e99709c4-d833-4e2a-a76c-b45f7390522f20241106064244121wseas:wseasmdt@crossref.orgMDT DepositPROOF2732-99412944-916210.37394/232020https://wseas.com/journals/proof/index.php32120243212024410.37394/232020.2024.4https://wseas.com/journals/proof/2024.phpFrancisco GallegoLupiáñezDepartment of Mathematics University Complutense Ciudad Universitaria, Madrid 28040 SPAINWe show here some results on covering properties in intuitionistic fuzzy topological spaces. In 1983, K.T. Atanassov proposed a generalization of the notion of fuzzy set: the concept of intuitionistic fuzzy set. D. Çoker constructed the fundamental theory on intuitionistic fuzzy topological spaces, and D. Çoker and other mathematicians studied compactness, connectedness, continuity, separation, convergence and paracompactness in intuitionistic fuzzy topological spaces. Finally, G.-J Wang and Y.Y. He showed that every intuitionistic fuzzy set may be regarded as an L-fuzzy set for some appropriate lattice L. Nevertheless, the results obtained by above authors are not redundant with other for ordinary fuzzy sense.1162024116202469745https://wseas.com/journals/proof/2024/a10proof-005(2024).pdf10.37394/232020.2024.4.5https://wseas.com/journals/proof/2024/a10proof-005(2024).pdfK.T. Atanassov, Intuitionistic fuzzy sets, in VII ITKR's Session, Sofia (June 1983). 10.1016/s0165-0114(86)80034-3K.T. Atanassov, Intuitionistic fuzzy sets, Fuzzy Sets Syst 1986, 20, 87-96 K.T. Atanassov, On four intuitionistic fuzzy topological operators, Mathware Soft Comput. 2001, 8, 65-70. K.T. Atanassov, On Intuitionistic Fuzzy Sets Theory, Springer-Verlag: Heidelberg, 2012 D. Çoker, and M. Demirci. On intuitionistic fuzzy points, Notes IFS, 1995 1, 2, 79-84 10.1016/s0165-0114(96)00076-0D. Çoker, An introduction to intuitionistic fuzzy topological spaces, Fuzzy Sets Syst.1997, 88, 81-89. 10.1016/s0165-0114(96)00076-0D. Çoker, An introduction to fuzzy subspaces in intuitionistic fuzzy topological spaces, J. 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