%0 Journal Article
%A Agus Maman, Abadi
%A Karyati, Karyati
%A LPPM UNY,
%D 2016
%F UNY:47057
%J Artikel Penelitian Disertasi Doktor
%K Green relation, fuzzy ideal, fuzzy pricipal ideal,  fuzzy Green relation
%T SIFAT-SIFAT SEMIGRUP BENTUK BILINEAR TERURUT PARSIAL   WEAKLY-REGULER, INTRA-REGULER DAN SEMISIMPEL   DALAM BATASAN IDEAL FUZZY
%U http://eprints.uny.ac.id/47057/
%X The Green relations on semigroups have  been introduced by Howie [3]. They are right Green  relation  , left Green relation   and (two sided) Green  relation  . The right Green relation   is defined as              〈    〉      , with  〈    〉   denotes the right ideal  generated by an element   (or called the principle  right ideal generated by  . The definition of the left  Green relation     and the Green relation   are similar  to the definition of the right Green relation. In this  paper we will construct the definition of the fuzzy right  Green relation (denoted by          ), the fuzzy left Green  relation (denoted by       ) and the fuzzy Green relation  (denoted by       ) on a semigroup. First we define a  fuzzy ideal (right/left) generated by a fuzzy subset (a  fuzzy principle ideal) on a semigroup and their  examples. Based on the fuzzy principle ideal definition,  we define a fuzzy (right/left) Green relation on a  semigroup. The fuzzy subset   and   are fuzzy  (right/left) Green related if and only if the fuzzy  (right/left) ideal generated by   is equal to the fuzzy  (right/left) ideal generated by  .
%Z Laporan Hasil Penelitian Disertasi Doktor 2016