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α-separation axioms based on Lukasiewicz logic

Year 2014, Volume: 43 Issue: 2, 259 - 277, 01.04.2014

Abstract

In the present paper, we introduce topological notions defined by means
of α-open sets when these are planted into the framework of Ying’s
fuzzifying topological spaces (by Lukasiewicz logic in [0, 1]). We introduce T
α
0 −, T α
1 −, T α
2 (α- Hausdorff)-, T
α
3 (α-regular)- and T
α
4 (αnormal)-separation axioms. Furthermore, the R
α
0 − and R
α
1 − separation axioms are studied and their relations with the T
α
1 − and T
α
2 −
separation axioms are introduced. Moreover, we clarify the relations
of these axioms with each other as well as the relations with other
fuzzifying separation axioms.

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Year 2014, Volume: 43 Issue: 2, 259 - 277, 01.04.2014

Abstract

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There are 3 citations in total.

Details

Primary Language English
Journal Section Mathematics
Authors

O.r. Sayed This is me

Publication Date April 1, 2014
Published in Issue Year 2014 Volume: 43 Issue: 2

Cite

APA Sayed, O. (2014). α-separation axioms based on Lukasiewicz logic. Hacettepe Journal of Mathematics and Statistics, 43(2), 259-277.
AMA Sayed O. α-separation axioms based on Lukasiewicz logic. Hacettepe Journal of Mathematics and Statistics. April 2014;43(2):259-277.
Chicago Sayed, O.r. “α-Separation Axioms Based on Lukasiewicz Logic”. Hacettepe Journal of Mathematics and Statistics 43, no. 2 (April 2014): 259-77.
EndNote Sayed O (April 1, 2014) α-separation axioms based on Lukasiewicz logic. Hacettepe Journal of Mathematics and Statistics 43 2 259–277.
IEEE O. Sayed, “α-separation axioms based on Lukasiewicz logic”, Hacettepe Journal of Mathematics and Statistics, vol. 43, no. 2, pp. 259–277, 2014.
ISNAD Sayed, O.r. “α-Separation Axioms Based on Lukasiewicz Logic”. Hacettepe Journal of Mathematics and Statistics 43/2 (April 2014), 259-277.
JAMA Sayed O. α-separation axioms based on Lukasiewicz logic. Hacettepe Journal of Mathematics and Statistics. 2014;43:259–277.
MLA Sayed, O.r. “α-Separation Axioms Based on Lukasiewicz Logic”. Hacettepe Journal of Mathematics and Statistics, vol. 43, no. 2, 2014, pp. 259-77.
Vancouver Sayed O. α-separation axioms based on Lukasiewicz logic. Hacettepe Journal of Mathematics and Statistics. 2014;43(2):259-77.