A Short Note on the Orthogonality in Fuzzy Metric Spaces

Authors

  • H. Mazaheri
  • B. Davvaz

Keywords:

Fuzzy metric space, fuzzy orthogonality, t-best approximation, t-best coapproximation.

Abstract

The purpose of this paper is to introduce and discuss the concept of orthogonality in the fuzzy metric spaces. At last we introduce and discuss the concept of orthogonality in the fuzzy normed spaces, and obtain some results on orthogonality in fuzzy normed spaces similar to orthogonality in normed spaces.

Key words and phrases. Fuzzy metric space, fuzzy orthogonality, t-best approximation, t-best coapproximation.

2000 Mathematics Subject Classification. 54A40, 54E35, 54H25, 54B20

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Published

2025-05-18

How to Cite

H. Mazaheri, & B. Davvaz. (2025). A Short Note on the Orthogonality in Fuzzy Metric Spaces. Jordan Journal of Mathematics and Statistics, 5(4), 241–249. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/1126

Issue

Vol. 5 No. 4 (2012)

Section

Articles