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Assessment of industrial fault diagnosis using rough approximations of fuzzy hypersoft sets.

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Title: Assessment of industrial fault diagnosis using rough approximations of fuzzy hypersoft sets.
Authors: Abdullah, Muhammad, Khan, Khuram Ali, Rahman, Atiqe Ur, Mabela, Rostin Matendo
Source: PLoS ONE; 9/9/2025, Vol. 20 Issue 9, p1-28, 28p
Subject Terms: FAULT diagnosis, FUZZY logic, DIAGNOSIS, FUZZY systems, MEASUREMENT uncertainty (Statistics), ROUGH sets, MULTIPLE criteria decision making
Abstract: Reliable and timely fault diagnosis is critical for the safe and efficient operation of industrial systems. However, conventional diagnostic methods often struggle to handle uncertainties, vague data, and interdependent multi-criteria parameters, which can lead to incomplete or inaccurate results. Existing techniques are limited in their ability to manage hierarchical decision structures and overlapping information under real-world conditions. To address these limitations, this paper proposes a novel diagnostic framework based on Hypersoft Fuzzy Rough Set (HSFRS) theory.This hybrid approach integrates the flexibility of hypersoft sets for modeling multi-parameter relationships, the strength of fuzzy logic in handling vagueness, and the approximation capabilities of rough set theory to manage data uncertainty. Using a pseudo fuzzy binary relation, we define lower and upper approximation operators for fuzzy subsets within the parameter space. An enhanced Bingzhen and Weimin model-based decision-making algorithm is developed to support intelligent diagnosis. A case study involving a conveyor belt system is presented, evaluating eight fault states using five primary parameters and twenty sub-parameters. The results confirm the robustness, interpretability, and effectiveness of the proposed model in complex industrial scenarios by ranking the states based on fuzzy hypersoft closeness degrees. [ABSTRACT FROM AUTHOR]
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Database: Complementary Index
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