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NEW TYPES OF FUZZY n-ARY SUBHYPERGROUPS OF AN n-ARY HYPERGROUP | ||
Iranian Journal of Fuzzy Systems | ||
مقاله 9، دوره 9، شماره 5، اسفند 2012، صفحه 105-124 اصل مقاله (437.37 K) | ||
نوع مقاله: Research Paper | ||
شناسه دیجیتال (DOI): 10.22111/ijfs.2012.107 | ||
نویسندگان | ||
Yunqiang Yin1؛ Jianming Zhan2؛ Bijan Davvaz3 | ||
1College of Mathematics and Information Sciences, East China Insti- tute of Technology, Fuzhou, Jiangxi 344000, China | ||
2Department of Mathematics, Hubei Institute for Nationalities, Enshi, Hubei Province 445000, China | ||
3Department of Mathematics, Yazd University, Yazd, Iran | ||
چکیده | ||
In this paper, the new notions of ``belongingness ($in_{gamma}$)" and ``quasi-coincidence ($q_delta$)" of a fuzzy point with a fuzzy set are introduced. By means of this new idea, the concept of $(alpha,beta)$-fuzzy $n$-ary subhypergroup of an $n$-ary hypergroup is given, where $alpha,betain{in_{gamma}, q_{delta},in_{gamma}wedge q_{delta}, ivq}$, and it is shown that, in 16 kinds of $(alpha,beta)$-fuzzy $n$-ary subhypergroups, the significant ones are the $(in_{gamma},in_{gamma})$-fuzzy $n$-ary subhypergroups, $(in_{gamma},ivq)$-fuzzy $n$-ary subhypergroups and the $(in_{gamma}wedge q_{delta},in_{gamma})$-fuzzy $n$-ary subhypergroups. | ||
کلیدواژهها | ||
n-ary subhypergroup؛ $(\in_{\gamma}؛ in_{gamma})$-fuzzy $n$-ary subhypergroups؛ ivq)$-fuzzy $n$-ary subhypergroups and the $(in_{gamma}wedge q_{delta}؛ in_{gamma})$-fuzzy $n$-ary subhypergroups | ||
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