Control, 8, pp.338~353 (1965)

관련 논문AI추천

이 간행물의 다른 논문 (8건)