I-Vague Vector Spaces
Keywords:
Involutary dually residuated lattice ordered semigroup, I-vague sets, I-vague vector spacesAbstract
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.
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