An algebraic perspective on neutrosophic sets: fields and linear spaces

Journal of Linear and Topological Algebra

دوره 10، شماره 03، آذر 2021، صفحه 187-198   

نوع مقاله: Research Paper

نویسندگان

V. Cetkin؛ B. Pazar Varol^* ؛ H. Aygun

Department of Mathematics, Kocaeli University, 41001, Kocaeli, Turkey

چکیده

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.

کلیدواژه‌ها

Neutrosophic set؛ single valued neutrosophic set؛ field؛ homomorphism؛ linear space

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