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INDONESIA
MATEMATIKA
Published by Universitas Diponegoro
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Mathematics
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Articles 8 Documents
 1 
Search results for , issue "Vol 12, No 2 (2009): JURNAL MATEMATIKA" : 8 Documents clear
BILANGAN KROMATIK UNTUK GRAF FUZZY LENGKAP DAN GRAF FUZZY BIPARTISI LENGKAP R, Isnaini
MATEMATIKA Vol 12, No 2 (2009): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

A fuzzy graph G(V,σ,μ) is a graph which consist of a set of fuzzy nodes σ : V ® [0,1] and a set of fuzzy edges µ: E® [0,1], so that μ(uv) ≤ σ (u) Ùσ (v) "u,vÎV. A fuzzy graph  G = (V,σ,μ) is called complete if μ(uv) = min{σ(u),σ (v)} "u,vÎV. A fuzzy graph G = (V,σ,μ) is called a bipartite fuzzy graph if set of nodes V can divide into two disjoint sets V1 and V2 so that μ(v1v2) = 0 if v1,v2ÎV1 or v1,v2ÎV2.  If on a bipartite fuzzy graph G, satisfy μ(uv) = min{σ (u),σ(v)} for all uÎV1 and vÎV2, then G is called a complete bipartite fuzzy graph.  A k-colouring on a fuzzy graph G(V,σ,μ) is a family of fuzzy sets on V:  G = {g1, g2, g3,…, gk} which satisfy the following conditions : i) Ú G = σ;  ii) gi Ù gj = 0, for all pair of nodes u, v, which adjacent in a fuzzy graph G and min{gi(u),gi(v)} = 0 (1 ≤ i ≤ k). The smallest positive integer k on k-colouring of a fuzzy graph G is called chromatic number of G. Then can be proved that the chromatic number of a complete fuzzy graph with n nodes is cF(Kσ) = n and the chromatic number of a complete bipartite fuzzy graph is cF(Kσ1,σ2) = 2.  
UJI KOMPARATIF TERHADAP DUA STATISTIK UJI TYPE KOLMOGOROV SMIRNOV Rusgiyono, Agus
MATEMATIKA Vol 12, No 2 (2009): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

In several statistics handbooks of statistics gave the following formula for the computation of the Kolmogorov goodness of fit statistic is    . And the alternative formula test statistic  to  measure  distance for two distribution functions is used   For actual data, the difference is likely to be less than the upper bound. This form makes it clear that an upper bound on the difference between these two formulas is  For example, for N = 20, the upper bound on the difference between these two formulas is 0.05  For N = 100, the upper bound is 0.01. In practice, to large sample sizes (say N ≥ 50), these formulas are essentially equivalent.
FUZZY MODEL BASED SOLVING NONLINEAR SYSTEMS WITH CASE STUDY OF TRUCK-TRAILER SYSTEM sasongko, priyo Sidik; indriyati, Indriyati; sarwoko, Eko adi
MATEMATIKA Vol 12, No 2 (2009): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

 In this paper, we consider the fuzzy controller problem for nonlinear system using fuzzy models. The controller is constructed using a design model of the dynamical process to be controlled. The design model obtained from the truth model using a fuzzy modeling approach. The Takagi-Sugeno fuzzy model is adopted for fuzzy modeling of the nonlinear system. The truth model represents a detailed description of the process dynamic. The model is used in a simulation to evaluate the performance of the controller design. Stabilization of the closed-loop discrete Takagi-Sugeno systems using the well-known PDC (Paralel Distributed Compensation) technique is investigated. The design procedure we adopt is to convert the design of the controller to a Linear Matrix Inequality (LMI) problem so that the stability of the whole system can be assured.  
ASURANSI KESEHATAN KUMPULAN UNTUK PERAWATAN RUMAH SAKIT munadi, MUnadi; sunarsih, Sunarsih
MATEMATIKA Vol 12, No 2 (2009): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Health insurance is a guarantee to minimize financial loss from sickness. Group health insurance spital care is health insurance. Health insurance used for Pegawai Negeri Sipil (PNS) and retering PNS and TNI/Polri and also their family that called ASKES service insurance. Computation hospital health insurance premiums affected by age and sex, also use Daily Hospital Benefit table for group health insurance, while ASKES service premiums based on class and work time and the computation and fixed by Departemen Keuangan Republik Indonesia. To difference between group health insurance premiums with ASKES service premiums for hospital care is grat 1:7.  
MATRIKS INVERS MOORE-PENROSE DALAM PENYELESAIAN SISTEM PERSAMAAN LINIER R., IDA M.; Udjiani, Titi
MATEMATIKA Vol 12, No 2 (2009): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

In this paper we define and study about The Moore Penrose Inverse of any matrices under the rank. We apply our result to study of Solution Linear Equation Sistem  
PENGENALAN CITRA WAJAH MANUSIA DENGAN MENGGUNAKAN METODE EIGENFACE supiyanto, Supiyanto; suparwati, Titik
MATEMATIKA Vol 12, No 2 (2009): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Face applicable to identify the somebody identity for security. Intention of this research is study the face recognition by using eigenface method and make the application program which can be used to recognize the face in so many expression, position as well as face experienced of the trouble  effect  existence of noise. In Eigenface method, decoding is done by calculating eigenvector then represented in a large matrix. Eigenvector is also declared as facial characteristics, therefore why this method is called with Eigenface. Face input which at this application is in the form of face image of the size and same resolution. Output Application is in the form of class closest from face which wish recognized. This application made with the program delphi 7 which enough rely on and easy to in calculation mathematic. Result of examination of face recognition by using approach eigenface to used sampel, program can recognize the face truly with the efficacy 88,2%.  
EKUIVALENSI RING RICKART DAN RING BAER BESERTA *-RINGNYA hanifah, Hanifah
MATEMATIKA Vol 12, No 2 (2009): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

Rickart ring and Baer ring as well as its *-ring are a particular form of ring where its annihillator is generated by an idempotent element or projection. By using concept of annihilator, idempotent, projection and inexistence of zero divisor on ring can be showed equivalent among the rings.  
RUANG BANACH SEBAGAI RUANG OPERATOR YANG DIBANGKITKAN OLEH FUNGSI TERUKUR DAN TERBATAS ESSENSIAL Muslim A; sumanto sumanto
MATEMATIKA Vol 12, No 2 (2009): JURNAL MATEMATIKA
Publisher : MATEMATIKA

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Abstract

In this paper, we construct a new normed Banach space  from collection of all Carleman operators from Hilbert spaceinto Lebesgue space , denoted by  with respect to the norm for every  generated by an essensially bounded measurable function .

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