Volume 7 , Issue 2 , PP: 46-52, 2023 | Cite this article as | XML | Html | PDF | Full Length Article
Ahmed Hatip 1 * , Necati Olgun 2
Doi: https://doi.org/10.54216/JNFS.070205
The concept of two-fold algebras is generated by merging some special sets such as fuzzy sets, neutrosophic sets or plithogenic sets with various algebraic structures. The main objective of this research paper is to provide a strict mathematical definition and a general study of two-fold fuzzy vector spaces defined over the real numbers and also two-fold fuzzy vector spaces defined over the complex numbers, as well as two-fold fuzzy algebraic modules defined over commutative rings with unity. The elementary properties and algebraic operations of those structures will be explained through many theorems and mathematical proofs.
two-fold fuzzy algebra , two-fold fuzzy vector space , two-fold fuzzy module
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