TY - JOUR T1 - Weak complete parts in semihypergroups TT - JF - IJMSI JO - IJMSI VL - 8 IS - 2 UR - http://ijmsi.ir/article-1-508-en.html Y1 - 2013 SP - 101 EP - 109 KW - (semi)Hypergroup KW - (strongly) Regular relation KW - Complete parts KW - -part. N2 - In this article we generalize the notion of complete parts, by introducing a weaker condition in definition. Using this generalization we define and analyse a new class of semihypergroups, which are called weak complete semihypergroups. Complete parts were introduced about 40 years ago by M. Koskas and they represent a basic notion of hyperstucture theory, utilized in constructing an important class of subhypergroups of a hypergroup and also they are used to define complete hypergroups. M3 10.7508/ijmsi.2013.02.009 ER -