Generalized fuzzy $n$-ary subhypergroups of a commutative $n$-ary hypergroup

In: Mathematica Slovaca, vol. 62, no. 2

Yunqiang Yin - Jianming Zhan - Xiaokun Huang

Detaily:

Rok, strany: 2012, 201 - 230

Kľúčové slová:

$n$-ary hypergroups, (invertible) $(\in,\ivq)$-fuzzy $n$-ary hypergroups, $n$-ary quotient hypergroups, homomorphism

DOI: https://doi.org/10.2478/s12175-012-0004-2

O článku:

In this paper, by means of a new idea, the concept of (invertible) $(\in,\ivq)$-fuzzy $n$-ary subhypergroups of a commutative $n$-ary hypergroup is introduced and some related properties are investigated. A kind of $n$-ary quotient hypergroup by an $(\in,\ivq)$-fuzzy $n$-ary subhypergroup is provided and the relationships among $(\in,\ivq)$-fuzzy $n$-ary subhypergroups, $n$-ary quotient hypergroups and homomorphism are investigated. Several isomorphism theories of $n$-ary hypergroups are established.

Ako citovať:

ISO 690:

Yin, Y., Zhan, J., Huang, X. 2012. Generalized fuzzy $n$-ary subhypergroups of a commutative $n$-ary hypergroup. In Mathematica Slovaca, vol. 62, no.2, pp. 201-230. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0004-2

APA:

Yin, Y., Zhan, J., Huang, X. (2012). Generalized fuzzy $n$-ary subhypergroups of a commutative $n$-ary hypergroup. Mathematica Slovaca, 62(2), 201-230. 0139-9918. DOI: https://doi.org/10.2478/s12175-012-0004-2

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