Fuzzy (strong) congruence relations on hypergroupoids and hyper BCK-algebras
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AMERI, Reza, BAKHSHI, Mahmood, NEMATOLLAHZADEH, SeyyedA., BORZOOEI, Rajab Ali. Fuzzy (strong) congruence relations on hypergroupoids and hyper BCK-algebras . In: Quasigroups and Related Systems, 2007, vol. 15, nr. 2(18), pp. 219-232. ISSN 1561-2848.
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Quasigroups and Related Systems
Volumul 15, Numărul 2(18) / 2007 / ISSN 1561-2848

Fuzzy (strong) congruence relations on hypergroupoids and hyper BCK-algebras

Pag. 219-232

Ameri Reza, Bakhshi Mahmood, NematollahZadeh SeyyedA., Borzooei Rajab Ali
 
 
 
Disponibil în IBN: 15 decembrie 2013


Rezumat

We dene the concept of fuzzy (strong) congruence relations on hyper- groupoids and hyper BCK -algebras and construct a quotient hyperstruc- ture on a hypergroupoid. In particular, we prove that if H is a (semi) hypergroup and R is a fuzzy (strong) congruence relation on H , then H/R is a (semi) group. Finally, by considering the notion of a hyper BCK - algebra, we construct a quotient hyper BCK -algebra.

Cuvinte-cheie
Fuzzy (strong) congruence, Hypergroup, hyper BCK-algebra

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<dc:creator>Ameri, R.</dc:creator>
<dc:creator>Bakhshi, M.</dc:creator>
<dc:creator>NematollahZadeh, S.</dc:creator>
<dc:creator>Borzooei, R.</dc:creator>
<dc:date>2007-06-04</dc:date>
<dc:description xml:lang='en'>We dene the concept of fuzzy (strong) congruence relations on hyper-
groupoids and hyper BCK -algebras and construct a quotient hyperstruc-
ture on a hypergroupoid. In particular, we prove that if H is a (semi)
hypergroup and R is a fuzzy (strong) congruence relation on H , then H/R
is a (semi) group. Finally, by considering the notion of a hyper BCK -
algebra, we construct a quotient hyper BCK -algebra.
</dc:description>
<dc:source>Quasigroups and Related Systems 18 (2) 219-232</dc:source>
<dc:subject>Fuzzy (strong) congruence</dc:subject>
<dc:subject>Hypergroup</dc:subject>
<dc:subject>hyper BCK-algebra</dc:subject>
<dc:title>Fuzzy (strong) congruence relations on hypergroupoids and hyper BCK-algebras
</dc:title>
<dc:type>info:eu-repo/semantics/article</dc:type>
</oai_dc:dc>