NEW TYPES OF FUZZY n-ARY SUBHYPERGROUPS OF AN n-ARY HYPERGROUP

Authors

Bijan Davvaz Department of Mathematics, Yazd University, Yazd, Iran

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

Yunqiang Yin College of Mathematics and Information Sciences, East China Insti- tute of Technology, Fuzhou, Jiangxi 344000, China

Abstract:

In this paper, the new notions of ``belongingness ($in_{gamma}$)"and ``quasi-coincidence ($q_delta$)" of a fuzzy point with a fuzzyset are introduced. By means of this new idea, the concept of$(alpha,beta)$-fuzzy $n$-ary subhypergroup of an $n$-aryhypergroup is given, where $alpha,betain{in_{gamma}, q_{delta},in_{gamma}wedge q_{delta}, ivq}$, andit is shown that, in 16 kinds of $(alpha,beta)$-fuzzy $n$-arysubhypergroups, 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 $n$-arysubhypergroups.

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Journal title

Iranian Journal of Fuzzy Systems

volume 9 issue 5

pages 105- 124

publication date 2012-12-28

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Keywords

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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