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Proyecciones (Antofagasta)

Print version ISSN 0716-0917

Abstract

RUI SHI, Shu. MEASURES OF FUZZY SUBGROUPS. Proyecciones (Antofagasta) [online]. 2010, vol.29, n.1, pp.41-48. ISSN 0716-0917.  http://dx.doi.org/10.4067/S0716-09172010000100005.

In this paper, we introduce the notion of degree to which a fuzzy subset is a fuzzy subgroup by means of the implication operator of [0, 1]. A fuzzy subset µ in a group G is a fuzzy subgroup if and only if its subgroup degree mg(µ) = 1. Some properties of subgroup degrees are investigated.

Keywords : Fuzzy subgroup; implication operator; subgroup degree.

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