대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제12권1호
  • /
  • Pages.113-126
  • /
  • 1997
  • /
  • 1225-1763(pISSN)
  • /
  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
권호 표지

A generalization of a lattice fuzzy topology

  • Lee, Seok-Jong (Department of Mathematics, Chungbuk National University) ;
  • Park, Eun-Suk (Department of Mathematics, Chungbuk National University) ;
  • Lee, Eun-Pyo (Department of Mathematics, Seonam University)
  • 발행 : 1997.01.01
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초록

In this paper we introduce a new definition of a lattice fuzzy topology which is a generalization of Lowen's fuzzy topology and show that the category of Lowen's fuzzy topological spaces is a bireflective full subcategory of the category of lattice fuzzy topological spaces.

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참고문헌

  1. J. Math. Anal. Appl. v.24 Fuzzy topological spaces C. L. Chang
  2. Fuzzy sets and systems v.49 Gradation of openness : fuzzy topology K. C. Chattopadhyay;R. N. Hazra;S. K. Samanta
  3. J. Math. Anal. Appl. v.18 L-fuzzy sets J. A. Goguen
  4. Fuzzy Sets and Systems v.45 Fuzzy topology redefined R. N. Hazra;S. K. Samanta;K. C. Chattopadhyay
  5. J. Fuzzy Logic and Intelligent Systems v.4 no.4 The lattice fuzzy topology S. J. Lee;E. P. Lee
  6. J. Math. Anal. Appl. v.56 R. Lowen
  7. J. Math. Anal. Appl. v.76 Fuzzy topology Ⅰ Neighborhood structure of a fuzzy point and Moore-Smith convergence Pu Pao-Ming;Liu Ying-Ming
  8. Fuzzy Sets and Systems v.48 Smooth topological spaces A. A. Ramadan
  9. J. Math. Anal. Appl. v.43 Covering properties of fuzzy topological spaces C. K. Wang