Abstract
In this paper, the new compactness which is relative PS- compactness in L-fuzzy topological spaces is introduced. It is defined for arbitrary L-fuzzy subsets. And some of its characteristic properties and fundamental properties are studied.
Access this chapter
Tax calculation will be finalised at checkout
Purchases are for personal use only
Preview
Unable to display preview. Download preview PDF.
References
Arhangel’sk, A.V.: Relative topological properties and relative topological spaces. Topology Apple 70, 87–99 (1996)
Chang, C.L.: Fuzzy topological spaces. J. Math.Anal. Appl. 24, 182 (1968)
Liu, Y.M., Luo, M.K.: Fuzzy topological. World Scientific Publishing, Singapore (1977)
Wang, G.J.: Theory of L-fuzzy Topological Spaces. Press of Shanxi Normal University Xi’an, China (1998)
Bai, S.Z.: Fuzzy pre-semiopen sets and fuzzy pre-semicontinuity. In: Proc. ICTS@92, pp. 918 (1992)
Bai, S.Z.: L-fuzzy PS-compactness. International Journal of Uncertainty, Fuzziness and Knowledge-based Systems 10(2), 201–209 (2002)
Hutton, B.: Products of fuzzy topological spaces. Topologh. Appl. 11, 59 (1980)
Lowen, R.: Fuzzy topological spaces and fuzzy compactness. J. Math. Anal. Appl. 56, 621 (1976)
Wang, G.J.: A new fuzzy compactness defined by fuzzy nets. J. Math. Anal. Appl. 94(1), 19–83
Liu, Y.M.: The compactness and the Tychonoff product theorem in fuzzy topological spac-Es. Acta Math. Sinica 24, 260 (1981)
Hutton, B.: Uniformities on fuzzy topological spaces. J. Math. Anal. Appl. 58, 559 (1977)
Zhao, D.S.: The N-Compactness in L-fuzzy topological spaces. J. Math. Anal. Appl. 128, 64–79 (1987)
Author information
Authors and Affiliations
Editor information
Editors and Affiliations
Rights and permissions
Copyright information
© 2009 Springer-Verlag Berlin Heidelberg
About this paper
Cite this paper
He, Wm. (2009). L-Fuzzy Relative PS-Compactness. 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_62
Download citation
DOI: https://doi.org/10.1007/978-3-642-03664-4_62
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-642-03663-7
Online ISBN: 978-3-642-03664-4
eBook Packages: EngineeringEngineering (R0)