An algebraic perspective on neutrosophic sets: fields and linear spaces

Çetkin V., Pazar Varol B., Aygün H.

Journal of Linear and Topological Algebra, vol.10, no.3, pp.187-198, 2021 (Peer-Reviewed Journal)

  • Publication Type: Article / Article
  • Volume: 10 Issue: 3
  • Publication Date: 2021
  • Journal Name: Journal of Linear and Topological Algebra
  • Journal Indexes: Academic Search Premier, zbMATH
  • Page Numbers: pp.187-198
  • Kocaeli University Affiliated: Yes


In this work, we intend to introduce and study another algebraic structure of single-valued neutrosophic sets called neutrosophic field as a continuation of our investigations on neutrosophic algebraic structures. For this goal, we define the concept of neutrosophic fields and observe some of their basic characteristics and properties. Then we give the definition of a neutrosophic linear space over the proposed neutrosophic field and consider its fundamental properties.