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A NEW WAY TO FUZZY h-IDEALS OF HEMIRINGS | ||
| Iranian Journal of Fuzzy Systems | ||
| مقاله 7، دوره 8، شماره 5، دی 2011، صفحه 81-101 اصل مقاله (447.73 K) | ||
| نوع مقاله: Research Paper | ||
| شناسه دیجیتال (DOI): 10.22111/ijfs.2011.299 | ||
| نویسندگان | ||
| Yunqiang Yin* 1؛ Jianming Zhan2؛ Xiaokun Huang3 | ||
| 1School of Sciences, East China Institute of Technology, Fuzhou, Jiangxi 344000, China | ||
| 2Department of Mathematics, Hubei Institute for Nationalities, Enshi, Hubei Province 445000, China | ||
| 3Department of Mathematics, Honghe University, Mengzi, Yunnan 661100, China | ||
| چکیده | ||
| 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. | ||
| کلیدواژهها | ||
| Hemiring؛ $(\in؛ \ivq)$-fuzzy left(right) $h$-ideals؛ Generalized $\varphi$-compatible $(\in؛ \ivq)$-fuzzy left(right) $h$-ideals | ||
| مراجع | ||
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