Galoitica: Journal of Mathematical Structures and Applications GJMSA 2834-5568 10.54216/GJSMA https://www.americaspg.com/journals/show/1765 2022 2022 Cairo University, Cairo, Egypt Rozina Ali University Of Applied Science, Faculty of Literature and Science, Manama, Bahrain Zahraa Hasan The objective of this paper is to define and study for the first time the concept of symbolic 3-plithogenic vector spaces based on symbolic 3-plithogenic sets and classical vector spaces.Also, many related substructures will be defined and handled such as AH-functions, AH-spaces, and symbolic 3-plithogenic basis. 2023 2023 08 12 10.54216/GJMSA.060101 https://www.americaspg.com/articleinfo/33/show/1765