<abstract xmlns="http://www.w3.org/1999/xhtml"> 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. </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.

Hypergroups associated with HX-groups

Analele ştiinţifice ale Universităţii "Ovidius" Constanţa. Seria Matematică

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{"article-title":"Hypergroups associated with HX-groups"}

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...

Hypergroups associated with HX-groups

Published Online: Sep 21, 2017

Page range: 49 - 64

Received: Mar 01, 2016

Accepted: May 01, 2016

DOI: https://doi.org/10.1515/auom-2017-0020

Keywords
HX-group, Fuzzy grade

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Hypergroups associated with HX-groups

Published Online: Sep 21, 2017

Page range: 49 - 64

Received: Mar 01, 2016

Accepted: May 01, 2016

DOI: https://doi.org/10.1515/auom-2017-0020

KeywordsHX-group, Fuzzy grade

© 2017

This work is licensed under the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 License.

Keywords
HX-group, Fuzzy grade