Affiliations: [a] School of Science, Zhejiang University of Science and Technology, Hangzhou, Zhejing, China
| [b] College of Mathematics and Econometrics, Hunan University, Changsha, Hunan, China
| [c] School of Computer Science and Network Security, Dongguan University of Technology, Dongguan, Guangdong, China
| [d] College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou, Zhejing, China
Correspondence:
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Corresponding author. Ninghua Gao, School of Science, Zhejiang University of Science and Technology, Hangzhou, Zhejing, 310023, China. E-mail: [email protected] and Haojie Jiang, College of Mechanical Engineering, Zhejiang University of Technology, Hangzhou, Zhejing 310014, China. E-mail: [email protected].
Abstract: The main goal of this paper is to introduce and study several classes of fuzzy ordered semirings, and then to investigate some interesting properties of them in terms of special fuzzy ideals. In this respect, we characterize left (resp., right) weakly regular fuzzy ordered semirings, weakly regular fuzzy ordered semirings and semisimple fuzzy ordered semirings via different kinds of fuzzy ideals, respectively. Moreover, the pseudo-fuzzy order on semirings is defined, based on it, a homomorphism theorem of fuzzy ordered semirings is obtained.
