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

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 ۱۶ 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.

کلیدواژه ها:

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