﻿A NEW WAY TO FUZZY h-IDEALS OF HEMIRINGS

Yin, Yunqiang; Zhan, Jianming; Huang, Xiaokun

doi:10.22111/ijfs.2011.299

Document Type : Research Paper

Authors

¹ School of Sciences, East China Institute of Technology, Fuzhou, Jiangxi 344000, China

² Department of Mathematics, Hubei Institute for Nationalities, Enshi, Hubei Province 445000, China

³ Department of Mathematics, Honghe University, Mengzi, Yunnan 661100, China

https://doi.org/10.22111/ijfs.2011.299

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.

Keywords

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﻿A NEW WAY TO FUZZY h-IDEALS OF HEMIRINGS

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Volume 8, Issue 5 - Serial Number 5September and October 2011Pages 81-101

A NEW WAY TO FUZZY h-IDEALS OF HEMIRINGS

Volume 8, Issue 5 - Serial Number 5
September and October 2011
Pages 81-101