Judul: Anti  -Fuzzy  -  Subgrup Kiri dari Near Ring
Abstrak: Teori himpunan fuzzy dikembangkan oleh LA Zadeh telah menginspirasi para matematikawan untuk melakukan penelitian struktur aljabarnya. Tujuan karya ilmiah ini adalah membuktikan beberapa karakteristik dari anti -fuzzy - subgrup kiri dari near ring. Terdapat empat teorema yang dibahas pada karya ilmiah ini. Teorema pertama membuktikan hubungan antara anti -fuzzy - subgrup kiri dengan endomorfisma dari near ring. Kemudian teorema kedua membuktikan sifat epimorfisma dari anti -fuzzy - subgrup kiri dari suatu near ring. Terakhir, teorema ketiga dan keempat membuktikan karakterisasi anti -fuzzy dari near ring yang berbeda. Pembuktian dari keempat teorema tersebut merupakan karakteristik dari anti -fuzzy - subgrup kiri dari near ring.
Keyword: anti  -fuzzy left  -  subgroup of near ring, fuzzy set, near ring

Judul: Aplikasi Relasi Peluang Bersyarat Fuzzy pada Sistem Informasi Fuzzy
Abstrak: Dalam kehidupan sehari-hari seringkali ditemui suatu fenomena yaitu data mengandung sesuatu yang tidak akurat. Data yang tidak akurat tersebut dapat berupa kata-kata manusia yang bersifat relatif. Pada kasus ini, himpunan fuzzy dapat digunakan untuk merepresentasikan data yang tidak akurat tersebut dengan derajat keakuratan data yang berbeda. Pada tulisan ini diperkenalkan relasi peluang bersyarat fuzzy atau fuzzy conditional probability relations (FCPR) yang digunakan untuk merepresentasikan relasi kemiripan antara dua himpunan fuzzy yang tidak perlu simetris atau transitif. Konsep FCPR yang dibahas difokuskan pada relasi kemiripan yang lemah yang merupakan tipe khusus pada relasi fuzzy biner dengan perumuman relasi kemiripan. Sistem informasi fuzzy yang digunakan adalah tabel data fuzzy sederhana yang merupakan aplikasi dari knowledge discovery and data mining (KDD). Dengan memanfaatkan derajat dari dasar kemiripan (FCPR), aplikasi FCPR yaitu konsep á-objek redundan, ketergantungan atribut, pendekatan data reduksi dan proyeksi, dan pendekatan data query. Perhitungan berdasarkan FCPR berguna untuk menentukan derajat kemiripan dari dua kata yang tidak perlu simetris atau transitif. Konsep á-objek redundan sangat penting untuk mereduksi angka dari aturan keputusan dengan adanya tabel keputusan. Konsep ketergantungan atribut berdasarkan FCPR sangat penting untuk manganalisa ketergantungan dari atribut. Aplikasi pendekatan data reduksi dan proyeksi digunakan untuk menemukan relasi di antara anak himpunan fuzzy dari partisi fuzzy dan menghasilkan fuzzy integrity constraints. Aplikasi pendekatan data query digunakan untuk menghasilkan relasi fuzzy query dengan adanya tabel keputusan.
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Judul: Process engineering of cassava pulp hydrolysis using microwave heating for ethanol production
Abstrak: Cassava pulp is a potential source of carbohydrates. In this work, characteristics of the cassava pulp were analyzed and validity of microwave irradiation for hydrolysis of carbohydrates, especially starch present in the cassava pulp, was estimated as a non-enzymatic saccharification technique. The hydrolysis was performed in water and acid medium. In addition, the role of activated carbon in the microwave-assisted hydrolysis was also evaluated. An optimization of the hydrolysis was conducted using Central Composite Design (CCD) and was analyzed using Response Surface Methodology (RSM). Fermentation of cassava pulp hydrolysates produced from microwave-assisted acid hydrolysis was performed to those added with activated carbon (25% w/w) and those without activated carbon by Saccharomyces cerevisiae. There were two types of activated carbon, which have different adsorption properties, used in this experiment. Results of the cassava pulp characterization shows that the starch granules in the cassava pulp were trapped in biomass matrices, so that the starch was harder to hydrolyze than the free starch, such as that in tapioca flour. Microwave-assisted hydrolysis of cassava pulp can be completed in less than 15 minutes in water medium, and less than 10 minutes in acid medium. The addition of activated carbon improved hydrolysis of cassava pulp starch in water medium with suppression of formation of the secondary decomposed materials. The highest glucose yield obtained from cassava pulp was 46% of dry matter or 52% of theoretical, which was about 60% higher than the one without the addition of activated carbon. On the contrary, the addition of activated carbon decreased the glucose yield when the hydrolysis was performed in acid medium (0.5% H2SO4). The glucose yield could reach 80.8% of dry matter or 91.5% of theoretical yield when no activated carbon was added in the acid medium. The estimated optimum condition for cassava pulp hydrolysis under microwave irradiation was using 0.88% sulfuric acid with 9 minutes of heating time, which resulted in 85% of theoretical glucose yield and 140 g/L glucose concentration. At the end of the fermentation the ethanol yield and concentration obtained in the samples treated with activated carbon (0.41-0.43 g ethanol / g glucose consumed; 34-35 g/L) were lower than that not treated with activated carbon or those treated with activated carbon which was added after hydrolysis (0.48 g ethanol / glucose consumed; 38- 39 g/L). However, the fermentation was completed very much faster in the hydrolysates treated with the activated carbon which has a high adsorption capacity than in that not treated with activated carbon or those treated with activated carbon of low adsorption capacity. Therefore, ethanol productivities (0.44-0.55 g/L/h) of the former were higher than the latter (0.28-0.34 g/L/h).
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