I-Vague Vector Spaces

Zelalem Teshome Wale (Department of Mathematics, Addis Ababa University)

International Journal of Computing Science and Applied Mathematics
Vol 6, No 2 (2020)

The notions of I-vague vector spaces of vector spaces with membership and non-membership functions taking values in an involutary dually residuated lattice ordered semigroup are introduced which generalizes the notions with truth values in a Boolean algebra as well as those usual vague sets whose membership and non-membership functions taking values in the unit interval [0, 1]. We discuss some properties of I-vague vector spaces.