Ordered semihyperrings characterized in terms of multipolar fuzzy hyperideals

Article type: Research Article

Authors: Kazancı, O.^a | Hoskova-Mayerova, S.^{b; *} | Davvaz, B.^c

Affiliations: [a] Department of Mathematics, Karadeniz TechnicalUniversity, Trabzon, Turkey | [b] Department of Mathematics and Physics, Faculty ofMilitary Technology, University of Defence, Brno, CzechRepublic | [c] Department ofMathematical Sciences, Yazd University, Yazd, Iran

Correspondence: [*] Correspondence to: S. Hoskova-Mayerova, Department of Mathematics and Physics, Faculty of Military Technology, University of Defence, 662 10 Brno, Czech Republic. E-mail: [email protected].

Abstract: In recent years, the m-polar fuzziness structure has attracted the attention of researchers and has been commonly applied in algebraic structures. In this article, we present the notion of multi-polar fuzzy hyperideals of ordered semihyperrings, which is a generalization of the concept of bi-polar fuzzy hyperideals of ordered semihyperrings. We investigate some of their associated properties. Furthermore, we characterized regular ordered semihyperring in terms of multi-polar fuzzy quasi-ideals and multi-polar fuzzy bi-ideals.

Keywords: Semihyperring, ordered semihyperring, m-polar fuzzy semihyperring, m-polar fuzzy hyperideals

DOI: 10.3233/JIFS-238654

Journal: Journal of Intelligent & Fuzzy Systems, vol. Pre-press, no. Pre-press, pp. 1-09, 2024