A New View of Fuzzy Vector Space over Fuzzy Field

Authors

  • Esmaeel Ranjbar-Yanehsari
  • Mohsen Asghari-Larimi

Keywords:

Fuzzy binary relation, Fuzzy group, Fuzzy ring, Fuzzy field, Fuzzy vector space.

Abstract

In this paper, we determine a new view of fuzzy vector space over fuzzy field by using Yuan and Lee’s definition of the fuzzy group, Akta¸s and Ca˘gman’s definition of fuzzy ring and Yetkin and Olgun’s definition of fuzzy module. Moreover the concepts of fuzzy vector subspace are studied and some of their basic properties are presented as analogous to ordinary vector space theory.

Key words and phrases. Fuzzy binary relation, Fuzzy group, Fuzzy ring, Fuzzy field, Fuzzy vector space.

2000 Mathematics Subject Classification. 12K99, 15A03, 03E72

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Published

2025-05-18

How to Cite

Esmaeel Ranjbar-Yanehsari, & Mohsen Asghari-Larimi. (2025). A New View of Fuzzy Vector Space over Fuzzy Field. Jordan Journal of Mathematics and Statistics, 11(3), 193–210. Retrieved from https://jjms.yu.edu.jo/index.php/jjms/article/view/967

Issue

Vol. 11 No. 3 (2018)

Section

Articles