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All Journal Epsilon: Jurnal Matematika Murni dan Terapan Jurnal Fourier Jurnal Matematika Sains dan Teknologi BAREKENG: Jurnal Ilmu Matematika dan Terapan FIBONACCI: Jurnal Pendidikan Matematika dan Matematika Jurnal Pengabdian Kepada Masyarakat (Mediteg) Jurnal Pengabdian kepada Masyarakat Jurnal Pengabdian Pada Masyarakat Jurnal Pengabdian Masyarakat Bangsa Jurnal Matematika Integratif OMNICODE Journal (Omnicompetence Community Developement Journal)
Saman Abdurrahman
Program Studi Matematika Fakultas MIPA Universitas Lambung Mangkurat
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Journal : Jurnal Fourier

 1 
Karakteristik Subsemiring Fuzzy Abdurrahman, Saman
Jurnal Fourier Vol 9 No 1 (2020)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14421/fourier.2020.91.19-23

Abstract

Dalam tulisan ini, didefinisikan subsemiring fuzzy dan menyelidiki sifat yang terkait. Selain itu, diperkenalkan konsep subsemiring yang diinduksi dari level subset. Akhirnya, karakteristik subsemiring fuzzy diperoleh. [In this paper, we define the notion of fuzzy subsemiring and investigate the related properties. Moreover, we introduce the idea of a subsemiring induced from the level subset. Finally, a characterization of a fuzzy subsemiring is obtained.]
Interior Subgrup Fuzzy Saman Abdurrahman
Jurnal Fourier Vol. 7 No. 1 (2018)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (389.726 KB) | DOI: 10.14421/fourier.2018.71.13-21

Abstract

Tujuan dari penelitian ini adalah memperkenalkan konsep interior fuzzy subgrup (interior subgroup) dalam grup dan menyelidiki beberapa sifat yang terkait. [The aim of this paper is to introduce the notion of fuzzy interior subgroup (interior subgroup) in a group and investigate some related properties.]
Image (Pre-image) Homomorfisme Interior Subgrup Fuzzy Saman Abdurrahman
Jurnal Fourier Vol. 8 No. 1 (2019)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (299.144 KB) | DOI: 10.14421/fourier.2019.81.15-18

Abstract

Dalam makalah ini, akan diperkenalkan notasi image (pre-image) di bawah homomorfisma grup, dan akan dibuktikan image (pre-image) interior subgrup fuzzy (interior subgrup) di bawah homomorfisma grup selalu interior subgrup fuzzy (interior subgrup). [In this paper, we will introduce the image (pre-image) under the group homomorphism, and we will prove the image (pre-image) of the interior of the fuzzy subgroup (the interior of the subgroup) under the group homomorphism is always the interior of the fuzzy subgroup (the interior of the subgroup).]
Karakteristik Subsemiring Fuzzy Saman Abdurrahman
Jurnal Fourier Vol. 9 No. 1 (2020)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14421/fourier.2020.91.19-23

Abstract

Dalam tulisan ini, didefinisikan subsemiring fuzzy dan menyelidiki sifat yang terkait. Selain itu, diperkenalkan konsep subsemiring yang diinduksi dari level subset. Akhirnya, karakteristik subsemiring fuzzy diperoleh. [In this paper, we define the notion of fuzzy subsemiring and investigate the related properties. Moreover, we introduce the idea of a subsemiring induced from the level subset. Finally, a characterization of a fuzzy subsemiring is obtained.]
Ideal Fuzzy Semiring Atas Level Subset Saman Abdurrahman
Jurnal Fourier Vol. 11 No. 1 (2022)
Publisher : Program Studi Matematika Fakultas Sains dan Teknologi UIN Sunan Kalijaga Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.14421/fourier.2022.111.1-6

Abstract

Semiring merupakan salah satu perluasan dari ring, dengan cara menghilangan salah satu aksioma pada operasi pertama yaitu aksioma invers. Pada semiring terdapat konsep subsemiring dan ideal dengan kondisi bahwa setiap ideal semiring adalah selalu subsemiring. Tetapi kondisi kebalikannya belum tentu berlaku. Selain konsep subsemiring dan ideal semiring, pada struktur semiring diperkenalkan konsep homomorfisma semiring. Kondisi ini, analog dengan homomorfisma di ring, sehingga sifat-sifat yang ada pada semiring dapat dinduksi dari sifat - sifat di ring, seperti konsep image dan preimage di bawah homomorfisma semiring analog dengan konsep image dan preimage di bawah homomorfisma ring. Konsep ideal pada semiring jika dipadukan dengan konsep fuzzy, akan menghasilkan konsep baru, yaitu konsep ideal fuzzy semiring. Pada makalah ini, akan diperkenalkan konsep ideal fuzzy semiring, image dan preimage ideal fuzzy dari suatu homomorfisma semiring. Lebih lanjut, akan diselidiki sifat-sifat ideal fuzzy semiring, image dan preimage ideal fuzzy dibawah homomorfisma semiring melalui suatu level subset. [Semiring is one of the extensions of the ring by disappearing one of the axioms in the first operation, namely the inverse axiom. In semiring, there is the concept of subsemiring and ideal with the condition that every ideal semiring is always subsemiring. However, the opposite condition does not necessarily apply. In addition to the concept of subsemiring and the ideal of a semiring, in the semiring structure was introduced the concept of semiring homomorphism. This condition is analogous to the homomorphism in the ring so that the properties present in the semiring can be induced from the properties in the ring, such as the concept of image and preimage under the homomorphism of semiring analogous to the concept of image and preimage under the homomorphism of the ring. If combined with the fuzzy concept, the ideal concept in semiring will produce a new concept, namely the ideal concept of fuzzy semiring. This paper will introduce the concept of an ideal fuzzy semiring, image, and preimage ideal fuzzy from a semiring homomorphism. Furthermore, the properties of the fuzzy ideal semiring, image, and preimage of the fuzzy ideal will be investigated under the semiring homomorphism through a subset level.]
Co-Authors AA Sudharmawan, AA Achmad Riduansyah Ahmad Madani Ahmad Yasir Alfiani Sekar Melati Alfina Raudhoh Alya Hanifah Arif Amalia, Zharfa Rizqi Andriani, Asfia Angelina Novryance Tarapang Audinta Sakti Firmansyah Cendikia Hira Cendikia Hira Dodon Turianto Nugrahadi Elen Agustina Faisal Faisal Fatmawati Fatmawati Fiqriani Noor Gunawan, I Wayan Ari Gusti Muhammad Rosyadi Hasibuan, Lilis Harianti Herry Sutarto Ladjang Hijriati, Naimah Idris, Moch Idris, Mochammad Ihza Nur Alfaz Jumiati Jumiati Juwita Lasterina Lestia, Aprida Siska Lissa, Hermei Mahfuz Tarmizi Maulida Hardianti Mochammad Idris Muhammad Fadhilah Muchlis Muhammad Mahfuzh Shiddiq Muhammad Rifaldy Yanwar Muliawati, Aminah Mulidya, Mulidya Nailah Nailah Nauva Adila Nor Hidayati Noviliani Noviliani Nurul Huda Nurus Sahliah Oktaviani, Yeni Rahma R. Septian Angga Saputra Rahmadina, Rahmadina Raihanah Abiyah Julia Lavenita Revani Indahtiana Rohmalita Rohmalita Rusidawati Rusidawati Sa'adah, Yalela Sabna, Sabna Sapuah Sapuah Sa’adh, Yalela Selvia, Miya Sheryn Amelia Puteri Shiddiq, Muhammad Mahfuzh Tarmizi, Mahfuz Thresye Thresye Thresye Thresye Tiara Roihatul Jannah Wibowo, Syahputra