VAGUE GROUPS AND Ω-VAGUE GROUPS

Kiran R. Bhutani () and John N. Mordeson ()
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Kiran R. Bhutani: Department of Mathematics, The Catholic University of America, Washington DC 20064, USA
John N. Mordeson: Department of Mathematics, Creighton University, Omaha, Nebraska 68178, USA

New Mathematics and Natural Computation (NMNC), 2005, vol. 01, issue 02, 229-242

Abstract: Given a groupG, we show how one can define a vague group structure onGvia a chain of subgroups ofG. We discuss how a group homomorphismffrom a vague groupXonto a groupYinduces a vague group structure onYwithfsatisfying the vague homomorphism property. The notion of Ω-vague groups is introduced, where Ω is a fuzzy subset. The direct productG1× G2of two vague groups and the internal vague direct product of subgroups of a vague group is introduced.

Keywords: Vague group; fuzzy equality; vague binary operations; vague homomorphism (search for similar items in EconPapers)
Date: 2005
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DOI: 10.1142/S1793005705000135

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