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All Journal Epsilon: Jurnal Matematika Murni dan Terapan
Nurul Huda
Program Studi Matematika FMIPA Universitas Lambung Mangkurat
Decision Sciences, Operations Research & Management Transportation

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SIFAT-SIFAT FUNGSI PHI EULER DAN BATAS PRAPETA FUNGSI PHI EULER Rizkun As Syirazi; Thresye Thresye; Nurul Huda
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 11, No 1 (2017): JURNAL EPSILON VOLUME 11 NOMOR 1
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (227.993 KB) | DOI: 10.20527/epsilon.v11i1.115

Abstract

Little Fermat's theory successfully generalized by Euler using Euler's phi function, The phi function Euler φφ (????????) is defined as the number of not more than ???????? and prime with ????????. Gupta (1981) says not all of the original numbers are a range element φφ. The purpose of this study is to determine the properties of the Euler phi function and determine the lower bound and upper limit of the preample of a number under the phi Euler function. This study is a literature study by collecting and studying various references related to the research topic. The result obtained is the relationship of the original number to the map of the number when it is imposed with the phi Euler function and the Euler's function preleta limits, both the lower and upper limits. The limit can be used to specify the set ofprapeta a number under the phi euler function
ANTI SUBGRUP FUZZY Ahmad Yasir; Saman Abdurrahman; Nurul Huda
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 10, No 2 (2016): JURNAL EPSILON VOLUME 10 NOMOR 2
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (160.924 KB) | DOI: 10.20527/epsilon.v10i2.37

Abstract

Subgrup yaitu himpunan bagian tidak kosong dari suatu grup ???????? dan merupakan grup terhadap operasi yang sama dengan grup ????????. Perpaduan antara konsep aljabar dengan konsep fuzzy disebut subgrup fuzzy. Pada tahun 1998 R. Biswas memperkenalkan konsep lower level subset dari subset fuzzy, anti subgrup fuzzy, dan lower level subgrup. Tujuan dari penelitian ini membuktikan subset fuzzy dari grup adalah subgrup fuzzy jika dan hanya jika komplemen dari subset fuzzy adalah anti subgrup fuzzy dan membuktikan jika subset fuzzy adalah anti subgrup fuzzy maka lower level subset juga anti subgrup fuzzy. Metode yang digunakan studi literatur. Hasil dari penelitian ini adalah jika diberikan ???????? grup, suatu subset fuzzy ???????? di ???????? disebut anti subgrup fuzzy maka berlaku ????????(????????????????)≤max {????????(????????),????????(???? )} dan ????????(????????−1)≤????????(???? ) untuk setiap ????????,???? ∈????????. Kemudian diberikan ???????? subgrup fuzzy di ???????? jika dan hanya jika komplemen dari subgrup fuzzy (μc) adalah anti subgrup fuzzy. Jika suatu subset fuzzy ???????? dari ???????? dan untuk ????????∈[0,1] maka lower level subset dari ???????? adalah himpunan ????????????????????={????????∈????????|????????(????????)≤????????}, kemudian jika diberikan μ anti subgrup fuzzy di ???????? maka suatu subgrup ???????????????????? , ????????∈[0,1] dan ????????≥????????(????????), disebut lower level subgrup dari ????????. Selanjutnya jika ???????? adalah anti subgrup fuzzy di ???????? maka ???????????????????????????? adalah anti subgrup fuzzy di ???????? dengan ????????∈[????????(????????),1].Kata Kunci: Lower level subset, Anti subgrup fuzzy, Lower Level Subgrup.
PRODUK KARTESIAN IDEAL FUZZY PADA RING Sapuah Sapuah; Saman Abdurrahman; Nurul Huda
EPSILON: JURNAL MATEMATIKA MURNI DAN TERAPAN Vol 11, No 1 (2017): JURNAL EPSILON VOLUME 11 NOMOR 1
Publisher : Mathematics Study Program, Faculty of Mathematics and Natural Sciences, Lambung Mangkurat

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (145.555 KB) | DOI: 10.20527/epsilon.v11i1.114

Abstract

The concept of algebra fuzzy was initially introduced by Rosenfeld in 1971. In 1991, Malik and Moderson explained if cartesian product of two fuzzy subgroup from same group, then it was fuzzy subgroup too and if cartesian product of two fuzzy ideal from same ring, then it was fuzzy ideal too. We discuss the cartesian product of two or more fuzzy subgroups from different group, then it was fuzzy subgroup too and cartesian product of two or more fuzzy ideal from different ring, then it was fuzzy ideal too.
Co-Authors Ahmad Yasir Rizkun As Syirazi Saman Abdurrahman Sapuah Sapuah Thresye Thresye