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Jurnal Matematika
Published by Universitas Diponegoro
ISSN : -     EISSN : -     DOI : -
Core Subject : Education,
Mathematics
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Articles 97 Documents
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METODE PEMROGRAMAN LINIER DENG-FENG LI UNTUK MENYELESAIKAN MASALAH TEORI PERMAINAN DENGAN MATRIKS PEMBAYARAN BILANGAN TRIANGULAR FUZZY Armydia Triyuliyanti
Jurnal Matematika JURNAL MATEMATIKA NO 1 2017
Publisher : MATEMATIKA FSM, UNDIP

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Abstract

 ABSTRACT. Game theory is a branch of mathematics that used to make some decisions in the competitive situations with goal to have an optimal profit. Game theory of matrix payoffs with parameters triangular fuzzy number called matrix games with payoffs of triangular fuzzy numbers. Resolving game theory problem with triangular fuzzy numbers must be converted before hand in the from of matrix game with payoffs of triangular fuzzy numbers. In this paper, we explain that this two person zero sum game mixed strategy  linier programming method and Deng-Feng Li’s model in that matrix game. We also explain about how to applicating two person zero sum model to solve the marketing problem.Keywords: Game Theory, Zero Sum Game, Fuzzy Number, Linier Programming Method, Deng-Feng Li’s model 
PELABELAN E-CORDIAL PADA BEBERAPA GRAF CERMIN Ermi Suwarni; Lucia Ratnasari
Jurnal Matematika Vol 1, No 1 (2012): jurnal matematika
Publisher : MATEMATIKA FSM, UNDIP

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Abstract

Abstract: Let G be a graph with vertex set V(G) and edge set E(G) . Difine on function f of E(G) to {0,1}, for v∈V(G) value f(v) is obtained by two modulo price of amount of edges label than have insident to the vertex v . The function f is called an E -cordial labeling of G if conditions absolute value from difference the number of vertexs having label 0 and the number having label 1 less or equal 1, and absolute value from difference the number of edges having label 0 and the number of edges having label 1 less or equal 1. Graph which admits of E -cordial labeling is E-cordial graph. The mirror graph M(G) is a bipartite graph with a partite sets V1 and V2 and G' be the copy of G with corresponding partite sets V'1 and V'2 . The mirror graph is obtained by joining each vertex of vi∈V2 to its corresponding vertex in v'i∈V2' by an edge. In this paper we study about labeling of mirror graph for cycle graph, path graph, hypercube graph and bipartite complite graph. The mirror graph of cycle graph, path graph, hypercube graph, and bipartite complite graph are E-cordial graphs.
SISTEM PAKAR UNTUK MENDETEKSI PENYAKIT JANTUNG KORONER MENGGUNAKAN FUZZY-MAMDANI Moch. Bayu Noviantoro; Priyo Sidik Sasongko
Jurnal Matematika Vol 2, No 4 (2013): JURNAL MATEMATIKA
Publisher : MATEMATIKA FSM, UNDIP

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Abstract

Expert system is a system basic computerize which use knowledge, fact, and intellectual activity to solve problem as usually can be solve by an expert on that field. Application of fuzzy – Mamdani method on expert system purpose to explain expert knowledge on not absolute, not complete and so complicated field. One of expert system application is to detect heart coronary disease. Heart coronary disease is the first killer in Indonesia. The number of  patients is so many maked the role of medical personnel often have limitation in detecting heart coronary disease. In this final paper has been made expert system application program in detecting heart coronary disease by fuzzy – Mamdani. Risk factors that influence heart coronary disease are age, LDL, total cholesterol, HDL, triglycerides, sistolik blood pressure, and diastolik blood pressure. Based on that risk factors will be obtained output which is risk percentage a person who is infected heart coronary disease. Keywords : Expert system, fuzzy – Mamdany, heart coronary disease
KUOSIEN SEMIRING DAN SEMIRING YANG DIBENTUK DARI KELAS-KELAS KONGRUENSI SUATU SEMIRING Atika Ayuningtyas
Jurnal Matematika Vol 4, No 4 (2015): (OKTOBER2015)
Publisher : MATEMATIKA FSM, UNDIP

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Abstract

 ABSTRAK. An ideal of a semiring can be formed as set of all coset of ideal semiring. The set of all coset of ideal semiring can be formed a new semiring called quotient semiring. The congruence classes on a semiring can be formed as a new semiring called semiring congruence classes.Keywords : semiring, ideal, congruence, quotient semiring, semiring classes congruence. 
MODEL PERSEBARAN KONSENTRASI BIOLOGICAL OXYGEN DEMAND 1-D PADA SISTEM PENGOLAHAN AIR LIMBAH KOLAM STABILISASI BERDASARKAN MEKANISME ADVEKSI – DIFUSI Moh Anis Faozi
Jurnal Matematika JURNAL MATEMATIKA 2016
Publisher : MATEMATIKA FSM, UNDIP

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Abstract

   1, Sunarsih2, Kartono31,2,3 Jurusan Matematika FSM Universitas DiponegoroJl. Prof. H. Soedarto, S.H. Tembalang Semarang   ABSTRACT. Salah satu masalah yang sering muncul dalam kawasan pemukiman penduduk adalah pencemaran air limbah domestik. Permasalahan ini jika tidak diatasi dapat merusak peran, fungsi, dan nilai estetika lingkungan bagi kehidupan di sekitarnya. Oleh karena itu diperlukan suatu sistem pengolahan air limbah sebelum dibuang ke lingkungan. Salah satunya adalah IPAL Sewon Bantul dengan menggunakan kolam stabilisasi fakultatif. Konsentrasi BOD merupakan tolok ukur kualitas pengolahan air limbah yang dijadikan sebagai baku mutu pengolahan air limbah domestik sehingga diperlukan suatu informasi tentang karakteristik pola persebaran konsentrasi BOD dalam sistem pengolahannya. Salah satu cara yang dapat digunakan untuk mengetahui pola persebaran konsentrasi polutan BOD adalah menggunakan model matematika berupa persamaan differensial parsial 1 (satu) – dimensi dengan syarat batas Dirichlet Non Homogen yang dibangun dari model transport berdasarkan mekanisme adveksi-difusi. Model diselesaikan secara analitik dengan menggunakan metode pemisahan variabel (separation variable). Berdasarkan solusi model diketahui bahwa semakin jauh polutan tersebar maka konsentrasi BOD semakin menurun. 
AUTOMORFISMA GRAF WARNA CAYLEY YANG DIBANGUN OLEH SUATU GRUPOID Bety Dian Kristina Ningrum; Bambang Irawanto
Jurnal Matematika Vol 1, No 1 (2012): jurnal matematika
Publisher : MATEMATIKA FSM, UNDIP

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Abstract

Groupoid G adalah suatu himpunan tak kosong yang tertutup terhadap operasi biner,himpunan generator A grupoid merupakan subset dari grupoid dimana setiap elemen grupoid dapatditulis sebagai hasilkali berhingga pada elemen generator.
Pengaruh Learning EffectBergantung-Waktu dan Deteriorasi Terhadap Penjadwalan Mesin Tunggal Dian Ayu Nurul Ihsani; Sunarsih Sunarsih
Jurnal Matematika Vol 3, No 4 (2014): JURNAL MATEMATIKA
Publisher : MATEMATIKA FSM, UNDIP

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Abstract

 Learning effect and deterioration do not fragmentary happen all the time. If both of them simultaneously found, the processing time of the job will increase yet decrease from the plan at once. The actual processing time of jobs are defined by function of their starting times and positions in the sequence. The effect of learning and deterioration on single machine scheduling at this paper is applied at a paper-mill. Learning effect as a result of regular performance-evaluation at this paper-mill reduce the effect of deterioration up to 206,5509 hours. Routing jobs by Earlier Due Date (EDD) rule construct the optimal result under maximum lateness case in this paper than either Most Urgent Job (MUJ) or Shortest Processing Time (SPT) do. The maximum lateness under EDD rule is 13,6% less than sequence that is recently used in that paper-mill. 
ANALISA KESTABILAN MODEL MATEMATIKA PENYAKIT PNEUMONIA DENGAN CARRIERS Hanik Rahmawati
Jurnal Matematika Vol 4, No 2 (2015): JURNAL MATEMATIKA
Publisher : MATEMATIKA FSM, UNDIP

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Abstract

 ABSTRACT. Pneumonia disease is lung infammation disease caused by microorganism such as Streptococcus pneumoniae bactery. This final project presented a mathematical model that describe dinamic pneumonia disease population in children under five years. The model used SICR are susceptible, infected, carriers, and recovered. Analysis to the model is conducted to decide whether pneumonia will spread within population with reproduction number. Using Routh-Hurwitz criterion we obtained free disease equilibrium and endemic equilibrium. From stability analysis of simulation result it is known that the disease free eqilibrium unstable while the endemic equilibrium stable local asimtotic with . 
SUB KS-SEMIGRUP FUZZY DAN ASPEK-ASPEK YANG TERKAIT Tessa Danty Fajriyah; Suryoto Suryoto
Jurnal Matematika Vol 1, No 1 (2012): jurnal matematika
Publisher : MATEMATIKA FSM, UNDIP

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Abstract

Suatu KS-semigrup merupakan struktur aljabar yang dilengkapi dengan dua operasi biner dan memenuhi aksioma-aksioma yaitu BCK-aljabar, semigrup, dan bersifat distributif kiri dan distributif kanan. Dengan menerapkan teori himpunan fuzzy dan teori ideal pada proses fuzifikasi didapat KS-semigrup fuzzy. Teori himpunan fuzzy dapat diimplementasikan menjadi sub KS-semigrup fuzzy jika dibentuk himpunan bagian fuzzy μ :X→[0,1]  dan aspek-aspek pada teori ideal dibahas mengenai KS-ideal fuzzy dan KS-p-ideal fuzzy.
PELABELAN GRACEFUL SATU MODULO PADA BEBERAPA GRAF EULE Isa Isa; Lucia Ratnasari
Jurnal Matematika Vol 3, No 4 (2014): JURNAL MATEMATIKA
Publisher : MATEMATIKA FSM, UNDIP

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Abstract

 ABSTRACT. A graph  with  edges is said to be one modulo  graceful graph () if there is a injective function from vertex set of graph  to  in such a way that  induces a function  from edge set of graph  to  defined as  is bijective.  In this Last Project, the following Euler graphs : n-polygonal snakes,  and  under certain conditions which admit one modulo  graceful labeling () are learned.  

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