Journal of Applied Mathematics
Volume 2013 (2013), Article ID 348203, 13 pages
http://dx.doi.org/10.1155/2013/348203
Research Article

Characterizations of Semihyperrings by Their ( )-Fuzzy Hyperideals

Xiaokun Huang,1 Yunqiang Yin,2 and Jianming Zhan3

1College of Mathematical Sciences, Honghe University, Mengzi 661199, China
2School of Sciences, East China Institute of Technology, Fuzhou, Jiangxi 344000, China
3Department of Mathematics, Hubei Institute for Nationalities, Enshi, Hubei 445000, China

Received 21 December 2012; Accepted 19 March 2013

Academic Editor: Hector Pomares

Copyright © 2013 Xiaokun Huang et al. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.

Abstract

The concepts of ( )-fuzzy bi-hyperideals and ( )-fuzzy quasi-hyperideals of a semihyperring are introduced, and some related properties of such ( )-fuzzy hyperideals are investigated. In particular, the notions of hyperregular semihyperrings and left duo semihyperrings are given, and their characterizations in terms of hyperideals and ( )-fuzzy hyperideals are studied.