An Introduction to The Symbolic 3-Plithogenic Vector Spaces

Rozina Ali, Zahraa Hasan

^.Cairo University, Cairo, Egypt

University Of Applied Science, Faculty of Literature and Science, Manama, Bahrain

Emails: rozyyy123n@gmail.com; Zahraamathscience1243@gmail.com

Abstract

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.

Keywords: 3-plithogenic symbolic set; 3-plithogenic vector space; 3-plithogenic dimension