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Implementasi Fuzzy Multi Criteria Decision Making Pada Seleksi Beasiswa Bank Indonesia Hakmi Rais Fauzan; Evawati Alisah; Heni Widayani
Jurnal Riset Mahasiswa Matematika Vol 1, No 4 (2022): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

The Bank Indonesia Scholarship is a scholarship provided by Bank Indonesia for students at various universities, one of which is UIN Maulana Malik Ibrahim Malang. In the scholarship selection process, there are several criteria that affect the graduation of prospective scholarship recipients. However, often the process is not transparently. So a calculation method is needed, one of which is using Fuzzy Multi Criteria Decision Making (FMCDM). With FMCDM it can help to get an accurate and optimal decision on scholarship recipients. The FMCDM process begins with collecting information related to scholarships, scholarship applicants, and a set of criteria that will be used for consideration of scholarship acceptance. The set of criteria consists of 11 criteria, namely, Academic Achievement Index (GPA), international level achievement, national level achievement, provincial level achievement, district/city level achievement, father's occupation, mother's income, number of family dependents, house area, land and building tax, as well as electricity bills. The next step is to evaluate the fuzzy set by aggregating the weight of the criteria and the degree of compatibility of each alternative with the criteria. The aggregation result is called the fuzzy fit index which consists of 3 values, namely, the y value which represents the lower limit of the aggregation result, the q value which represents the middle limit, and the z value which represents the upper limit value. The three values are ranked using a ranking method for fuzzy numbers with a degree of optimism. So that the total integral value for each alternative will be obtained, which will be the decision in accepting the scholarship. From the results of the FMCDM, there is a ranking of decision alternatives from the highest priority to the lowest in determining scholarship acceptance.

Rekonstruksi Model Matematis Pada Ornamen Pagoda Tian Ti Menggunakan Lindenmayer System Muhammad Zia Alghar; Hakmi Rais Fauzan
Jurnal Multidisiplin West Science Vol 3 No 02 (2024): Jurnal Multidisiplin West Science
Publisher : Westscience Press

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58812/jmws.v3i02.976

Ornamen merupakan hiasan memiliki nilai seni dan budaya yang tinggi. Salah satu ornamen yang memiliki nilai budaya yang tinggi dapat ditemukan pada bangunan berbudaya, seperti Pagoda Tian Ti. Penelitian ini berujuan untuk mengembangkan bentuk-bentuk ornamen yang ada pada Pagoda Tian Ti secara matematis. Metode yang digunakan dalam penelitian ini yaitu lindenmayer system. Data diperoleh berdasarkan observasi lapangan, wawancara, dan studi literatur. Hasil penelitian menunjukkan bahwa ornamen pada Pagoda Tian Ti dapat dikaji secara matematis dengan L-system. Rekonstruksi ornamen dengan l-system juga menghasilkan bentuk-bentuk ornamen yang baru. Rekonstruksi ini didasarkan pada perubahan rasio, perubahan bentuk dasar, dan perubahan sudut. Hasil rekonstruksi ini menjadi jembatan bagi penelitian lain selanjutnya dalam merekonstruksi ornamen-ornamen berbudaya lainnya secara matematis.

Implementasi Fuzzy Multi Criteria Decision Making Pada Seleksi Beasiswa Bank Indonesia Fauzan, Hakmi Rais; Alisah, Evawati; Widayani, Heni
Jurnal Riset Mahasiswa Matematika Vol 1, No 4 (2022): Jurnal Riset Mahasiswa Matematika
Publisher : Mathematics Department, Maulana Malik Ibrahim State Islamic University of Malang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.18860/jrmm.v1i4.14463

The Bank Indonesia Scholarship is a scholarship provided by Bank Indonesia for students at various universities, one of which is UIN Maulana Malik Ibrahim Malang. In the scholarship selection process, there are several criteria that affect the graduation of prospective scholarship recipients. However, often the process is not transparently. So a calculation method is needed, one of which is using Fuzzy Multi Criteria Decision Making (FMCDM). With FMCDM it can help to get an accurate and optimal decision on scholarship recipients. The FMCDM process begins with collecting information related to scholarships, scholarship applicants, and a set of criteria that will be used for consideration of scholarship acceptance. The set of criteria consists of 11 criteria, namely, Academic Achievement Index (GPA), international level achievement, national level achievement, provincial level achievement, district/city level achievement, father's occupation, mother's income, number of family dependents, house area, land and building tax, as well as electricity bills. The next step is to evaluate the fuzzy set by aggregating the weight of the criteria and the degree of compatibility of each alternative with the criteria. The aggregation result is called the fuzzy fit index which consists of 3 values, namely, the y value which represents the lower limit of the aggregation result, the q value which represents the middle limit, and the z value which represents the upper limit value. The three values are ranked using a ranking method for fuzzy numbers with a degree of optimism. So that the total integral value for each alternative will be obtained, which will be the decision in accepting the scholarship. From the results of the FMCDM, there is a ranking of decision alternatives from the highest priority to the lowest in determining scholarship acceptance.

Reversible thinking in solving mathematics problems in terms of cognitive style Fauzan, Hakmi Rais; Hidayanto, Erry; Chandra, Tjang Daniel
Al-Jabar: Jurnal Pendidikan Matematika Vol 15 No 2 (2024): Al-Jabar: Jurnal Pendidikan Matematika
Publisher : Universitas Islam Raden Intan Lampung, INDONESIA

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24042/ajpm.v15i2.24527

Background: Reversible thinking, the ability to think bidirectionally, is a crucial component of mathematical problem-solving. Differences in cognitive styles, particularly field-dependent and field-independent characteristics, play a significant role in students' reversible thinking, necessitating a deeper exploration of these relationships.Aim: This study aims to describe students' reversible thinking processes in solving mathematical problems based on their cognitive styles, focusing on field-dependent and field-independent traits.Method: A qualitative descriptive approach was applied to 32 eighth-grade students from a junior high school in Malang City, Indonesia. Data were collected using the Group Embedded Figures Test (GEFT), a reversible thinking test, and semi-structured interviews. Students were categorized into field-dependent and field-independent groups using GEFT before undertaking a reversible thinking test. Semi-structured interviews were conducted to gain deeper insights into their problem-solving approaches.Results: The findings indicate that students with field-independent cognitive styles exhibit better performance in the aspects of negation and reciprocity. They carefully apply problem-solving strategies, consistently reverting to initial values after achieving correct solutions. Conversely, students with field-dependent cognitive styles are more prone to errors, particularly in changing operation signs and applying the concept of reciprocal equivalence.Conclusion: This study highlights significant differences in reversible thinking between students with field-dependent and field-independent cognitive styles. The results suggest the need for tailored teaching methods to enhance reversible thinking based on cognitive styles. Further research is recommended to explore barriers and additional factors influencing reversible thinking.

Rekonstruksi Model Matematis Pada Ornamen Pagoda Tian Ti Menggunakan Lindenmayer System Alghar, Muhammad Zia; Fauzan, Hakmi Rais
Jurnal Multidisiplin West Science Vol 3 No 02 (2024): Jurnal Multidisiplin West Science
Publisher : Westscience Press

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.58812/jmws.v3i02.976

Ornamen merupakan hiasan memiliki nilai seni dan budaya yang tinggi. Salah satu ornamen yang memiliki nilai budaya yang tinggi dapat ditemukan pada bangunan berbudaya, seperti Pagoda Tian Ti. Penelitian ini berujuan untuk mengembangkan bentuk-bentuk ornamen yang ada pada Pagoda Tian Ti secara matematis. Metode yang digunakan dalam penelitian ini yaitu lindenmayer system. Data diperoleh berdasarkan observasi lapangan, wawancara, dan studi literatur. Hasil penelitian menunjukkan bahwa ornamen pada Pagoda Tian Ti dapat dikaji secara matematis dengan L-system. Rekonstruksi ornamen dengan l-system juga menghasilkan bentuk-bentuk ornamen yang baru. Rekonstruksi ini didasarkan pada perubahan rasio, perubahan bentuk dasar, dan perubahan sudut. Hasil rekonstruksi ini menjadi jembatan bagi penelitian lain selanjutnya dalam merekonstruksi ornamen-ornamen berbudaya lainnya secara matematis.

Mathematics Education Students' Ability to Communicate Algorithmic Thinking in Solving Parabola Problems Mohammad Zahri; Nabila Ekaputri Widuri; Hakmi Rais Fauzan
Jurnal Didaktik Matematika Vol. 13 No. 1 (2026): Jurnal Didaktik Matematika
Publisher : Universitas Syiah Kuala

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.24815/jdm.v13i1.1991

Despite increasing attention to algorithmic thinking in mathematics education, few studies have examined how students in mathematics education communicate algorithmic thinking processes when solving analytic geometry problems. This study aims to describe the ability of mathematics education students to communicate algorithmic thinking processes when solving parabola problems. A descriptive qualitative approach was employed, involving four mathematics education students who had taken the Analytical Geometry course as research subjects. Data were collected through Student Activity Sheets (SAS) and semi-structured interviews, then analyzed through data condensation, data display, and conclusion drawing and verification. Data validity was ensured through methodological triangulation. The findings revealed substantial variation in students' ability to communicate algorithmic thinking processes, ranging from very good to low levels. The findings highlight the importance of strengthening conceptual understanding in analytic geometry instruction to support students' algorithmic reasoning and mathematical communication. Students with strong conceptual understanding tend to communicate each step of the solution clearly and logically, whereas students who rely solely on memorization struggle with problems that require algorithmic reasoning.

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