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Open AccessArticle

The Unbounded Fuzzy Order Convergence in Fuzzy Riesz Spaces

1
Department of Mathematics, Quaid-i-Azam University, Islamabad 45320, Pakistan
2
Universal College of Learning, Palmerston North 4442, New Zealand
3
Faculty of Mathematics, COMSATS University Islamabad, Wah Campus 47040, Pakistan
*
Author to whom correspondence should be addressed.
Symmetry 2019, 11(8), 971; https://doi.org/10.3390/sym11080971
Received: 12 June 2019 / Revised: 8 July 2019 / Accepted: 9 July 2019 / Published: 1 August 2019
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PDF [244 KB, uploaded 1 August 2019]

Abstract

The fuzzy order convergence in fuzzy Riesz spaces is defined only for fuzzy order bounded nets. The aim of this paper is to define and study unbounded fuzzy order convergence and some of its applications. Furthermore, some theoretical concepts like the fuzzy weak order unit and fuzzy ideals are studied in relation to unbounded fuzzy order convergence. View Full-Text
Keywords: fuzzy Riesz space; fuzzy order convergence; unbounded fuzzy order convergence; fuzzy weak order unit fuzzy Riesz space; fuzzy order convergence; unbounded fuzzy order convergence; fuzzy weak order unit
This is an open access article distributed under the Creative Commons Attribution License which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited (CC BY 4.0).
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Iqbal, M.; Malik, M.G.A.; Bashir, Y.; Bashir, Z. The Unbounded Fuzzy Order Convergence in Fuzzy Riesz Spaces. Symmetry 2019, 11, 971.

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