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Some Structure Properties of the Cyclic Fuzzy Group Family

Hacı Aktaş

Gaziosmanpaşa University, Faculty of Science-Art, Department of Mathematics, 60100 Tokat, Turkey

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and

Naim Çağman

Gaziosmanpaşa University, Faculty of Science-Art, Department of Mathematics, 60100 Tokat, Turkey

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https://doi.org/10.1142/S100538670500043XCited by:0 (Source: Crossref)

Abstract

In crisp environment, the notion of cyclic group on a set is well known. We study an extension of this classical notion to the fuzzy sets to define the concept of cyclic fuzzy subgroups. By using these cyclic fuzzy subgroups, we then define a cyclic fuzzy group family and investigate its structure properties.

This work was supported by the Research Fund of Gaziosmanpasa University under grand no. 2003/29.

Keywords:

AMSC: 08A72, 03E72, 94D05

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