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Abstract

We have already studied a correspondence between HX-groups and hypergroups. Now we extend this correspondence to semigroups of sub- sets of a group G (and to begin, we considered ℤ2 × ℤ3 as group G). Moreover these subsets can have non empty intersection, they can be contained, one in another one. One calculates the fuzzy grade and we find always ∂H = 1.

DOI: https://doi.org/10.1515/auom-2017-0020 | Journal eISSN: 1844-0835 | Journal ISSN: 1224-1784
Language: English
Page range: 49 - 64
Submitted on: Mar 1, 2016
Accepted on: May 1, 2016
Published on: Sep 21, 2017
Published by: Ovidius University of Constanta
In partnership with: Paradigm Publishing Services
Publication frequency: 3 times per year

© 2017 Piergiulio Corsini, published by Ovidius University of Constanta
This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.