Journal of Neutrosophic and Fuzzy Systems JNFS 2771-6449 2771-6430 10.54216/JNFS https://www.americaspg.com/journals/show/1007 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 Recently, Turiyam set is introduced to deal with data set beyond three-way fuzzy space. In this process a problem is addressed while precise representation of Turiyam attributes in matrix format for knowledge processing tasks. To resolve this issue, current paper defines concept of symbolic Turiyam matrix by using the symbolic Turiyam set concept. In addition, the paper illustrates several examples to clarify the algebraic structure of these matrices such as addition, multiplication, and symmetry of these matrices. 2022 2022 88 99 10.54216/JNFS.020108 https://www.americaspg.com/articleinfo/24/show/1007