Abstract

By means of a kind of new idea, we consider the $(\in,\ivq)$-fuzzy $h$-ideals of a hemiring. First, the concepts of $(\in,\ivq)$-fuzzy left(right) $h$-ideals of a hemiring are provided and some related properties are investigated. Then, a kind of quotient hemiring of a hemiring by an $(\in,\ivq)$-fuzzy $h$-ideal is presented and studied. Moreover, the notions of generalized $\varphi$-compatible $(\in,\ivq)$-fuzzy left(right) $h$-ideals of a hemiring are introduced and some properties of them are provided. Finally, the relationships among $(\in,\ivq)$-fuzzy $h$-ideals, quotient hemirings and homomorphisms are explored and several homomorphism theorems are provided.

Details

Title
A NEW WAY TO FUZZY h-IDEALS OF HEMIRINGS
Author
Yin, Yunqiang; Zhan, Jianming; Huang, Xiaokun
Pages
81-101
Section
Research Paper
Publication year
2011
Publication date
Sep 2011
Publisher
University of Sistan and Baluchestan, Iranian Journal of Fuzzy Systems
ISSN
17350654
e-ISSN
26764334
Source type
Scholarly Journal
Language of publication
English
ProQuest document ID
2671838530
Copyright
© 2011. This work is published under https://creativecommons.org/licenses/by-nc/2.0/ (the “License”). Notwithstanding the ProQuest Terms and Conditions, you may use this content in accordance with the terms of the License.