I-Vague Normal Groups

The notions of I-vague normal groups with membership and non-membership functions taking values in an involutary dually residuated lattice ordered semigroup are introduced which generalize 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]. Various operations and properties are established.

Authors:

• Zelalem Teshome Wale

Keywords:

• Involutary dually residuated lattice ordered semigroup
• I-vague set
• I-vague group and I-vague normal group.

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