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I-Vague Normal Groups

Year: 2011 Volume: 5 Issue: 12 2015 - 2019 Pages

• Authors:
• Zelalem Teshome Wale

Abstract: 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.

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

I-Vague Groups

Year: 2011 Volume: 5 Issue: 12 1889 - 1894 Pages

• Authors:
• Zelalem Teshome Wale

Abstract: The notions of I-vague 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]. Moreover, various operations and properties are established.

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