Kudri, S. R. T. Compactness in \(L\)-fuzzy topological spaces. (English) Zbl 0842.54011 Fuzzy Sets Syst. 67, No. 3, 329-336 (1994). Summary: A good definition of compactness in an \(L\)-fuzzy topological space was introduced by M. W. Warner and R. G. McLean [ibid. 56, 103-110 (1993; Zbl 0790.54005)]. In this paper we give an extension of this notion to arbitrary \(L\)-fuzzy subsets and study its properties. Cited in 4 ReviewsCited in 22 Documents MSC: 54A40 Fuzzy topology Keywords:fuzzy lattice; \(L\)-fuzzy compact subsets; good extension Citations:Zbl 0790.54005 PDF BibTeX XML Cite \textit{S. R. T. Kudri}, Fuzzy Sets Syst. 67, No. 3, 329--336 (1994; Zbl 0842.54011) Full Text: DOI References: [1] Chadwick, J. J., J. Math. Anal. Appl., 162, 92-110 (1991) [2] Gantner, T. E.; Steinlage, R. C.; Warren, R. H., Compactness in fuzzy topological spaces, J. Math. Anal. Appl., 62, 547-562 (1978) · Zbl 0372.54001 [3] Gierz, G., A Compendium of Continuous Lattices (1980), Springer: Springer Berlin · Zbl 0452.06001 [4] Hutton, B., Products of fuzzy topological spaces, Topology Appl., 11, 59-67 (1980) · Zbl 0422.54006 [5] Liu, Y.; Luo, M., Induced Spaces and fuzzy Stone-Čech compactification, Scientia Sinica Ser. A, XXX, 10, 1034-1044 (1987) · Zbl 0645.54012 [6] Lowen, R., A comparison of different compactness notions in fuzzy topological spaces, J. Math. Anal. Appl., 64, 446-454 (1978) · Zbl 0381.54004 [7] Peng, Y., Nice compactness on \(L\)-fuzzy topological spaces, Acta Mathematica Sinica, 29, 4, 555-558 (1986) · Zbl 0616.54005 [8] Wang, G., A new fuzzy compactness defined by fuzzy nets, J. Math. Anal. Appl., 94, 1-23 (1983) · Zbl 0512.54006 [9] Warner, M. W., Fuzzy topology with respect to continuous lattices, Fuzzy Sets and Systems, 35, 85-91 (1990) · Zbl 0707.54004 [10] Warner, M. W., Frame-fuzzy points and membership, Fuzzy Sets and Systems, 42, 335-344 (1991) · Zbl 0741.54005 [11] Warner, M. W.; McLean, R. G., On Compact Hausdorff \(L\)-fuzzy spaces, Fuzzy Sets and Systems, 56, 1, 103-110 (1993) · Zbl 0790.54005 [12] Zhao, D., The N-Compactness in \(L\)-fuzzy topological space, J. Math. Anal. Appl., 128, 64-79 (1987) · Zbl 0639.54006 This reference list is based on information provided by the publisher or from digital mathematics libraries. Its items are heuristically matched to zbMATH identifiers and may contain data conversion errors. It attempts to reflect the references listed in the original paper as accurately as possible without claiming the completeness or perfect precision of the matching.