Falling fuzzy ideals of hemirings

Article type: Research Article

Authors: Yu, Bin | Zhan, Jianming

Affiliations: Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei Province, P.R. China

Note: [] Corresponding author. Jianming Zhan, Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei Province, P.R. China. Tel: +867188437732; Fax: +867188437732; E-mails: [email protected] (B. Yu); [email protected] (J. Zhan).

Abstract: Based on the theory of falling shadows and fuzzy sets, the notion of falling fuzzy ideals of a hemiring is introduced. The relations between fuzzy ideals and falling fuzzy ideals are provided. Finally, we apply the concept of falling fuzzy inference relations to hemirings and obtain an important result.

Keywords: Falling shadow, ideal, fuzzy ideal, falling fuzzy ideal, falling fuzzy inference relation

DOI: 10.3233/IFS-120707

Journal: Journal of Intelligent & Fuzzy Systems, vol. 25, no. 4, pp. 1037-1042, 2013