Fuzzy Anti-normed Spaces


  • Dunia Ameen Abd alsaheb College of Computer Science and Information Technology . Al-Qadisah University , Diwaniyah-Iraq
  • Noori Farhan Al Mayahi Department of Mathematics,”“College of Science”“University of Al-Qadisiyah,Diwaniyah -Iraq




: fuzzy anti-normed space, fuzzy anti-convergence


In this paper the definition of fuzzy anti-norm is modified the authors have studied some properties of convergence and continuity in fuzzy anti-normed spaces. Firstly, the authors have given some definitions and theorems, such as fuzzy anti-normed, fuzzy anti–continuous, and fuzzy anti-convergent sequence and Cauchy sequence on fuzzy anti-normed space and definitions of open ball and closed ball. The authors have presented some examples by using these definitions. Additionally, the authors have given a definition, sequentially fuzzy anti-continuous. and some of their properties are studied.


Download data is not yet available.


T. Bag and T.K. Samanta, finite-dimensional fuzzy normed linear space, the Journal of fuzzy mathematics,11 (3)(2003) 687-705.

T. Bag and T. K. Samanta, Fuzzy bounded linear operators, Fuzzy Sets and Systems, 151 (2005), 513- 547.

T. Bag and T. K. Samanta, A comparative study of fuzzy norms on a linear space, Fuzzy Sets and Systems 159 (2008), 670-684.

A.K. Katsaras, Fuzzy topological vector spaces, Fuzzy Sets and Systems, 12 (1984), 143-154.

S. C. Cheng and J. N. Mordesen, Fuzzy linear operators and fuzzy normed linear spaces, Bull. Cal. Math. Soc., 86 (1994), 429-436.

C. Felbin, Finite dimensional fuzzy normed linear spaces, Fuzzy Sets, and Systems, 48 (1992) 239-248.

I. Kramosil, and J. Michalek, Fuzzy metric and statistical metric space, Kybernetica, 11 (1975), 326-334.

O. Kaleva and S. Seikkala, On fuzzy metric spaces, Fuzzy Sets and Systems, 12 (1984), 215-229.

Iqbal H. Jebril & Samanta, T. K. (2010). Fuzzy Anti-Normed Space, Journal of Mathematics Technology, February, 66-77.

L. Kocinac, Some topological properties of fuzzy antinormed linear spaces, J. Math. (2018).

Nadaban, S. 2015. Fuzzy continuous mapping in fuzzy normed linear spaces, I. J. Computer Communications and Control, 10(6): 834-842.

Jehad R. Kider and Ahmed H. Ali. 2018. Properties of fuzzy absolute value on and properties finite dimensional fuzzy normed space. Iraqi Journal of Science, 59(2B): 909-916




How to Cite

Ameen Abd alsaheb , D., & Farhan Al Mayahi , N. (2024). Fuzzy Anti-normed Spaces. Journal of Al-Qadisiyah for Computer Science and Mathematics, 16(1), Math. 65–78. https://doi.org/10.29304/jqcsm.2024.16.11449



Math Articles