# Research on a Three-Way Decision-Making Approach, Based on Non-Additive Measurement and Prospect Theory, and Its Application in Aviation Equipment Risk Analysis

## TL;DR

This paper introduces a new three-way decision-making method for risk analysis in aviation equipment, combining prospect theory and non-additive measures to handle incomplete and complex data.

## Contribution

A novel three-way decision-making model integrating prospect theory and non-additive measurement for risk analysis under uncertainty.

## Key findings

- The proposed method effectively handles multi-source and incomplete risk information in aviation equipment.
- Simulation results confirm the model's availability and ability to rank key risk factors.
- The model provides a reliable basis for aviation safety management decisions.

## Abstract

Due to the information non-independence of attributes, combined with a complex and changeable environment, the analysis of risks faces great difficulties. In view of this problem, this paper proposes a new three-way decision-making (3WD) method, combined with prospect theory and a non-additive measure, to cope with multi-source and incomplete risk information systems. Prospect theory improves the loss function of the original 3WD model, and the combination of non-additive measurement and probability measurement provides a new perspective to understand the meaning of decision-making, which could measure the relative degree by considering expert knowledge and objective data. The theoretical basis and framework of this model are illustrated, and this model is applied to a real in-service aviation equipment structures risk evaluation problem involving multiple incomplete risk information sources. When the simulation analysis is carried out, the results show that the availability of this method is verified. This method can also evaluate and rank key risk factors in equipment structures, which provides a reliable basis for decisions in aviation safety management.