International Journal of Fuzzy Logic and Intelligent Systems

  • 제5권3호
  • /
  • Pages.259-262
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  • 2005
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  • 1598-2645(pISSN)
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  • 2093-744X(eISSN)
한국지능시스템학회 (Korean Institute of Intelligent Systems)
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Initial L-fuzzy quasi-uniform structures

  • Ko Jung-Mi (Department of Mathematics, Kangnung National University) ;
  • Kim Yong-Chan (Department of Mathematics, Kangnung National University)
  • 발행 : 2005.09.01
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초록

We prove the existence of initial L-fuzzy (quasi-)uniform structures. From this fact, we can define subspaces and products of L-fuzzy (quasi-)uniform spaces.

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참고문헌

  1. R. Badard, A.A. Ramadan and A.S. Mashhour, ' Smooth preuniform and preproximity spaces' Fuzzy Sets and Systems, vol 59, pp 95-107, 1993 https://doi.org/10.1016/0165-0114(93)90229-B
  2. C.L. Chang, 'fuzzy topological spaces' J. Math. Anal. Appl vol 24, pp 182-190, 1968 https://doi.org/10.1016/0022-247X(68)90057-7
  3. U. Heohle, 'Probabilistic uniformization of fuzzy uniformities' Fuzzy Sets and Systems, vol 1, pp 311-316, 1979 https://doi.org/10.1016/0165-0114(78)90021-0
  4. U. Heohle and S.E. Rodabaugh, Mathematics of Fuzzy Sets, The handbooks of fuzzy sets series, Volume 3 , Kluwer Academic Publishers, 1999
  5. B. Hutton, 'Uniformities on fuzzy topological spaces' J. Math. Anal. Appl vol 58, pp559-571, 1977 https://doi.org/10.1016/0022-247X(77)90192-5
  6. A.K. Katsaras,' Fuzzy quasi-proximities and fuzzy quasi-uniformities,' Fuzzy Sets and Systems vol. 27. pp 335-343, 1988 https://doi.org/10.1016/0165-0114(88)90059-0
  7. Y.C. Kim, 'L-fuzzy quasi-uniformizable spaces', Indian J. pure and appl. Math. vol. 35(5). pp 599-619, 2004
  8. Liu Ying-Ming and Luo Mao-Kang, Fuzzy topology, World Scientific Publishing Co., Singapore, 1997
  9. A.A. Ramadan,Y.C. Kim, M.K. EL-Gayyar, 'On fuzzy uniform spaces', J. Fuzzy Math. vol.11. pp 279-299, 2003
  10. S.K. Samanta, 'Fuzzy quasi-proximities and fuzzy quasi-uniformities', Fuzzy Sets and Systems vol 70, pp 97-105, 1995 https://doi.org/10.1016/0165-0114(94)00236-Z
  11. A.P. Sostak, 'On a fuzzy topologial structures' Suppl .Rend.Circ.Matem. Palermo, Ser. II, 11, pp 89-103, 1985