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SIFAT ISOMORFIK PADA OPERASI TENSOR, BINTANG, CARTESIUS, DAN MODULAR DUA GRAF FUZZY Triyani Triyani; Bambang Hendriya Guswanto; Nurhayati nurhayati
Jurnal Ilmiah Matematika dan Pendidikan Matematika Vol 11 No 1 (2019): Jurnal Ilmiah Matematika dan Pendidikan Matematika
Publisher : Jurusan Matematika FMIPA Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2020.12.1.1935

Abstract

This article discusses about some isomorphic properties of tensor, star, Cartesius, and modular product operations of two fuzzy graphs. The results of research are the tensor product of two fuzzy graphs is isomorphic, and if and are complete fuzzy graphs then , , and . Full Article
The spectrum on prism graph using circulant matrix Triyani Triyani; Mashuri Mashuri; Bunga Tirai Anarkis; Slamet Riyadi
Bulletin of Applied Mathematics and Mathematics Education Vol. 2 No. 1 (2022)
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1151.292 KB) | DOI: 10.12928/bamme.v2i1.5129

Abstract

Spectral graph theory discusses about the algebraic properties of graphs based on the spectrum of a graph. This article investigated the spectrum of prism graph. The method used in this research is the circulant matrix. The results showed that prism graph P2,s is a regular graph of degree 3, for s odd and s ≥ 3, P2,s is a circulantt graph with regular spectrum.
PENGGUNAAN ALAT PERAGA PAPAN ALJABAR DALAM PENJUMLAHAN DAN PENGURANGAN BILANGAN BULAT UNTUK SISWA PKBM BUDI LUHUR Triyani Triyani; Niken Larasati; Ari Wardayani; Agustini Tripena; Slamet Riyadi
Jurnal Pengabdian Pendidikan Masyarakat (JPPM) Vol 3 No 2 (2022): Jurnal Pengabdian Pendidikan Masyarakat (JPPM) Volume 3, No 2 Oktober 2022
Publisher : LP3M STKIP MUHAMMADIYAH MUARA BUNGO

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (333.389 KB) | DOI: 10.52060/jppm.v3i2.967

Abstract

This Community Service activity aims to improve the quality and motivation of mathematics learning, especially the addition and subtraction of integers for PKBM Budi Luhur Pekaja Banyumas students. This learning activity is carried out offline at the beginning of the odd semester of the 2022/2023 academic year by involving 7 (seven) graders. The learning method used is lectures and demonstrations of the use of teaching aids called 'algebra boards'. Algebra board teaching aids are concrete teaching aids resulting from the development of semi-concrete teaching aids, namely the number line that is used to explain the addition and subtraction of integers. The evaluation of the success of the learning activity results is based on the pre-test and post-test scores given to students before and after using the algebra board props. The results of the evaluation showed that the average score of students increased by 64.7% for the material of adding integers and 39.1% for the material of subtracting integers.
On Conformable, Riemann-Liouville, and Caputo fractional derivatives Bambang Hendriya Guswanto; Leony Rhesmafiski Andini; Triyani Triyani
Bulletin of Applied Mathematics and Mathematics Education Vol. 2 No. 2 (2022)
Publisher : Universitas Ahmad Dahlan

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.12928/bamme.v2i2.7072

Abstract

This article compares conformable fractional Derivative with Riemann-Liouville and Caputo fractional derivative by comparing solutions to fractional ordinary differential equations involving the three fractional derivatives via the numerical simulations of the solutions. The result shows that conformable fractional derivative can be used as an alternative to Riemann-Liouville and Caputo fractional derivative for order α with 1/2<α<1.
Bilangan Kromatik Fuzzy dalam Sistem Penjadwalan Fuzzy Triyani Triyani; Niken Larasati
Jurnal Matematika Integratif Vol 15, No 2: Oktober, 2019
Publisher : Department of Matematics, Universitas Padjadjaran

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (1064.812 KB) | DOI: 10.24198/jmi.v15.n2.22372.103

Abstract

Artikel  ini bertujuan untuk menemukan bilangan kromatik fuzzy dari graf fuzzy yang merepresentasikan sistem penjadwalan fuzzy. Sistem penjadwalan fuzzy nerupakan model penjadwalan yang mempertimbangkan keterbatasan-keterbatasan fasilitas dan sumber daya sehingga mempunyai penyelesaian yang fleksibel dalam menentukan jumlah interval waktu dalam penjadwalan. Pewarnaan pada grav fuzzy dengan menggunakan alpha cut yang dikembangkan oleh Munoz (2005) dapat digunakan untuk menyelesaikan masalah penjadwalan. Hasil dari pewarnaan pada graf fuzzy dengan menggunakan alpha cut adalah bilangan kromatik fuzzy yang merupakan himpunan dari pasangan terurut bilangan kromatik crips graph dengan alpha yang nilainya terletak di antara 0 sampai 1.
Aplikasi Himpunan Kritis Pada Pelabelan Graf Caterpillar Teratur Triyani Triyani; Siti Rahmah Nurshiami; Mutia Nur Estri
Jurnal Matematika Integratif Vol 9, No 1: April, 2013
Publisher : Department of Matematics, Universitas Padjadjaran

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (350.637 KB) | DOI: 10.24198/jmi.v9.n1.10197.53-60

Abstract

Graf yang dapat dilabeli dengan pelabelan Total Super Sisi Ajaib (TSSA) disebut graf super sisi ajaib. Graf Caterpillar Teratur
Karakteristik Himpunan Kritis dalam Pelabelan TSA pada Graf Pohon Triyani Triyani; Siti Rahmah Nurshiamil; Ari Wardayani; Irham Taufiq
Jurnal Matematika Integratif Vol 12, No 1: April, 2016
Publisher : Department of Matematics, Universitas Padjadjaran

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (432.647 KB) | DOI: 10.24198/jmi.v12.n1.10284.51-58

Abstract

Sebuah himpunan kritis dalam pelabelan Total Sisi Ajaib (TSA),  pada graf G adalah subhimpunan label sedemikian sehingga label tersebut membangun pelabelan TSA secara tunggal. Konsep himpunan kritis pada pelabelan graf ini merupakan pengembangan teori dari himpunan kritis dalam bujur sangkar latin yang dikemukakan oleh Cooper dkk (1994). Artikel ini bertujuan menginvestigasi karakteristik himpunan kritis dalam pelabelan TSA pada graf pohon. Hasil penelitian menunjukkan bahwa jika G adalah graf pohon, maka himpunan kritis dengan ukuran minimal dalam pelabelan TSA pada G sama dengan banyaknya daun di G.Kata Kunci : himpunan kritis minimal, pelabelan TSA, graf TSA
Sifat-sifat Perkalian Modular pada Graf Fuzzy Lengkap, Graf Fuzzy Efektif dan Graf Fuzzy Komplemen Triyani Triyani; Niken Larasati; Ari Wardayani
Jurnal Matematika Integratif Vol 14, No 1: April, 2018
Publisher : Department of Matematics, Universitas Padjadjaran

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (374.547 KB) | DOI: 10.24198/jmi.v14.n1.15849.31-38

Abstract

Penelitian ini bertujuan menyelidiki sifat-sifat operasi perkalian modular pada graf fuzzy yang diperkenalkan oleh Dogra [2]. Sifat yang diselidiki adalah perkalian modular pada graf fuzzy lengkap, graf fuzzy efektif dan graf fuzzy komplemen. Metode yang digunakan pada penelitian ini adalah metode penelitian teoritik. Hasil penelitian menunjukkan bahwa perkalian modular dari dua graf fuzzy lengkap bukan merupakan graf fuzzy lengkap, jika ke dua graf fuzzy efektif, maka perkalian modular dari dua graf fuzzy komplemennya sama dengan perkalian modular dari dua graf fuzzy efektif tersebut dan perkalian modular dari dua graf fuzzy G1 danG2  dengan G2  danG1 saling isomorfis.
Application of Failure Mode and Effect Analysis and Fault Tree Analysis in Determining Prevention Efforts Failure of The Fire Extinguishing Process Jessy Melinda; Siti Rahmah Nurshiami; Triyani Triyani
Mathline : Jurnal Matematika dan Pendidikan Matematika Vol. 8 No. 3 (2023): Mathline: Jurnal Matematika dan Pendidikan Matematika
Publisher : Universitas Wiralodra

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.31943/mathline.v8i3.394

Abstract

Banyumas is one of the regencies that still experiences frequent fires. The fire caused physical or material losses. To minimize fire losses, many efforts can be made to prevent the occurrence of these potential causes, which are the cause of the failure of the firefighting process. This study aims to implement the Failure Mode and Effect Analysis (FMEA) and Fault Tree Analysis (FTA) methods in determining efforts to prevent fire suppression failures. The result of the FMEA is Risk Priority Number (RPN) values to assess critical potential causes that need to be analyzed using FTA. In this research, there are ten important causes of potential, namely burned assets, difficult assets to save, victims panicking, witnesses/owners were not present, officers slipping, water sources being far from the location, victims being rescued too late, victims being trapped, officers being hit by debris, and officers inhaled excess smoke (congested). The result FTA obtained eleven minimum cut sets, which can fail the firefighting process in the Banyumas Regency, namely lack of awareness from related agencies, the protection system is not up to the firefighting standard and lack of maintenance of the fire protection system, lack of knowledge about how to evacuate yourself, the water source is far from the location, the owner does not live in the place (location), the victim has responsibility for the assets saved, high-priority asset value, a witness has not reported because the incident is considered to be handled by the residents, fire smoke is thick and firefighters not using self-contained breathing apparatus (SCBA).
SIFAT ISOMORFIK PADA OPERASI TENSOR, BINTANG, CARTESIUS, DAN MODULAR DUA GRAF FUZZY Triyani Triyani; Bambang Hendriya Guswanto; Nurhayati nurhayati
Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP) Vol 11 No 1 (2019): Jurnal Ilmiah Matematika dan Pendidikan Matematika (JMP)
Publisher : Universitas Jenderal Soedirman

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.20884/1.jmp.2020.12.1.1935

Abstract

This article discusses about some isomorphic properties of tensor, star, Cartesius, and modular product operations of two fuzzy graphs. The results of research are the tensor product of two fuzzy graphs is isomorphic, and if and are complete fuzzy graphs then , , and . Full Article