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Fuzzy subgroups and similarities

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Abstract

 Given a set S, we show that there is a strict relation between the notion of similarity on S and the one of fuzzy subgroup of transformations in S . Such a relation enables us to extablish a connection between fuzzy subgroups and distances.

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Authors and Affiliations

  1. DMI University of Salerno, 84084 Baronissi (SA), Italy e-mail: formato@udsab.dia.unisa.it, , , , , , IT

    F. Formato

  2. DMI University of Salerno, 84084 Baronissi (SA), Italy e-mail: gerla@matna2.dma.unina.it, , , , , , IT

    G. Gerla

  3. DMI University of Salerno, 84081 Baronissi (SA), Italy e-mail: scarpati@matna3.dma.unina.it, , , , , , IT

    L. Scarpati

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  1. F. Formato
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  2. G. Gerla
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  3. L. Scarpati
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Formato, F., Gerla, G. & Scarpati, L. Fuzzy subgroups and similarities. Soft Computing 3, 1–6 (1999). https://doi.org/10.1007/s005000050085

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  • DOI: https://doi.org/10.1007/s005000050085