Abstract
In this paper, the concepts of almost αω-remote neighborhood family, almost γω-cover and almost ω-compactness are proposed in Lω-spaces. The characterizations of almost ω-compactness are systematically discussed. Some important properties of almost ω-compactness, such as the almost ω-compactness is ωθ-closed hereditary and preserving invariance under almost ω-continuous mappings, are obtained.
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References
Chen, S.L.: Almost F-compactness in L-fuzzy topological spaces. J. Northeastern Math. 7(4), 428–432 (1991)
Chen, S.L., Cheng, J.S.: On Lω-spaces. In: Proc. Eleventh IFSA World Congress, Beijing, China, vol. 1, pp. 257–261. Tsinghua University Press and Springer (2005)
Chen, S.L.: L-fuzzy order-preserving operator spaces. J. Fuzzy Math. 14(2), 36–41 (2006)
Chen, S.L.: The ω-compactness in Lω-spaces. J. Fuzzy Math. 17 (2009)
Chen, S.L., Cai, G.R., Chen, G.L., Guo, W.Z.: ωθ-convergence theory of Filters in Lω-spaces. In: Proceeding of Fifth International Conference on Fuzzy Systems and Knowledge Discovery, vol. 1, pp. 489–496 (2008)
Huang, Z.X., Chen, S.L.: ω-separation axioms in Lω-spaces. J. Math. 25(1), 383–388 (2005)
Hutton, B.: Uniformities on fuzzy topological spaces. J. Math. Anal. Appl. 58, 559–571 (1977)
Lai, Y.F., Chen, S.-L.: ωθ-Convergence theory of molecular nets and ideals in Lω-spaces. Fuzzy Systems and Math. 23(ZJ), 99–103 (2008)
Liu, Y.M.: The compactness and the Tychonoff product theorem in fuzzy topological spaces. Acta Math. Sinica 24, 262–268 (1981)
Lowen, R.: Fuzzy topological spaces and fuzzy compactness. J. Math. Anal. Appl. 57, 621–633 (1976)
Shi, F.G.: A new notion of fuzzy compactness in L-topological spaces. Information Science 173, 35–48 (2005)
Wang, G.J.: A new fuzzy compactness defined by fuzzy nets. J. Math. Anal. Appl. 94, 1–23 (1983)
Wang, G.J.: Theory of L-fuzzy topological spaces. Shaanxi Normal University Press (1988)
Zadeh, L.A.: Fuzzy Sets. Information and Control 8, 338–353 (1965)
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Chen, Sl., Wu, Yd., Cai, Gr., Xie, Jl. (2009). The Almost ω-Compactness in Lω-Spaces. In: Cao, B., Li, TF., Zhang, CY. (eds) Fuzzy Information and Engineering Volume 2. Advances in Intelligent and Soft Computing, vol 62. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-03664-4_181
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DOI: https://doi.org/10.1007/978-3-642-03664-4_181
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-03663-7
Online ISBN: 978-3-642-03664-4
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