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Analyzing Criteria Count Impact on SAW and TOPSIS Stability in Decision Support Systems Murti, Alif Catur; Ghozali, Muhammad Imam; Puta, Indra Lina; Ikhwan, Ali
ZERO: Jurnal Sains, Matematika dan Terapan Vol 9, No 2 (2025): Zero: Jurnal Sains Matematika dan Terapan
Publisher : UIN Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30829/zero.v9i2.25707

Abstract

This study investigates how increasing the number of decision criteria (5–30) affects the ranking stability and computational efficiency of Simple Additive Weighting (SAW) and the Technique for Order Preference by Similarity to Ideal Solution (TOPSIS). Previous studies compared these methods in domains such as scholarship selection and food assistance but did not examine how rankings evolve under greater complexity. Using a synthetic dataset of five fixed alternatives with multiple random seeds, results show that SAW is more prone to ranking fluctuations, while TOPSIS demonstrates greater stability. Kendall’s Tau reveals variability across scenarios, and sensitivity tests confirm that agreement depends on data generation. Computationally, SAW exhibits quasi-linear growth in processing time (≈0.002–0.008 s), whereas TOPSIS remains efficient (≈0.002–0.004 s) with minimal variance. These findings highlight a context-dependent choice SAW offers simplicity in low-dimensional settings, while TOPSIS provides scalability and robustness for complex, high-stakes decision support.
Performance Comparison of WSN Topologies in IoT-Based Water Quality Monitoring Systems Ghozali, Muhammad Imam; Murti, Alif Catur; Sugiharto, Wibowo Harry; Roder, Klaus
ZERO: Jurnal Sains, Matematika dan Terapan Vol 9, No 2 (2025): Zero: Jurnal Sains Matematika dan Terapan
Publisher : UIN Sumatera Utara

Show Abstract | Download Original | Original Source | Check in Google Scholar | DOI: 10.30829/zero.v9i2.25706

Abstract

This study, we quantify how WSN topology shapes QoS for IoT water-quality monitoring and derive deployment rules. Five topologies (Hybrid Star–Mesh, Cluster Tree, Full Mesh, Ring, ZigBee Star; 20 nodes) were simulated in NS-3 for 10 independent runs with random seeds. Our mathematical contribution is a compact QoS model set—latency LLL, packet-loss PlossP_{\text{loss}} Ploss, bandwidth usage UBU_BUB, and throughput TTT—used to compare topologies and compute relative/absolute improvements. Statistics report mean±SD with 95% confidence intervals from Student’s t-distribution; pairwise Mann–Whitney tests with Benjamini–Hochberg FDR control (α=0.05) yield compact-letter displays; Cliff’s δ quantifies effect sizes. Results: Hybrid Star–Mesh minimizes latency/loss while maximizing throughput; Ring is consistently inferior; Cluster Tree and ZigBee Star are mid-range; Full Mesh trades redundancy for delay and bandwidth. These models produce actionable guidance for aquaculture (real-time dissolved-oxygen) and urban drinking-water safety, and motivate multi-objective optimization (latency–throughput–energy) toward Pareto-optimal designs.