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The Y-Compactness in L-Fuzzy Topological Spaces

  • Yin-hang Wang
  • Shi-zhong Bai
Part of the Advances in Soft Computing book series (AINSC, volume 54)

Abstract

In this paper, we introduce the Y-compactness in L-fuzzy topological spaces. It possesses the following properties: (1) Y-compactness is hereditary for Y-closed subsets, (2) Y-compactness is preserved under Y-irresolute mapping. (3) Every set with finite support is Y-compactness. The Y-compactness is defined for arbitrary L-fuzzy subsets. It is described with α-net, α-filter, r-Y-cover form and r  + -finite intersection property.

Keywords

L-fuzzy topological spaces Y-closed set Remote-neighborhood Compactness Y-compactness 

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References

  1. 1.
    Bai, S.Z.: Fuzzy strongly semiopen sets and fuzzy strongly semicontinuity. Fuzzy Sets and Systems 52, 345–351 (1992)zbMATHCrossRefMathSciNetGoogle Scholar
  2. 2.
    Bai, S.Z.: L-fuzzy SP-compact Sets. Advances In Mathematics 33, 316–322 (2004)Google Scholar
  3. 3.
    Bai, S.Z.: L-fuzzy PS-compactness. International Journal of Uncertain, Fuzziness and Knowledge-Based Systems 2, 201–209 (2002)Google Scholar
  4. 4.
    Bai, S.Z.: The SR-compactness in L-fuzzy topological spaces. Fuzzy Sets and Systems 87, 219–225 (1997)zbMATHCrossRefMathSciNetGoogle Scholar
  5. 5.
    Gierz, G., et al.: A Compendium of Continuous Lattices. Springer, Berlin (1980)zbMATHGoogle Scholar
  6. 6.
    Mashour, A.S., Ghanim, M.H., Fath. Alla, M.A.: On fuzzy non-continuous mappings. Bull. Calcutta Math. Soc. 78, 57–69 (1986)MathSciNetGoogle Scholar
  7. 7.
    Wang, G.J.: Theory of L-fuzzy topological spaces. Shaanxi Normal University, Xian (1988)Google Scholar
  8. 8.
    Wang, Y.H., Bai, S.Z.: Y-open sets and Y-continuous mappings in L-topological spaces. Fuzzy Systems and Mathematics (in press, 2008)Google Scholar
  9. 9.
    Wang, Y.H., Bai, S.Z.: Fuzzy Y-irresolute mappings. In: The 5th International Conference on Fuzzy Systems and Knowledge Discovery, FSKD 2008 (in press, 2008)Google Scholar
  10. 10.
    Zhao, D.S.: The N-compactness in L-fuzzy topological spaces. J. Math. Anal. Appl. 28, 64–79 (1987)Google Scholar

Copyright information

© Springer-Verlag Berlin Heidelberg 2009

Authors and Affiliations

  • Yin-hang Wang
    • 1
  • Shi-zhong Bai
    • 1
  1. 1.Department of Mathematics and PhysicsWuyi UniversityGuangdongP.R. China

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