Browse > Article
http://dx.doi.org/10.14317/jami.2022.185

FUZZY COMPACTNESS, FUZZY REGULARITY VIA FUZZY MAXIMAL OPEN AND FUZZY MINIMAL CLOSED SETS  

SWAMINATHAN, A. (Department of Mathematics, Government arts college(Autonomous))
SIVARAJA, S. (Department of Mathematics, Annamalai University)
Publication Information
Journal of applied mathematics & informatics / v.40, no.1_2, 2022 , pp. 185-190 More about this Journal
Abstract
The aim of this article is to define fuzzy maximal open cover and discuss its few properties. we also defined and study fuzzy m-compact space and discussed its properties. Also we obtain few more results on fuzzy minimal c-regular and fuzzy minimal c-normal spaces. We have proved that a fuzzy Haussdorff m-compact space is fuzzy minimal c-normal.
Keywords
Fuzzy minimal open; fuzzy maximal open cover; fuzzy minimal c-regular(resp.c-normal);
Citations & Related Records
Times Cited By KSCI : 1  (Citation Analysis)
연도 인용수 순위
1 A. Swaminathan and S. Sivaraja, Fuzzy cut-point spaces, Annals of Communications in Mathematics 4 (2021), 126-130.
2 Ajoy Mukherjee, More on maximal minimal open and closed sets, Commun.Korean Mth. Soc. 1 (2017), 175-181.   DOI
3 B.M. Ittanagi and R.S. Wali, On fuzzy minimal open and fuzzy maximal open sets inFTSs, International J. of Mathematical Sciences and Application 1 (2011), 1023-1037.
4 A. Swaminathan and S. Sivaraja, On fuzzy maximal, minimal open and closed sets, Advances in Mathematics: Scientific Journal 9 (2020), 7741-7747.   DOI
5 Ajoy Mukharjee, Santanu Raut and Kallol Bhandhu Bagchi, Compactness and regularity via maximal open and minimal closed sets in topological spaces, "Vasile Alecsandri" University of Bacau Faculty of Sciences Scientic Studies and Research Series Mathematics and Informatics 28 (2018), 53-60.
6 A. Swaminathan and S. Sivaraja, Fuzzy maximal and fuzzy minimal clopen sets, Advances in Mathematics: Scientific Journal 9 (2020), 9575-9581.   DOI
7 C.L. Chang, Fuzzy topological spaces, J.Math. Anal. Appl. 24 (1968), 182-190.   DOI
8 P.M. Pu and Y.M. Liu, Fuzzy topology I.Neighbourhood structure of a fuzzy point and Moore-Smith convergence, J.Math.Anal. Appl. 76 (1980), 571-599.   DOI
9 A. Swaminathan, Fuzzy mean open and fuzzy mean closed sets, J. Appl. Math. and Informatics 38 (2020), 463-468.   DOI
10 A. Swaminathan and S. Sivaraja, On fuzzy maximal, minimal and mean open sets, Communicated.
11 L.A. Zadeh, Fuzzy sets, Information and control 8 (1965), 338-353.   DOI