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INDONESIA
MATEMATIKA
Published by Universitas Diponegoro
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Mathematics
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Articles 7 Documents
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Search results for , issue "Vol 13, No 3 (2010): JURNAL MATEMATIKA" : 7 Documents clear
SEMI-HOMOMORFISMA BCK-ALJABAR A, Deffyana Prastya; suryoto, suryoto
MATEMATIKA Vol 13, No 3 (2010): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

A BCK-algebra is one of the algebraic structure generated over an abelian group. So that, some concepts in group also can be found this structure, for instance, if at a group we have a homomorphism, then at the BCK-algebras we also have a homomorphism, exactly a homomorphism of BCK-algebras. In this paper we discussed a semi-homomorphism of BCK-algebara as generalization of a homomorphism of BCK-algebras. It can be shown every homomorphism of BCK-algebras is a semi-homomorphism of BCK-algebras, conversely not true. By utilizing concept of ideal of BCK-algebras can be proved a semi-homomorphism of BCK-algebras is a homomorphism of BCK-algebras.
OPERASI GABUNGAN, JOIN, KOMPOSISI DAN HASIL KALI KARTESIAN PADA GRAF FUZZY SERTA KOMPLEMENNYA Novia, Tina Anggitta; Ratnasari, Lucia
MATEMATIKA Vol 13, No 3 (2010): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

A fuzzy graphs  is a nonempty set together with a pair function  and satisfied  This paper described about some operations on fuzzy graphs such as union, join, compositions and cartesian product. Complement of union two fuzzy graphs is join of their complement, join complement of two fuzzy graphs is union their complement. Complement of composition two strong fuzzy graphs is composition of their complement, but complement of cartesian product two stong fuzzy graphs is need not cartesian product of their complement.
KESTABILAN SISTEM KONTROL JARINGAN TERHADAP WAKTU TUNDA br. Ginting, Juliana; widowati, widowati
MATEMATIKA Vol 13, No 3 (2010): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

. In this paper, we proposed the stability analysis of networked control system with time delay. Delay in a network is something that can not be avoided when transmitted digital data over control devices. Network control system is discussed here consists of clock driven sensor, event driven controller, actuator, and plant. In the network control system usually contains delays and sampling period with effect the system stability. Stability region in a network control system can be represented through the relationship between Maximum Allowable Transfer Interval and sampling period.
PELABELAN TOTAL TITIK AJAIB PADA COMPLETE GRAPH DENGAN n GANJIL Irawati, Novi; Soelistyo, Robertus Heri
MATEMATIKA Vol 13, No 3 (2010): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Let G be a graph consists of edges and vertex. A vertex-magic total labeling of a graph  is a bijection map of union edges and vertex to the integers such that there exists a positive integer  satisfying , for every elements of vertex. Then k  is called a magic constant and G is called vertex-magic total graph. In this article, we consider a vertex-magic labeling of complete graph  for odd with use an algorithm which is composed of a modified construction magic square algorithm.
EFEK FUNGSI RCC DALAM AUTENTIKASI CITRA BERWARNA BERBASIS TRANSFORMASI INTEGER Wibawa, Helmi Arif
MATEMATIKA Vol 13, No 3 (2010): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

One method that can be used to authenticate the image is an integer transformation method. This method works on a single layer of color, so for the authentication process on a color image having more than one color layer, then the RCC function can be used to reduce existing color layer. For some cases, RCC function turns out to give a negative effect on the image authentication process and the quality of the image. This article discusses about the effect of the use of RCC functions in the process of image authentication. Testing is done by comparing the results between processes that use RCC functions and processes that do not use it. The parameters used are the values ​​saved bits, storage capacity, PSNR values ​​and ability to perform the authentication process  
MODEL SISTEM MULTI AGEN LINEAR DENGAN FORMASI SEGITIGA Tjahjana, Redemtus Heru
MATEMATIKA Vol 13, No 3 (2010): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

In this paper, a linear model of multi agent movement in equilateral triangle formation is considered. The agents have initial and final state in triangular formation. Along the motion, all agents can not move far away and collide. The agents are steered from initial position to final position in fixed time. For this goal, optimal control with Pontryagin Maximum Principle  is applied and the classic difficulty in the optimal control problem is appear. To solve the classic difficulty above, the steepest descent method is used.
MODEL DINAMIS RANTAI MAKANAN TIGA SPESIES Pratikno, Wiji Budi; Sunarsih, Sunarsih
MATEMATIKA Vol 13, No 3 (2010): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

. Three species food chain models are model that express the interaction of three populations of prey, first predator and second predator populations. The models are derived from a combination of logistic growth model between prey population and predator population. Model that is used is a Holling type II functional response. The model consists of non linear differential equations with three dependent variables, there are  representing size of prey population at time ,  is size of  first predator population at time , and  is size of second predator population at time . From the result of stability analysis conducted on the food chain model of three species are found six equilibrium points based on the value eigen, and six cases of different stability.

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