대한수학회논문집 (Communications of the Korean Mathematical Society)

  • 제18권2호
  • /
  • Pages.325-340
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  • 2003
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  • 1225-1763(pISSN)
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  • 2234-3024(eISSN)
대한수학회 (Korean Mathematical Society)
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FUZZY G-CLOSURE OPERATORS

  • Kim, Yong-Chan (Department of Mathematics Kangnung National University) ;
  • Ko, Jung-Mi (Department of Mathematics Kangnung National University)
  • 발행 : 2003.04.01
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초록

We introduce a fuzzy g-closure operator induced by a fuzzy topological space in view of the definition of Sostak [13]. We show that it is a fuzzy closure operator. Furthermore, it induces a fuzzy topology which is finer than a given fuzzy topology. We investigate some properties of fuzzy g-closure operators.

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참고문헌

  1. Fuzzy Sets and Systems v.86 On some generalizations of fuzzy continuous functions G.Balasubramanian;P.Sundaram https://doi.org/10.1016/0165-0114(95)00371-1
  2. J. Math. Anal. Appl. v.24 Fuzzy topological spaces G.L.Chang https://doi.org/10.1016/0022-247X(68)90057-7
  3. Fuzzy Sets and Systems v.54 Fuzzy topology K.C.Chattorpadhyay;S.K.Samanta https://doi.org/10.1016/0165-0114(93)90277-O
  4. Fuzzy Sets and Systems v.49 no.2 Gradation of openness: Fuzzy topology K.C.Chattopadhyay;R.N.Hazra;S.K.Samanta https://doi.org/10.1016/0165-0114(92)90329-3
  5. Kyungpook Math. J. v.32 On g-closed sets and g-continuous mappings M.C.Cueva
  6. Kyungpook Math. J. v.22 A new closure operator for non-T₁topologies W.Dunham
  7. Fuzzy Sets and Systmes v.45 Chattopadhyay, Fuzzy topology redefined R.N.Hazra;S.K.Samanta;K.C.Chattopadhyay https://doi.org/10.1016/0165-0114(92)90093-J
  8. The handbooks of fuzzy sets series v.3 Mathematics of Fuzzy Sets: Logic, Tropology and measure Theory U.Hohle;S.E.Rodabaugh
  9. J. of Korrea Fuzzy Logic and intelligent Systems v.8 no.3 Initial smooth fuzzy topologica spaces Y.C.Kim
  10. Fuzzy Sets and Systems Initial L-fuzzy closure spaces Y.C.Kim
  11. Rend. Circ. Mat. Palermo v.19 Generalized closed sets in topology N.Levine https://doi.org/10.1007/BF02843888
  12. Indian J. Pure appl. Math. v.14 no.4 On supratopological spaces A.S.Mashhour;A.A.Allam;F.S.Mahmoud;F.H.Khedr
  13. Circ. Matem. palermo Ser.Ⅱ v.11 On a fuzzy topological structure A.P.$\v{S}$ostak

피인용 문헌

  1. (r, s)-(τ12,τ12*)-θ-Generalized double fuzzy closed sets in bitopological spaces vol.24, pp.4, 2016, https://doi.org/10.1016/j.joems.2016.01.003