Remarks on Fuzzy Minimal Groups

Authors

  • Mehdi Roohi

Keywords:

Fuzzy topological space, induced fuzzy topology, fuzzy continuous function, fuzzy topological group.

Abstract

In this paper, we introduce and investigate some properties of fuzzy minimal groups. It is shown that, the right and the left translations are relatively fuzzy minimal continuous. Moreover, we prove that the inverse image of a fuzzy minimal group under a fuzzy minimal homeomorphism is also a fuzzy minimal group.

Key words and phrases. Fuzzy topological space, induced fuzzy topology, fuzzy continuous function, fuzzy topological group.

2000 Mathematics Subject Classification. 54A40, 03E72

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Published

2025-05-18

How to Cite

Mehdi Roohi. (2025). Remarks on Fuzzy Minimal Groups. Jordan Journal of Mathematics and Statistics, 11(2), 93–105. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/972

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