Fuzzy Γ-hyperrings and fuzzy Γ-hypermodules

Issue title: Recent Advances in Soft Computing: Theories and Applications

Article type: Research Article

Authors: Leoreanu-Fotea, V. | Zhan, Jianming | Leoreanu, L.

Affiliations: Faculty of Mathematics, Al.I Cuza University, Carol I Street, Iasi, Romania | Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei Province, P.R. China | Roman Voda National College, Roman, Romania

Note: [] Corresponding author. V. Leoreanu-Fotea, Faculty of Mathematics, Al.I Cuza University, Carol I Street, n.11, Iasi, Romania. E-mail: leoreanu2002@yahoo.com

Abstract: In this paper, the concepts of fuzzy Γ-hyperrings and fuzzy Γ-hypermodules are introduced as a generalization of fuzzy hyperrings and fuzzy hypermodules. An algebraic study is initiated, which contains several characterization theorems.

Keywords: Fuzzy Γ-hypering, fuzzy Γ-hypermodule

DOI: 10.3233/IFS-2012-0584

Journal: Journal of Intelligent & Fuzzy Systems, vol. 24, no. 3, pp. 647-655, 2013