Bulletin of the Korean Mathematical Society (대한수학회보)

Korean Mathematical Society (대한수학회)
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FUZZY ωO-OPEN SETS

  • Published : 2008.11.30
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Abstract

In this paper, we introduce the relatively new notion of fuzzy ${\omega}^O$-open set. We prove that the collection of all fuzzy ${\omega}^O$-open subsets of a fuzzy topological space forms a fuzzy topology that is finer than the original one. Several characterizations and properties of this class are also given as well as connections to other well-known "fuzzy generalized open" subsets.

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References

  1. M. K. Chakrabarty and T. M. G. Ahsanullah, Fuzzy topology on fuzzy sets and tolerance topology, Fuzzy Sets and Systems 45 (1992), no. 1, 103-108 https://doi.org/10.1016/0165-0114(92)90096-M
  2. C. L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl. 24 (1968), 182-190 https://doi.org/10.1016/0022-247X(68)90057-7
  3. A. K. Chaudhuri and P. Das, Some results on fuzzy topology on fuzzy sets, Fuzzy Sets and Systems 56 (1993), no. 3, 331-336 https://doi.org/10.1016/0165-0114(93)90214-3
  4. A. H. E¸s, Almost compactness and near compactness in fuzzy topological spaces, Fuzzy Sets and Systems 22 (1987), no. 3, 289-295 https://doi.org/10.1016/0165-0114(87)90072-8
  5. T. E. Gantner and R. C. Steinlange, Compactness in fuzzy topological spaces, J. Math. Anal. Appl. 62 (1978), no. 3, 547-562 https://doi.org/10.1016/0022-247X(78)90148-8
  6. F. S. Mahmoud, M. A. Fath Alla, and S. M. Abd Ellah, Fuzzy topology on fuzzy sets: fuzzy semicontinuity and fuzzy semiseparation axioms, Appl. Math. Comput. 153 (2004), no. 1, 127-140 https://doi.org/10.1016/S0096-3003(03)00616-7
  7. C. K. Wong, Covering properties of fuzzy topological spaces, J. Math. Anal. Appl. 43 (1973), 697-704 https://doi.org/10.1016/0022-247X(73)90285-0
  8. C. K. Wong, Fuzzy points and local properties of fuzzy topology, J. Math. Anal. Appl. 46 (1974), 316-328 https://doi.org/10.1016/0022-247X(74)90242-X

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