aspg-24-1007-1791482083 20261008175443 American Scientific Publishing Group admin@americaspg.com American Scientific Publishing Group Journal of Neutrosophic and Fuzzy Systems JNFS 2771-6430 2771-6449 2022 2 1 Mikail Bal Gaziantep University, Turkey Prem Kumar Singh Department of Computer science and Engineering, Gandhi institute of Technology and Management-Visakhapatnam 530045, India Katy D. Ahmad Islamic university Of Gaza, Palestine 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 88 99 1007 https://creativecommons.org/licenses/by/4.0/ 10.54216/JNFS.020108 https://www.americaspg.com/journal/24/article/1007 https://www.americaspg.com/storage/4407.pdf