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All Journal Jurnal Filsafat BAREKENG: Jurnal Ilmu Matematika dan Terapan Jurnal Pengabdian Masyarakat MIPA dan Pendidikan MIPA Sainmatika: Jurnal Ilmiah Matematika dan Ilmu Pengetahuan Alam Jurnal Varian JATI EMAS (Jurnal Aplikasi Teknik dan Pengabdian Masyarakat) Jurnal Statistika dan Matematika (Statmat) Jurnal Pasopati : Pengabdian Masyarakat dan Inovasi Pengembangan Teknologi Journal of Mathematics: Theory and Applications INTAN Jurnal Penelitian Tambang VARIANSI: Journal of Statistics and Its Application on Teaching and Research Journal of Mathematics Theory and Applications
Nugraha K. F. Dethan
Universitas Timor
Aerospace Engineering Agriculture, Biological Sciences & Forestry Arts Humanities Automotive Engineering Chemical Engineering, Chemistry & Bioengineering Chemistry Civil Engineering, Building, Construction & Architecture Computer Science & IT Control & Systems Engineering Decision Sciences, Operations Research & Management Earth & Planetary Sciences Economics, Econometrics & Finance Education Electrical & Electronics Engineering Energy Engineering Environmental Science Health Professions Immunology & microbiology Industrial & Manufacturing Engineering Languange, Linguistic, Communication & Media Mathematics Mechanical Engineering Physics Public Health Social Sciences Transportation Other

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Aplikasi Teorema Polya dalam Menentukan Banyaknya Cara Pewarnaan Permukaan Oktahedron dengan m-Warna Anggelica Yunita Liu; Nugraha Dethan; Fitriani
Journal of Mathematics Theory and Applications Vol. 3 No. 2 (2025): Edisi April 2025
Publisher : Program Studi Matematika, Universitas Timor

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.32938/j-math.v3i2.9456

Abstract

One application of the permutation group concept is related to solving enumeration problems and one method that can solve this problem is Polya's Theorem. Polya's theorem is a calculation technique that combines abstract algebraic structures with combinatorics and can be used to calculate objects in permutation groups. A regular octahedron is an octahedron composed of eight equilateral triangles and the four sides of the octahedron meet at each vertex and have twelve edges. In 2015, research was carried out on the many ways to color the surface of a cube with m-colors. This research aims to determine the number of ways to color the surface of an octahedron with m-colors by using the Polya theorem and permutation groups to determine the rotational symmetry group formed by the octahedron as well as the number of cycle indices formed from each element in the rotational symmetry group itself. Based on the research results, it is obtained that the rotational symmetry group formed by the octahedron is S_4 and the number of cycle indices of the octahedron permutation group is Z(G) = 1/24*(x_1^8+6x_4^2+9x_2^4+8x_1^2*x_3^2) . After substituting the symmetry index and cycle index into the Polya theorem formula, we can conclude that the number of ways to color the octahedron surface with m-colors is 1/24*(m^8+17m^4+6m^2).
WEIGHTED ADDITIVE MODEL AND CHANCE CONSTRAINED TECHNIQUE FOR SOLVING NONSYMMETRICAL STOCHASTIC FUZZY MULTIOBJECTIVE LINEAR PROGRAM Mada, Grandianus Seda; Dethan, Nugraha K.F.; Blegur, Fried Markus Allung; Santos, Adriano Dos
BAREKENG: Jurnal Ilmu Matematika dan Terapan Vol 16 No 1 (2022): BAREKENG: Jurnal Ilmu Matematika dan Terapan
Publisher : PATTIMURA UNIVERSITY

Show Abstract | Download Original | Original Source | Check in Google Scholar | Full PDF (629.024 KB) | DOI: 10.30598/barekengvol16iss1pp291-302

Abstract

The problems of linear programming are developing from time to time, and its complexity is constantly growing. Various problems can be viewed as a multi-objective fuzzy linear programming, multi-objective stochastic linear programming or a combination of both. This research is focused on examining Multi-Objective Fuzzy Stochastic Linear Programming (MOFSLP) with each of the objective functions has a different level of importance to decision makers, or better known as the nonsymmetrical model. The objective function of the linear program contains fuzzy parameters, while the constraint function contains the fuzzy parameters and random variables. The purpose of this study is to develop an algorithm to transform the MOFSLP be a Program of linear Single-Objective Deterministic Linear Programming (SODLP) so that it can be solved using simplex method. In the process of transforming MOFSLP to SODLP, several approaches have been used. They are; weighted additive model, analytic hierarchy process and chance constrained technique. An example of numerical computations has been provided at the end of the discussion in order to illustrate how the algorithm works. The resulted Model and algorithm are expected to help companies in the decision making process.
Why Mathematics Shapes Reality: A Philosophical Inquiry Dethan, Nugraha K. F.; Nelloe, Merlyn Kristine
Jurnal Filsafat "WISDOM" Vol 35, No 2 (2025): (Article in Press)
Publisher : Fakultas Filsafat, Universitas Gadjah Mada Yogyakarta

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.22146/jf.106411

Abstract

Most discussions in the philosophy of mathematics have been dominated by questions concerning the nature of mathematical entities, such as numbers and sets, while comparatively little attention has been given to the applicability of mathematics. Yet mathematics has played an indispensable role in the development of the natural sciences, suggesting that any complete philosophy of mathematics must account for its remarkable effectiveness in describing the physical world. Two major schools of thought, namely Platonism and Nominalism, have largely neglected this issue and seem unable to provide a satisfactory explanation for the tremendous success of mathematics in the physical sciences. However, this limitation does not apply  universally across all philosophical approaches. This limitation specifically reflects the weakness of Platonism and Nominalism in connecting mathematical entities to empirical reality. In this article, we investigate the philosophy of mathematics from the standpoint of alternative views, particularly Steiner’s Anthropocentric approach and Franklin’s Aristotelian Realism, which offer promising frameworks for understanding the deep connections between mathematics and empirical reality. This preference for alternative approaches is justified by their potential to explain the effectiveness of mathematics as a tool in science, emphasizing its applicability and alignment with scientific contexts. The result of this study indicates that Aristotelian Realism provides a more robust framework for explaining the empirical success of mathematics compared to other approaches. Aristotelian Realism stands out as a superior philosophy of mathematics, centering its applicability as the core of its philosophical understanding.
Co-Authors Aloisius Loka Son Andika Ellena Saufika Hakim Maharani Anggelica Yunita Liu Azor Yulianus Tefa Eduardus Yosef Neonbeni Faustianus Luan Fitriani Fitriani Fitriani Fried Markus Allung Blegur jefry Presson Kolo, Maria Magdalena Luan, Faustianus Lukas Pardosi Mada, Grandianus Seda Merlyn Kristine Nelloe Nainoe, Eldaviana Obe, Leonardus Oktovianus R. Sikas Risna Erni Yati Adu Santos, Adriano Dos Tea, Marselina Theresia Djue Titu-Eki, Adept Yakoba Yusina Muanley Yakobus Pffeferius Edvend Saba Agu