An overview of topological and fuzzy topological hypergroupoids

Result code in IS VaVaI
<a href="https://www.isvavai.cz/riv?ss=detail&h=RIV%2F60162694%3AG43__%2F17%3A00534904" target="_blank" >RIV/60162694:G43__/17:00534904 - isvavai.cz</a>
Result on the web
<a href="http://eiris.it/ojs/index.php/ratiomathematica/article/view/389" target="_blank" >http://eiris.it/ojs/index.php/ratiomathematica/article/view/389</a>
DOI - Digital Object Identifier
<a href="http://dx.doi.org/10.23755/rm.v33i0.389" target="_blank" >10.23755/rm.v33i0.389</a>

Result language
angličtina
Original language name
An overview of topological and fuzzy topological hypergroupoids
Original language description
On a hypergroup, one can define a topology such that the hyperoperation is pseudocontinuous or continuous. This concepts can be extend to the fuzzy case and a connection between the classical and the fuzzy (pseudo)continuous hyperoperations can be given. This paper, that is his an overview of results received by S. Hoskova-Mayerova with coauthors I. Cristea, M. Tahere and B. Davaz, gives examples of topological hypergroupoids and show that there is no relation (in general) between pseudotopological and strongly pseudotopological hypergroupoids. In particular, it shows a topological hypergroupoid that does not depend on the pseudocontinuity nor on strongly pseudocontinuity of the hyperoperation.
Czech name
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Czech description
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Project
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Continuities
I - Institucionalni podpora na dlouhodoby koncepcni rozvoj vyzkumne organizace

Publication year
2017
Confidentiality
S - Úplné a pravdivé údaje o projektu nepodléhají ochraně podle zvláštních právních předpisů

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