EN
Notions of Openness and Closedness for Maps between L-Fuzzy Closure Spaces
Abstract
In this paper the authors introduce and characterize r-open, r-semiopen sets (resp. r-closed, r-semiclosed sets) and open, semiopen and semicontinuous maps (resp. closed, semiclosed maps) in L-fuzzy closure spaces.
Keywords
References
- Chang, C. L. Fuzzy topological spces, J. Math. Anal. Appl. 24, 182–190, 1968.
- Chattopadhyay, K. C., Hazra, R. N. and Sammanta, S. K. Fuzzy topology redefined, Fuzzy Sets and Systems 45, 49–82, 1992.
- Chattopadhyay, K. C., Hazra, R. N. and Sammanta, S. K. Gradation of openness: fuzzy topology, Fuzzy Sets and Systems 49, 237–242, 1992.
- Chattopadhyay, K. C. and Sammanta, S. K. Fuzzy topology: fuzzy closure operator, fuzzy compactness, fuzzy connectdeness, Fuzzy Sets and Systems 54, 207–212, 1993.
- El Gayyar, M. K., Kerre, E. E. and Ramadan, A. A. Almost compactness and near compact- ness in smooth topological spaces, Fuzzy Sets and Systems 62, 193–202, 1994.
- Ghanim, M. H. and Hasan, H. M. L-closure spaces, Fuzzy sets and systems 33, 154–170, 1989.
- Ghanim, M. H. and Mashhour, A. M. Fuzzy closure spaces, J. Math. Anal. Appl. 106, 154– 170, 1985.
- Goguen, J. A. The fuzzy Tychonoff theoem, J. Math. Anal. Appl. 43, 734–742, 1973.
Details
Primary Language
English
Subjects
Statistics
Journal Section
Research Article
Publication Date
February 1, 2006
Submission Date
May 12, 2014
Acceptance Date
-
Published in Issue
Year 2006 Volume: 35 Number: 2
APA
Zahran, A. M., Abd-allah, M. A., & Abd-rahman, A. E.- n. G. (2006). Notions of Openness and Closedness for Maps between L-Fuzzy Closure Spaces. Hacettepe Journal of Mathematics and Statistics, 35(2), 161-172. https://izlik.org/JA33CZ49BZ
AMA
1.Zahran AM, Abd-allah MA, Abd-rahman AE n. G. Notions of Openness and Closedness for Maps between L-Fuzzy Closure Spaces. Hacettepe Journal of Mathematics and Statistics. 2006;35(2):161-172. https://izlik.org/JA33CZ49BZ
Chicago
Zahran, A. M., M. Azab Abd-allah, and A. El-n. G. Abd-rahman. 2006. “Notions of Openness and Closedness for Maps Between L-Fuzzy Closure Spaces”. Hacettepe Journal of Mathematics and Statistics 35 (2): 161-72. https://izlik.org/JA33CZ49BZ.
EndNote
Zahran AM, Abd-allah MA, Abd-rahman AE- n. G (February 1, 2006) Notions of Openness and Closedness for Maps between L-Fuzzy Closure Spaces. Hacettepe Journal of Mathematics and Statistics 35 2 161–172.
IEEE
[1]A. M. Zahran, M. A. Abd-allah, and A. E.- n. G. Abd-rahman, “Notions of Openness and Closedness for Maps between L-Fuzzy Closure Spaces”, Hacettepe Journal of Mathematics and Statistics, vol. 35, no. 2, pp. 161–172, Feb. 2006, [Online]. Available: https://izlik.org/JA33CZ49BZ
ISNAD
Zahran, A. M. - Abd-allah, M. Azab - Abd-rahman, A. El-n. G. “Notions of Openness and Closedness for Maps Between L-Fuzzy Closure Spaces”. Hacettepe Journal of Mathematics and Statistics 35/2 (February 1, 2006): 161-172. https://izlik.org/JA33CZ49BZ.
JAMA
1.Zahran AM, Abd-allah MA, Abd-rahman AE- n. G. Notions of Openness and Closedness for Maps between L-Fuzzy Closure Spaces. Hacettepe Journal of Mathematics and Statistics. 2006;35:161–172.
MLA
Zahran, A. M., et al. “Notions of Openness and Closedness for Maps Between L-Fuzzy Closure Spaces”. Hacettepe Journal of Mathematics and Statistics, vol. 35, no. 2, Feb. 2006, pp. 161-72, https://izlik.org/JA33CZ49BZ.
Vancouver
1.A. M. Zahran, M. Azab Abd-allah, A. El-n. G. Abd-rahman. Notions of Openness and Closedness for Maps between L-Fuzzy Closure Spaces. Hacettepe Journal of Mathematics and Statistics [Internet]. 2006 Feb. 1;35(2):161-72. Available from: https://izlik.org/JA33CZ49BZ