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http://dx.doi.org/10.14317/jami.2021.743

SOME REMARKS ON FUZZY MEAN OPEN, CLOSED AND CLOPEN SETS  

SWAMINATHAN, A. (Department of Mathematics, Government Arts College(Autonomous))
SANKARI, M. (Department of Mathematics, Lekshmipuram College of Arts and Science)
Publication Information
Journal of applied mathematics & informatics / v.39, no.5_6, 2021 , pp. 743-749 More about this Journal
Abstract
The purpose of this article is to study few properties of fuzzy mean open and fuzzy mean closed sets in fuzzy topological spaces. Further, the idea of fuzzy mean clopen set is introduced. It is observed that a fuzzy mean clopen set is both fuzzy mean open and fuzzy mean closed but the converse is not true.
Keywords
Fuzzy minimal open set; fuzzy maximal open set; fuzzy mean open set; fuzzy mean closed set; fuzzy mean clopen set;
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1 Ajoy Mukharjee and Kallol Bhandhu Bagchi, On mean open and closed sets, Kyungpook Math. J. 56 (2016), 1259-1265.   DOI
2 Ajoy Mukharjee and Kallol Bhandhu Bagchi, Some results on mean open, closed and clopen sets, Hacettepe J. Mathematics and Statistics 47 (2018), 101-106.
3 C.L. Chang, Fuzzy topological spaces, J. Math. Anal. Appl. 24 (1968), 182-190.   DOI
4 B.M. Ittanagi and R.S. Wali, On fuzzy minimal open and fuzzy maximal open sets in fuzzy topological spaces, International J. of Mathematical Sciences and Applications 1 (2011), 1023-1037.
5 F. Nakaoka and N. Oda, Minimal closed sets and maximal closed sets, International Journal of Mathematics and Mathematical Sciences 2006 (2006), 1-8.
6 A. Swaminathan, Fuzzy mean open and fuzzy mean closed sets, J. Appl. Math. and Informatics 38 (2020), 463-468.   DOI
7 A. Swaminathan and S. Sivaraja, Fuzzy maximal and fuzzy minimal clopen sets, Advances in Mathematics: Scientific Journal 9 (2020), 9575-9581.   DOI
8 L.A. Zadeh, Fuzzy sets, Information and control 8 (1965), 338-353.   DOI
9 F. Nakaoka and N. Oda, Some Properties of Maximal Open Sets, International Journal of Mathematics and Mathematical Sciences 21 (2003), 1331-1340.