Multiplicative F^(m,n)-Hyperrings

Article type: Research Article

Authors: Farshi, M. | Davvaz, B.^*

Affiliations: Department of Mathematics, Yazd University, Yazd, Iran

Correspondence: [*] Corresponding author. B. Davvaz, Department of Mathematics, Yazd University, Yazd, Iran. Tel.: +983531232711; Fax: +983538210644; E-mail: davvaz@yazd.ac.ir.

Abstract: In this article, after describing some examples to explain the concept of fuzzy multiplicative (m, n)-hyperrings (F(m,n)-hyperrings), we will offer some related properties. Also, by defining F-hyperideals and regular relations, we will study the quotient of multiplicative F(m,n)-hyperrings. Finally, we will generalize the classical isomorphism theorems of groups to multiplicative F(m,n)-hyperrings.

Keywords: Fⁿ-hyperoperation, F^m-polygroup, Fⁿ-semihypergroup, multiplicative F^(m,n)-hyperring, F-hyperideal

DOI: 10.3233/IFS-162151

Journal: Journal of Intelligent & Fuzzy Systems, vol. 31, no. 1, pp. 379-390, 2016