On Fuzzy Hypergroups

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 1997 Italy Publisher:De Gruyter (Sciendo), Warsaw; Corvinus University of Budapest, Department of Mathematics ; University of Siena, Department of Mathematics; SAAS Ltd., Budapest

Authors: CORSINI, Piergiulio; TOFAN I.;

handle: 11390/687547

On Fuzzy Hypergroups

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Abstract

The paper deals with fuzzy sets and hyperstructures. It is a new growing field and the paper focuses on \(f\)-hypergroups. In a set equipped with an \(f\)-hyperoperation the associativity and the reproductivity are studied. The relations of the defined classes of fuzzy hypergroups are presented and equivalent conditions, on hypergroups defined on the same set, are obtained.

Country

Italy

Related Organizations

University of Udine
Italy

Keywords

fuzzy sets, reproductivity, associativity, Fuzzy groups, fuzzy hypergroups, Hypergroups

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