Agus Maman, Abadi and Karyati, Karyati (2016) SIFAT-SIFAT SEMIGRUP BENTUK BILINEAR TERURUT PARSIAL WEAKLY-REGULER, INTRA-REGULER 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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