On $\beta^*$-open and $\beta^*$-closed sets in fuzzy topological space
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Abstract
A new concept of fuzzy $\beta^*$-open and fuzzy $\beta^*$-closed sets in fuzzy topological space is presented in this paper. Also some basic concepts and properties of them are investigated. Some theorems and examples for $\beta^*$-open and $\beta^*$-closed sets are introduced.
Keywords:
\beta^* \text {-open, }, \beta^* \text {-closed, }, \beta \text {-closure, }, fuzzy open.Mathematics Subject Classification:
Mathematics- Pages: 291-294
- Date Published: 01-01-2021
- Vol. 9 No. 01 (2021): Malaya Journal of Matematik (MJM)
Zadeh, L. A. Fuzzy sets. Information and control, $8(3)(1965), 338-353$.
Chang, C. L. Fuzzy topological spaces. Journal of mathematical Analysis and Applications, 24(1)(1968), 182190.
Khalik, A. P. D. M. A., and Hussein, A. K. G. A. On Some Types of Fuzzy Separation Axioms in Fuzzy Topological Space on Fuzzy Sets.
Singal, M. K., and Rajvanshi, N. Regularly open sets in fuzzy topological spaces. Fuzzy sets and systems, $50(3)(1992), 343-353$
Lee, S. J., and Yun, S. M. Fuzzy delta separation axioms. In 2011 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE 2011)(2011, June) 595-602.
Zahran, A. M. Fuzzy $delta$-continuous, Fuzzy almost Regularity (Normality) on Fuzzy Topology No Fuzzy Sets. Fuzzy Mathematics, 3(1)(1995), 89-96.
Mubarki, A. M., Al-Rshudi, M. M., and Al-Juhani, M. A. $beta^*$-Open sets and $beta^*$-continuity in topological spaces. Journal of Taibah University for Science, 8(2)(2014), 142148.
Velicko, N. V. H-closed topological spaces. Amer. Math. Soc. Transl, 78(1968), 103-118.
Al-Hawary, T. Fuzzy M-open sets. Theory and Applications of Mathematics & Computer Science, 7(1)(2017), 72-77.
Azad, K. K. On fuzzy semicontinuity, fuzzy almost continuity and fuzzy weakly continuity. Journal of mathematical analysis and applications, 82(1)(1981), 14-32.
El-Shafei, M. E., and Zakari, A. Theta-Generalized closed sets in fuzzy topological spaces. Arabian Journal for Science and Engineering, 31(2)(2006), 197.
Hanafy, I. M. Fuzzy $gamma$-open sets and fuzzy $gamma$-continuity. J. Fuzzy Math, 7(2)(1999), 419-430.
Othmana, H. A. On fuzzy $theta$-generalized-semi-closed sets. Journal of Advanced Studies in Topology, 7(2)(2016), 8492.
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