Type-1 fuzzy inference system for epistemic uncertainty quantification in computational vibro-acoustic simulations

Yogeesh  Nijalingappa; Asokan  Vasudevan; Mohammed  El Khider; Puspanathan  Doraisingam; Khan  Sarfaraz Ali; Pradeepa  Balasubramanium

doi:10.59400/sv3951

Type-1 fuzzy inference system for epistemic uncertainty quantification in computational vibro-acoustic simulations

Yogeesh Nijalingappa
Research Fellow, INTI International University, Nilai 71800, Malaysia; Department of Mathematics, Government First Grade College, Tumkur 572102, India
Asokan Vasudevan
Faculty of Business and Communications, INTI International University, Nilai 71800, Malaysia
Mohammed El Khider
Department of General Undergraduate Curriculum Requirements, University of Dubai, Dubai P.O. Box 14143, United Arab Emirates
Puspanathan Doraisingam
Faculty of Business and Communications, INTI International University, Nilai 71800, Malaysia
Khan Sarfaraz Ali
Faculty of Business and Communications, INTI International University, Nilai 71800, Malaysia
Pradeepa Balasubramanium
Department of Biomedical Engineering, Erode Sengunthar Engineering College, Thudupathi 638057, India

Article ID: 3951

Keywords: Type-1 fuzzy inference system; uncertainty quantification; vibro-acoustics; α-cut interval propagation; SPL envelope; boundary impedance uncertainty; surrogate assisted simulation; Sobol sensitivity analysis

Abstract

Type-1 fuzzy inference is incorporated into computational vibro-acoustic simulations to quantify epistemic uncertainty in sound pressure level (SPL) predictions arising from uncertain damping, boundary impedance, excitation level, and material parameters. The proposed formulation represents uncertain inputs through α-cut intervals and propagates them through a deterministic vibro-acoustic solver to obtain bounded response envelopes over the frequency range of interest. A compact Mamdani-type fuzzy inference system is then used to map physically interpretable descriptors, including band-limited SPL behavior, peak-to-average characteristics, and response trend measures, to lower and upper bounds of the selected quantities of interest together with a normalized uncertainty-width index. The framework is intended for cases in which precise probability distributions are not available, but bounded engineering knowledge or expert judgment is available. The study further defines a leakage-safe calibration and validation procedure, frequency-band reporting metrics, and sensitivity-based ranking of uncertain factors. The resulting framework offers an interpretable and solver-compatible route for uncertainty-aware reporting in vibro-acoustic analysis. The method was formulated to produce engineering-usable uncertainty statements—namely, frequency-dependent lower/upper Qol envelopes and an uncertainty width index , while preserving transparency through interpretable membership functions and rule activations. This paper presents a Type-1 Fuzzy Inference System (FIS) framework for uncertainty quantification (UQ) in computational vibro-acoustic simulations, designed to sit directly on top of standard deterministic VA solvers.

Published

2026-05-22

How to Cite

Nijalingappa, Y., Vasudevan, A., El Khider, M., Doraisingam, P., Sarfaraz Ali, K., & Balasubramanium, P. (2026). Type-1 fuzzy inference system for epistemic uncertainty quantification in computational vibro-acoustic simulations. Sound & Vibration, 6(3). https://doi.org/10.59400/sv3951

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Vol. 60 No. 3 (2026): In Progress

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Type-1 fuzzy inference system for epistemic uncertainty quantification in computational vibro-acoustic simulations

Abstract

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