NEW TYPES OF FUZZY n-ARY SUBHYPERGROUPS OF AN n-ARY HYPERGROUP
نویسندگان
1 College of Mathematics and Information Sciences, East China Insti- tute of Technology, Fuzhou, Jiangxi 344000, China
2 Department of Mathematics, Hubei Institute for Nationalities, Enshi, Hubei Province 445000, China
3 Department of Mathematics, Yazd University, Yazd, Iran.
doi
10.22111/ijfs.2012.107چکیده
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.
