Journal of Neutrosophic and Fuzzy Systems JNFS 2771-6449 2771-6430 10.54216/JNFS https://www.americaspg.com/journals/show/1006 2021 2021 Gaziantep University, Turkey Mikail Bal Department of Computer science and Engineering, Gandhi institute of Technology and Management-Visakhapatnam 530045, India Prem Kumar Singh Islamic university Of Gaza, Palestine Katy D. Ahmad This paper is dedicated to define for the first time the concept of Symbolic Turiyam vector space as a generalization of the corresponding neutrosophic one by using the algebra of symbolic Turiyam set. Also, we illustrate many examples to show and clarify the validity of this work. 2022 2022 76 87 10.54216/JNFS.020107 https://www.americaspg.com/articleinfo/24/show/1006