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.
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References
Bai, S.Z.: Fuzzy strongly semiopen sets and fuzzy strongly semicontinuity. Fuzzy Sets and Systems 52, 345–351 (1992)
Bai, S.Z.: L-fuzzy SP-compact Sets. Advances In Mathematics 33, 316–322 (2004)
Bai, S.Z.: L-fuzzy PS-compactness. International Journal of Uncertain, Fuzziness and Knowledge-Based Systems 2, 201–209 (2002)
Bai, S.Z.: The SR-compactness in L-fuzzy topological spaces. Fuzzy Sets and Systems 87, 219–225 (1997)
Gierz, G., et al.: A Compendium of Continuous Lattices. Springer, Berlin (1980)
Mashour, A.S., Ghanim, M.H., Fath. Alla, M.A.: On fuzzy non-continuous mappings. Bull. Calcutta Math. Soc. 78, 57–69 (1986)
Wang, G.J.: Theory of L-fuzzy topological spaces. Shaanxi Normal University, Xian (1988)
Wang, Y.H., Bai, S.Z.: Y-open sets and Y-continuous mappings in L-topological spaces. Fuzzy Systems and Mathematics (in press, 2008)
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)
Zhao, D.S.: The N-compactness in L-fuzzy topological spaces. J. Math. Anal. Appl. 28, 64–79 (1987)
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© 2009 Springer-Verlag Berlin Heidelberg
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Wang, Yh., Bai, Sz. (2009). The Y-Compactness in L-Fuzzy Topological Spaces. In: Cao, By., Zhang, Cy., Li, Tf. (eds) Fuzzy Information and Engineering. Advances in Soft Computing, vol 54. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-540-88914-4_41
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DOI: https://doi.org/10.1007/978-3-540-88914-4_41
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-88913-7
Online ISBN: 978-3-540-88914-4
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