Some Properties of Algebra Fuzzy Metric Space
DOI:
https://doi.org/10.29304/jqcm.2020.12.2.695Keywords:
Algebra fuzzy metric space, Open fuzzy ball, Fuzzy open set, Fuzzy convergence of sequences.Abstract
Our goal in the present paper is to introduce new type of fuzzy metric space called algebra fuzzy metric space after that some examples is introduced to illustrate this notion. Then basic properties of algebra fuzzy metric space is proved.
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References
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[5] S. Nadaban, Fuzzy continuous mapping in fuzzy normed linear spaces, I. J. Computer
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[6] J, Kider and N. Kadhum, 2017 Properties of fuzzy norm of fuzzy bounded operators, Iraqi
Journal of Science, 58(3A)(2017),1237-1281.
[7]N. Kadhum , On fuzzy norm of a fuzzy bounded operator on fuzzy normed spaces, M.Sc. Thesis
2017, University of Technology, Iraq.
[8] A. Ali, Properties of Complete Fuzzy Normed Algebra, M.Sc. Thesis 2018, University of
Technology, Iraq.
[9]J. Kider and A. Ali , Properties of fuzzy absolute value on and properties finite dimensional
Fuzzy normed space. Iraqi Journal of Science, 59(2B)(2018), 909-916.
[10] J. Kider and M. Gheeab, Properties of a General Fuzzy Normed Space, Iraqi Journal of
Science 60(4)(2019), 847-855 .
[11] J. Kider and M. Gheeab, Properties of The Space GFB(V, U), Journal of AL-Qadisiyah for
computer science and mathematics, 11(1)(2019),102-110
[12] J. Kider and N. Kadhum, Properties of Fuzzy Compact Linear Operators on Fuzzy Normed
Spaces, Baghdad Science Journal, 16(1)(2019),104-110.
[13] A. Šostak, George-Veeramani Fuzzy Metrics Revised, Axioms, 7(60)(2018), 1-6.
[14] V. Gregori, I. Crevillén, S. Morillas and A. Sapena, On convergence in fuzzy metric Spaces,
Topology and its Applications 156 (2009), 3002–3006.
[15 ] E. Hussin, On some properties of finite dimensional fuzzy antinormed spaces and Fuzzy
antiinner product spaces, M. Sc. Theses, Department of Mathematics, College of Sciences for
Women, University of Baghdad, 2019.
[2] J. Kider, On fuzzy normed spaces, Eng. & Tech. Journal, 29(9)(2011),1790-1795.
[3] J. Kider, Completion of fuzzy normed spaces, Eng. & Tech. Journal, 29(10)(2011)2004-2012.
[4] J. Kider, New fuzzy normed spaces, J. Baghdad Sci., 9(2012), 559-564.
[5] S. Nadaban, Fuzzy continuous mapping in fuzzy normed linear spaces, I. J. Computer
Communications and Control, 10 (6)(2015) 834-842.
[6] J, Kider and N. Kadhum, 2017 Properties of fuzzy norm of fuzzy bounded operators, Iraqi
Journal of Science, 58(3A)(2017),1237-1281.
[7]N. Kadhum , On fuzzy norm of a fuzzy bounded operator on fuzzy normed spaces, M.Sc. Thesis
2017, University of Technology, Iraq.
[8] A. Ali, Properties of Complete Fuzzy Normed Algebra, M.Sc. Thesis 2018, University of
Technology, Iraq.
[9]J. Kider and A. Ali , Properties of fuzzy absolute value on and properties finite dimensional
Fuzzy normed space. Iraqi Journal of Science, 59(2B)(2018), 909-916.
[10] J. Kider and M. Gheeab, Properties of a General Fuzzy Normed Space, Iraqi Journal of
Science 60(4)(2019), 847-855 .
[11] J. Kider and M. Gheeab, Properties of The Space GFB(V, U), Journal of AL-Qadisiyah for
computer science and mathematics, 11(1)(2019),102-110
[12] J. Kider and N. Kadhum, Properties of Fuzzy Compact Linear Operators on Fuzzy Normed
Spaces, Baghdad Science Journal, 16(1)(2019),104-110.
[13] A. Šostak, George-Veeramani Fuzzy Metrics Revised, Axioms, 7(60)(2018), 1-6.
[14] V. Gregori, I. Crevillén, S. Morillas and A. Sapena, On convergence in fuzzy metric Spaces,
Topology and its Applications 156 (2009), 3002–3006.
[15 ] E. Hussin, On some properties of finite dimensional fuzzy antinormed spaces and Fuzzy
antiinner product spaces, M. Sc. Theses, Department of Mathematics, College of Sciences for
Women, University of Baghdad, 2019.
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Published
2020-07-10
How to Cite
Kider, J. R. (2020). Some Properties of Algebra Fuzzy Metric Space. Journal of Al-Qadisiyah for Computer Science and Mathematics, 12(2), Math Page 43– 56. https://doi.org/10.29304/jqcm.2020.12.2.695
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Math Articles
