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ON DETERMINING MANINJAU LAKE WATER QUALITY STATUS USING THE TSUKAMOTO AND MAMDANI METHODS DELLA, SEPTI RAHMA; NAZRA, ADMI; ARNAWA, I MADE
Jurnal Matematika UNAND Vol. 14 No. 4 (2025)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.14.4.424-438.2025

Abstract

Pada penelitian ini digunakan dua metode logika fuzzy, yaitumetode Tsukamoto dan metode Mamdani dalam membuat sebuah model penentuanstatus mutu air Danau Maninjau. Variabel input yang digunakan meliputisuhu air, pH, DO (Dissolved Oxygen), TSS (Total Suspended Solid), TDS (TotalDissolved Solid), BOD (Biochemical Oxygen Demand), COD (Chemical OxygenDemand), NO2, dan NO3 yang dibagi ke dalam dua kategori himpunan fuzzy, yaituAMAN dan TIDAK AMAN. Variabel output yaitu status mutu air yang dibagi ke dalamempat kategori himpunan fuzzy berdasarkan kriteria status mutu air, yaitu memenuhibaku mutu (MBM), cemar ringan (CR), cemar sedang (CS), dan cemar berat (CB).Hasil penelitian menunjukkan bahwa model status mutu air pada metode Tsukamotomenghasilkan nilai MAPE sebesar 40% dan nilai MSE 0,472, sedangkan pada metodeMamdani menghasilkan nilai MAPE sebesar 42% dan nilai MSE 0,678.
SOFT GRAPHS OF THE BARBELL STAR GRAPH Helmi, Monika Rianti; Sy, Syafrizal; Nazra, Admi; Muhafzan; Hanifa, Nurul; Alfiany, Noverina
Jurnal Matematika UNAND Vol. 14 No. 4 (2025)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.14.4.366-375.2025

Abstract

\textit{Let $G^*=(V(G^*),E(G^*))$ is a simple graph and $A$ be a non-empty set of parameter. Let $R\subseteq A\times V(G^*)$ be a arbitrary relation from $A$ to $V(G^*)$. A mapping $F:A\to P(V(G^*))$ can be defined as $F(x)=\left\{y\in V\mid xRy \right\}$ and a mapping $K:A\to P(E(G^*))$ can be defined as $K(x)=\left\{uv\in E\mid \left\{u,v\right\}\subseteq F(x)\right\}$. A pair $(F,A)$ and $(K,A)$ are soft sets over $V(G^*)$ and $E(G^*)$ respectively, then $(F(a),K(a))$ is a subgraph of $G^*$. The 4-tuple $G=(G^*,F,K,A)$ is called a soft graph of $G$. In this paper, we enumerate soft graph of amalgamation of path and star.}
BILANGAN RAMSEY MULTIPARTIT HIMPUNAN (R-M-H) M_j(C_n, C_s) UNTUK CYCLE Majid, Abdul -; SY, SYAFRIZAL; NAZRA, ADMI
Jurnal Matematika UNAND Vol. 12 No. 4 (2023)
Publisher : Departemen Matematika dan Sains Data FMIPA Universitas Andalas Padang

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.25077/jmua.12.4.309-317.2023

Abstract

Diberikan dua graf G dan H sembarang. Bilangan Ramsey multipartit himpunan (R-M-H) M_j(G, H) dengan bilangan asli j ≥ 2, adalah bilangan bulat positif terkecil t sedemikian sehingga jika semua sisi dari graf multipartit seimbang lengkap K_{t×j} diberi sebarang 2−pewarnaan merah-biru, maka graf K_{t×j} senantiasa memuat G berwarna merah sebagai subgraf atau H berwarna biru sebagai subgraf. Graf C_n adalah suatu graf cycle dengan n ≥ 3 titik. Pada artikel ini, Penulis akan menentukan bilangan R-M-H M_j(C_n, C_s) untuk sebarang bilangan asli n ≥ 3 ganjil dan s ≥ 3. Hasil dari penelitian ini adalah ditemukannya bilangan R-M-H Mj (C_n, C_s) untuk cycle.
Intuitionistic Fuzzy Differential Equations for Economic Cycles: Theory and Indonesian Applications Efendi, Efendi; Nazra, Admi; Haripamyu, Haripamyu; Syafwan, Mahdivan
Jurnal Orientasi Bisnis dan Entrepreneurship (JOBS) Vol 6 No 2 (2025): DECEMBER 2025
Publisher : Lembaga Penelitian Universitas YARSI

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.33476/jobs.v6i2.5850

Abstract

This paper reviews the literature at the intersection of Intuitionistic Fuzzy Differential Equations (IFDEs) and economic modeling, emphasizing their potential to explain economic cycle dynamics under uncertainty. The review identifies a clear research gap, as no existing studies explicitly apply IFDE-based models to economic cycles. To address this gap, the paper synthesizes two related research streams: the mathematical foundations of IFDEs and the application of Intuitionistic Fuzzy Sets (IFS) in economics and finance. The analysis shows that IFDEs extend conventional fuzzy and differential equation models by incorporating membership (µ), non-membership (ν), and hesitation (π) degrees, allowing uncertainty and behavioral ambiguity to be modeled endogenously. Based on this synthesis, a conceptual IFDE-based framework for economic cycle analysis is proposed. Simulation experiments using Indonesia’s macroeconomic data indicate that second-order IFDE models can detect expansion–contraction transition phases 20–30% earlier than classical models and uncover policy-induced uncertainty bands overlooked by standard approaches. These results suggest that IFDEs provide a valuable decision-support tool for policymakers in structurally volatile economies.
The Classification of Diffeomorphism Classes of Real Bott Manifolds Admi Nazra
(IJCSAM) International Journal of Computing Science and Applied Mathematics Vol. 7 No. 1 (2021)
Publisher : LPPM Institut Teknologi Sepuluh Nopember

Show Abstract | Download Original | Original Source | Check in Google Scholar

Abstract

A real Bott manifold (RBM) is obtained as the orbit space of the n-torus T^n by a free action of an elementary abelian 2-group ZZ_2^n. This paper deals with the classification of some particular types of RBMs of dimension n, so that we know the number of diffeomorphism classes in such RBMs.