Agus Maman, Abadi and Karyati, Karyati (2016) SIFATSIFAT SEMIGRUP BENTUK BILINEAR TERURUT PARSIAL WEAKLYREGULER, INTRAREGULER DAN SEMISIMPEL DALAM BATASAN IDEAL FUZZY. Artikel Penelitian Disertasi Doktor.

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Abstract
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 .
Item Type:  Article 

Additional Information:  Laporan Hasil Penelitian Disertasi Doktor 2016 
Uncontrolled Keywords:  Green relation, fuzzy ideal, fuzzy pricipal ideal, fuzzy Green relation 
Subjects:  LPPM 
Divisions:  LPPM  Lembaga Penelitian dan Pengabdian kepada Masyarakat 
Depositing User:  LPPM UNY 
Date Deposited:  14 Feb 2017 02:29 
Last Modified:  14 Feb 2017 02:29 
URI:  http://eprints.uny.ac.id/id/eprint/47057 
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