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All Journal Zero : Jurnal Sains, Matematika, dan Terapan
Ikhwan, Ali
School of Computer and Communication Engineering
Agriculture, Biological Sciences & Forestry Chemistry Mathematics Physics

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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.
Co-Authors Muhammad Imam Ghozali Murti, Alif Catur Puta, Indra Lina