Modifikasi Aljabar Fuzzy Untuk Sistem Persamaan Linear Fuzzy Menggunakan Meto…

This thesis discusses aboud fully fuzzy linear equation modifications of trapezoidal fuzzy beginning by modifacation algebra such as multiplication of fuzzy number, division of fuzzy number and invers of fuzzy number. Then given a definition when Trapezoidal fuzzy number is said to be positive or negative by using broad rules on the positive x-axis area and negative x-axis area. Finally, th…

Penjadwalan Pendaratan Pesawat Terbang Di Landasan Pacu Tunggal

This thesis presents an aircraft landing scheduling problem at single run-way. The focus of this discussion is to minimize the additional costs due to non-compliance of the aircraft landing target at a given time. A mix integer programming approach is used to solve this problem. At the end of this study a simulation is given to see the result of applying the method in this issue. The result cos…

Optimisasi Pemilihan Saham Portofolio Dengan Model Weighted Meta Goal Program…

This thesis discusses the optimization of portfolio stock selection using the weighted meta goal programming (WMGP) model. The optimization problem of stock portfolio selection with the WMGP model is solved by combining the weight of trust in each type of WMGP and comparing it with the weighted goal programming (WGP) portfolio. The final result is in the form of the selection of five stocks whi…

Metode Dua Langkah Berorde Enam Untuk Menyelesaikan Persamaan Nonlinear Berak…

This thesis discusses two two-step methods for finding multiple roots of nonlinear equations. Both methods use Newton’s method for multiple roots in the first step. For the second step the first and second methods are respectively using the Osada method and the linear combination of the Newton-Halley and Newton-Osada methods. Analytically, the two methods have a six-order convergenc…

Alternatif Aritmatika Bilangan Fuzzy Segitiga Untuk Menentukan Invers Matriks…

The positiveness of a triangular fuzzy number will be introduced using the area concept. Then an alternative arithmetic for triangular fuzzy number will be constructed, especially for inverse of triangular fuzzy number and inverse of fuzzy matrix. The inverse of fuzzy matrix can be applied to solving fully fuzzy linear system directly. Keywords: Arithmetic fuzzy number, triangular fuzzy numb…

Pengembangan Teorema Dao Pada Enam Circumcenter

This thesis gives some consequences of Dao’s Theorem on six circumcenters associated with a cyclic hexagon. Furthermore, it is also given the development of the Dao’s theorem in forming two pairs of orthologic triangles whose orthologic centerpoint is equal to the center point of the initial circle, with proof using a simple concepts that the high school student can understand, they are…

KARAKTERISTIK NILAI R PADA PERSAMAAN 11x ≡ R (Mod 100) DAN 111x ≡ R (Mod…

This thesis discusses some of the r characteristic that satisfy the equation 11x ≡ r (mod 100) and 111x ≡ r (mod 1000), where r € Ɲ and positive integer x ≥ 0. In general the r value obtained is x as tens and the units is 1. In the equation 11x ≡ r (mod 100) and 111x ≡ r (mod 1000), for x = 10m the value r = 1 and for the value x = 10m + 1 obtained value r = 11. The value obta…

Multiple Kosnita Menggunakan Incenter Dan Centroid Melalui Excenter

Kosnita’s theorem is usually constructed using circumcenter-circumcenter. In this thesis, Kosnita’s theorem is developed by using incenter-circumcenter, incenter-incenter, incenter-centroid and centroid-centroid through excenter triangle. The proof of this theorem uses the simple geometry concept such as bisector, centroid, orthocenter and congruency. In this thesis it can be proved th…

Premi Asuransi Jiwa Gabungan Dengan Tingkat Bunga Hull-White

This final project discusses the premium of the insurance the joint life status with Pareto distribution and Hull-White model. In this project, insurance of person are limited to only two persons with the age x and y years where the premium payed until one of the death of insurance clients. On joint life insurance, determining the premium is associated with individual life insurance. The c…

Uji Primalitas Generalisasi Bilangan Fuss-Catalan, Bilangan Lobb Dan Bilangan…

This nal project discusses the primality of generalized Fuss-Catalan, Lobb number and ballot number. The generalized Fuss-Catalan Fm(n; k) and Lobb numbers Lm (n;k) are proven prime with m  2 and n; k  1. Then the primality of ballot numbers is proven. The primality of these numbers are proven by direct method. This is a review of paper of Chou et al. [Journal of Integer Sequences, 21 …

Generalisasi Metode Iterasi Gauss-Seidel Untuk Menyelesaikan Sistem Persamaan…

This nal project discusses the generalization of Gauss-Seidel iteration method, by forming splitting like the Gauss Seidel method, to solve the system of absolute value equations. Before proving the convergence of the method, rst an analysis is carried out on how to obtain solutions from the application of the generalization of the Gauss-Seidel method. The convergence of the discussed me…

Penyelesaian Masalah Penugasan Dengan Metode Selisih Dua Elemen Baris Dan Kol…

This nal project discusses the assignment problems. This type of assignment problem is completed by using a least cost technique. The result of this method is to minimize or maximimize the objective function in balanced or unbalanced cases, which aims to the lowest cost assignment. Illustrative examples with a least cost assignment method are given as an alternative to the Hungarian metho…

Penyelesaian Masalah Penugasan Dengan Matriks Biaya Dalam Interval

This nal project discusses the solution of assignment problems with a cost matrix in intervals. The assignment problem is completed by modifying the cost matrix becomes the cost matrix in intervals and solved using the Hungarian method. The purpose of this method is to minimize the cost of the assignment so that the optimal cost are obtained. An illustrative examples is given to show the …

Aproksimasi Kuadratik Integral Fraksional Riemann-Liouville Dan Turunan Caput…

This project discusses a quadratic approximation method of the Riemann-Liouville fractional integral and Caputo’s fractional derivative. A quadratic polynomian is used to approach function that appear in the definitions of Riemann-Liouville fractional integral and Caputo fractional derivative. Using this polynomial, a quadratic approximation formula of Riemann-Liouville fractional integr…

Menghitung Nilai Fungsi Partisi Menggunakan Metode Ewell Dan Merca

A partition of a positive integer is the representation of the positive integer its self or sums of other positive integers, while the partition function is the number of partitions. This nal project disscusses a method to compute the values of the partition function using Ewell's method and Merca's method. This is a review of some parts of Merca's paper [Journal of Number Theory, 164 (201…

Hubungan Antara Barisan Yang Menyerupai Barisan Fibonacci Dan Barisan K-Lucas…

This final project discusses a new generalization of Fibonacci sequence called the Fibonacci-like sequence. Furthermore it discusses the relation between Fibonacci-like sequence and k-Lucas sequence by introducing special matrix. By using the matrix, Cassini’s identity for Fibonacci-like sequence, and some relations between Fibonacci-like sequence and k-Lucas sequence are obtained. Then …

Keberlakuan Determinan Matriks Bilangan Fuzzy Segitiga Dalam Bentuk Parameter

This final project discusses application of determinant matrix whose elements are triangular fuzzy number in the form of parameters. At the beginning it is shown that the properties that apply to real number also apply to triangular fuzzy number. Furthermore, it is shown that some matrix properties for real number also apply to fuzzy matrix. Development of triangular fuzzy number concept b…

Q-Analog Representasi Riordan Dari Matriks Q-Pascal

This final project discusses the proof for q-analogue of the Riordan representation of the q-Pascal matrices and q-analogue of the Riordan representation for its invers q-Pascal matrix. This project is completed by using binary operations ∗q for q-Pascal matrices and binary operations ∗1=q for invers q-Pascal matrix. This final project is a review of some parts of article Tu˘glu et al.…

Titik Tetap Untuk Barisan Fungsi

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35 hlm.; 30 cm

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LAPORAN PENELITIAN

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Teorema Titik Tetap Dalam Ruang Banach Konvek Seragam

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20 hlm.; 30 cm

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