On fuzzy sets having the fuzzy Baire property in fuzzy topological spaces
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In this paper, fuzzy sets having the property of fuzzy Baire in the fuzzy topological spaces are introduced by means of fuzzy first category sets. The conditions for the existence of fuzzy Baireness and fuzzy resolvability of fuzzy topological spaces are established by means of fuzzy sets having the property of fuzzy Baire. It is established that there are no fuzzy sets having the property of fuzzy Baire in fuzzy hyperconnected spaces and fuzzy sets having the property of fuzzy Baire in fuzzy Baire spaces are fuzzy second category sets.
Abstract
In this paper, fuzzy sets having the property of fuzzy Baire in the fuzzy topological spaces are introduced by means of fuzzy first category sets. The conditions for the existence of fuzzy Baireness and fuzzy resolvability of fuzzy topological spaces are established by means of fuzzy sets having the property of fuzzy Baire. It is established that there are no fuzzy sets having the property of fuzzy Baire in fuzzy hyperconnected spaces and fuzzy sets having the property of fuzzy Baire in fuzzy Baire spaces are fuzzy second category sets.
참고문헌 (13)
- L. A. Zadeh, "Inform and Control", 8, pp.338~353 (1965)
- C. L. Chang, "Fuzzy topological spaces", J. Math. Anal, 24, pp.182~190 (1968)
- G. Thangaraj, "On somewhat fuzzy continuous functions", J. Fuzzy Math, 11(2), pp.725~736 (2003)
- G. Thangaraj, "On fuzzy Baire spaces", J. Fuzzy Math, 21(3), pp.667~676 (2013)
- K. K. Azad, "fuzzy almost continuity and fuzzy weakly contiunity", J. Math. Anal. Appl, 52, pp.14~32 (1981)
- M. Athar, "Fuzzy boundary and fuzzy semiboundary", Adv. Fuzzy Sys (2008)[DOI]
- G. Balasubramanian, "Maximal fuzzy topologies", Kybernetika, 31(5), pp.459~464 (1995)
- R. Palani, "Contributions to the study on some aspects of fuzzy Baire spaces", Ph.D., pp.2017
- G. Thangaraj, "On fuzzy simply continuous functions", J. Fuzzy Math, 24(4), pp.99~124 (2016)
- G. Thangaraj, "On fuzzy resolvable and fuzzy irresolvable spaces", Fuzzy Sets, Rough Sets and Multivalued Operations and Appl, 1(2), pp.173~180 (2009)
- Miguel Caldas, "On fuzzy weakly semi-open function, Proyecciones, Universidad Catolica del Norte", Antofagasta-Chile, 21(1), pp.51~63 (2002)
- G. Thangaraj, "Some remarks on fuzzy P-spaces", Gen. Math. Notes, 26(1), pp.8~16 (2015)
- G. Thangaraj, "On fuzzy ∂-spaces", Inter. J. Appl. Engin. Research, 13(15), pp.12417~12421 (2018)