%0 Journal Article
%A Karyati, Karyati
%A Dhoriva Urwatul, Wutsqa
%D 2014
%F UNY:11492
%I Yogyakarta State University
%J Proceeding of  International Conference On Research, Implementation And Education  Of Mathematics And Sciences 2014
%K bilinear form semigroup, ordered semigroup, fuzzy quasi-ideal , left simple, right simple
%T THE PROPERTIES OF ORDERED BILINEAR FORM SEMIGROUP  IN TERM OF FUZZY QUASI-IDEALS
%U http://eprints.uny.ac.id/11492/
%X A  bilinear form semigroup      is a special semigroup. This semigroup is constructed by an adjoin  ordered pair       , for   is a linear mapping from  a vector space   into itself and   for   is a linear mapping from  a vector space   into itself.  In this case, the vector spaces     have zero characteristics.  An ordered bilinear form semigroup is a bilinear form semigroup       includes  a  partial ordered ‘ ’ such that          is a poset and  for all           with      we  have        and       .   A fuzzy subset is a mapping from crisp set into a closed interval [0,1].  Let         be an ordered semigroup and      , we denote                           . An ordered semigroup   is left simple if and only if       ,     is right simple  if and only if       , for every    . In this paper we characterize the ordered bilinear form semigroup in term of fuzzy quasy-ideals. One of these properties said that a level subset of  a fuzzy subset   of      is a quasi- ideal if and only if   is a fuzzy quasi-ideal of     .