On Fuzzy Statistical (O)-Convergence in Fuzzy Riesz Spaces

Authors

  • Shatha Abdul-Hussein Kadhim Department of Mathematics, Collage of Sciences, University of Basrah, Basrah, Iraq

Keywords:

Fuzzy Riesz spaces, Fuzzy order convergence, Fuzzy statistical (O)-convergence, Fuzzy statistical Cauchy sequence

Abstract

In this paper, we present the concepts of fuzzy order convergence, fuzzy statistical (O)-Convergence (Fso-Convergence), and fuzzy statistical Cauchy sequence in fuzzy Riesz spaces, their fundamental properties are established, some important theorems are given, and show every (Fso-Convergence) can be fuzzy statistical Cauchy and prove that any one of two sequences is fuzzy order converge leads to the second sequence is fuzzy statistical (O)-Convergence. In addition, we have also demonstrated through examples that, in general, “fuzzy ordered linear space, need not to be a fuzzy Riesz spaces”.

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Published

2020-09-26

Issue

Section

Articles

How to Cite

(1)
On Fuzzy Statistical (O)-Convergence in Fuzzy Riesz Spaces. ANJS 2020, 23 (3), 61-67.