Metode Urutan Parsial Untuk Menyelesaikan Masalah Program Linier Fuzzy Tidak Penuh

Not fully fuzzylinear programming problem have two shapes of objecyive function. that is triangular fuzzy number and trapezoidal fuzzy number. The decision variables and constants right segment only has a triangular fuzzy number. Partial order method can be used to solve not fully fuzzy linear programming problem with decision variables and constants right segment are triangular fuzzy number. The crisp optimal objective function value generated from the partial order method

An implementation of the Dilkstra algorithm for fuzzy costs (Technical report 2018)

This report presents an implementation the Dijkstra algorithm applied to a type V fuzz graph. This new algorithm can find the shortest path in a graph with edge costs are defined as positive triangular fuzzy number

Construction of symmetry triangular fuzzy number procedure (STFNP) using statistical information for autoregressive forecasting

Single-point data are used for data collection. However, data collected by various data collection methods are often exposed to uncertainties that may affect the information presented by the quantitative results. This also causes the forecast model developed to be less precise because of the uncertainties contained in the input data. It is essential to describe the uncertainty in data to obtain a realistic result from data analysis. However, most studies focus on model uncertainty regardless of data uncertainty. The data processing carried out may not always take care of uncertainty. When uncertainties in the raw data are not sufficiently handled, this creates more errors that are included in the predicted model. Standard procedures are also very limited to be followed in order to transform a single-point value into Triangular Fuzzy Number (TFN), which addresses the uncertainty. Thus, the data preparation procedure of Symmetry Triangular Fuzzy Number (STFN) is presented in this study to build an improved autoregressive model for time series forecasting. This study presents the proposed Symmetry Triangular Fuzzy Number Procedure (STFNP) using percentage error method and standard deviation method for first-order autoregressive forecasting. Percentage error rate method involves three different percentage rates, while the second method uses the standard deviation of the data. Simulations and verification procedures are presented and are accompanied with numerical examples using actual datasets of Air Pollutant Index and stock markets of selected ASEAN countries. This study reveals that the percentage error and standard deviation methods, which were used to construct the TFN, can achieve the same or better accuracy as compared to a single-point procedure. The results of the simulations and experiments show that the standard deviation method produces better results compared to the other proposed approaches and the conventional approach. Besides, the systematic procedure to construct the TFN does not deviate from single-point procedures. Importantly, uncertain data being treated avoids more uncertainties that would have been brought to the outcome of the forecast model and consequently improves prediction accuracy

PENDEKATAN TRIANGULAR FUZZY NUMBER DALAM METODE ANALYTIC HIERARCHY PROCESS

The study aims to design decision support system using triangular fuzzy number approach in Analytic Hierarchy Process method. The Analytic Hierarchy Process (AHP) is one of the decision support system method which controls experiences and intuition but critical at coupled comparative scales because it uses crisp. A triangular fuzzy number is used to approach AHP scale so as to obtain more fexible value of coupled comparison. The triangular fuzzy number-AHP method uses analysis synthetic extent in the priority processing implemented on ranking cases of potential acceptors of scholarship of PPA and BBM in Technic Faculty Tadulako University of Palu. The result is the average of mismatch between the result by triangular fuzzy number-AHP method and the result of manual work which are 23.93% of the PPA scholarship and 27,35% of the BBM scholarship.   Keyword :Triangular Fuzzy Number, Analytic Hierarchy Process, scholarshi

Fully Fuzzy Linear System in Circuit Analysis with the Study of Weak Solution

In this paper, a simpler method to solve a fully fuzzy linear system (FFLS) with unrestricted coefficient matrix is discussed. FFLS is applied in circuit analysis instead of crisp linear system to reflect the real life situation much better. Arithmetic operations of triangular fuzzy number (TFN) are justified by forming FFLS in an electrical circuit with fuzzy sources and fuzzy resistors and then the system was solved by the simpler method. Finally, the case of weak solution is overcome by proposing a new definition of TFN. Keywords: Fuzzy number, Triangular fuzzy number, Fully fuzzy linear system, Circuit analysis, Weak solutio

A Novel Method to Solve Assignment Problem in Fuzzy Environment

In the literature, there are various methods to solve assignment problems (APs) in which parameters are represented by triangular or trapezoidal fuzzy numbers. In this paper, we compare the assignment cost calculated by existing method with the assignment cost which has been found out in this paper without converting fuzzy assignment problem (AP) into crisp AP by using Fuzzy Hungarian Method (FHM), Robust’s Ranking Technique and operations for subtraction and division on triangular fuzzy number (TFN) proposed by Gani and Assarudeen (2012). Keywords: Fuzzy arithmetic, Triangular Fuzzy Number, Robust’s Ranking Function, Assignment Problem

Diagonally implicit multistep block method of order four for solving fuzzy differential equations using Seikkala derivatives

In this paper, the solution of fuzzy differential equations is approximated numerically using diagonally implicit multistep block method of order four. The multistep block method is well known as an efficient and accurate method for solving ordinary differential equations, hence in this paper the method will be used to solve the fuzzy initial value problems where the initial value is a symmetric triangular fuzzy interval. The triangular fuzzy number is not necessarily symmetric, however by imposing symmetry the definition of a triangular fuzzy number can be simplified. The symmetric triangular fuzzy interval is a triangular fuzzy interval that has same left and right width of membership function from the center. Due to this, the parametric form of symmetric triangular fuzzy number is simple and the performing arithmetic operations become easier. In order to interpret the fuzzy problems, Seikkala’s derivative approach is implemented. Characterization theorem is then used to translate the problems into a system of ordinary differential equations. The convergence of the introduced method is also proved. Numerical examples are given to investigate the performance of the proposed method. It is clearly shown in the results that the proposed method is comparable and reliable in solving fuzzy differential equations

Neutrosophic Triangular Fuzzy Travelling Salesman Problem Based on Dhouib-Matrix-TSP1 Heuristic

In this paper, the Travelling Salesman Problem is considered in neutrosophic environment which is more realistic in real-world industries. In fact, the distances between cities in the Travelling Salesman Problem are presented as neutrosophic triangular fuzzy number. This problem is solved in two steps: At first, the Yager’s ranking function is applied to convert the neutrosophic triangular fuzzy number to neutrosophic number then to generate the crisp number. At second, the heuristic Dhouib-Matrix-TSP1 is used to solve this problem. A numerical test example on neutrosophic triangular fuzzy environment shows that, by the use of Dhouib-Matrix-TSP1 heuristic, the optimal or a near optimal solution as well as the crisp and fuzzy total cost can be reached

SISTEM PENDUKUNG KEPUTUSAN BERBASIS METODE SET PAIR ANALYSIS DENGAN PENDEKATAN TRIANGULAR FUZZY NUMBER UNTUK MENENTUKAN PENERIMA BEASISWA PEMERINTAH ACEH

Penelitian ini dilakukan untuk menentukan tingkat prioritas penerima beasiswa. Multi-attribute decision-making adalah suatu model untuk mengambil keputusan dengan mempertimbangkan berbagai atribut. Untuk memberikan informasi pengambilan keputusan secara objektif, triangular fuzzy number digunakan untuk merepresentasikan nilai untuk masing-masing atribut. Peneliti menggunakan metode Set Pair Analysis dalam mengurutkan tingkat prioritas penerima beasiswa. Metode Set Pair Analysis melakukan perhitungan terhadap Positive Idel Conection Number dan Negative Ideal Connection Number. Penelitian ini menggunakan data sampel dari LPSDM Aceh dalam menentukan rekomendasi keputusan penerima beasiswa reguler S3 luar negeri tahun 2017. Hasil dari penelitian memberikan nomor berkas 11, 13, 17, 18 dan 6 adalah 5 rekomendasi terbaik. Berdasarkan hasil penelitian, analisis sensitivitas dilakukan dengan menukar bobot dari kriteria penilaian. Analisis sensitivitas memberikan nomor berkas 11, 13, 17, 18 dan 6 sebagai 5 terbaik hasil rekomendasi keputusan. Kata kunci : Set Pair Analysis, Triangular Fuzzy Number, Analisis Sensitivitas