On $n$-ary Hypergroups and Fuzzy $n$-ary Homomorphism

on $n$-ary hypergroups and fuzzy $n$-ary homomorphism

FUZZY ROUGH N-ARY SUBHYPERGROUPS

Fuzzy rough n-ary subhypergroups are introduced and characterized.

n-ary hypergroups

in this paper the class of n-ary hypergroups is introduced and several properties are found andexamples are presented. n-ary hypergroups are a generalization of hypergroups in the sense of marty. on theother hand, we can consider n-ary hypergroups as a good generalization of n-ary groups. we define thefundamental relation β* on an n-ary hypergroup h as the smallest equivalence relation such tha...

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 16 kinds of $(alpha,beta...

SEVERAL ASPECTS ON THE HYPERGROUPS ASSOCIATED WITH n-ARY RELATIONS

This paper deals with hypergroupoids obtained from n-ary relations. We give conditions for an n-ary relation such that the hypergroupoid associated with it is a hypergroup. First we analyze this construction using a ternary relation and then we generalize it for an n-ary relation.

fuzzy rough n-ary subhypergroups

fuzzy rough n-ary subhypergroups are introduced and characterized.