Abstract

Failure Mode and Effects Analysis (FMEA) has been regarded as an effective analysis approach to identify and rank the potential failure modes in many applications. However, how to determine the weights of team members appropriately, with the impact factor of domain experts’ uncertainty in decision-making of FMEA, is still an open issue. In this paper, a new method to determine the weights of team members, which combines evidence theory, intuitionistic fuzzy sets (IFSs) and belief entropy, is proposed to analyze the failure modes. One of the advantages of the presented model is that the uncertainty of experts in the decision-making process is taken into consideration. The proposed method is data driven with objective and reasonable properties, which considers the risk of weights more completely. A numerical example is shown to illustrate the feasibility and availability of the proposed method.

Highlights

  • Failure Mode and Effects Analysis (FMEA) has received attention from many researchers [1,2,3,4,5,6,7], and it can evaluate and analyze various risks in order to reduce these risks to acceptable levels or directly eliminate them

  • In the method proposed in [17], the weights of risk factors are determined by the weights calculation proposed by Boran et al [16], the intuitionistic fuzzy set (IFS)

  • A new method to determine the weights of team members based on the evidence theory, intuitionistic fuzzy sets and belief entropy is proposed to rank the failure modes

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Summary

Introduction

Failure Mode and Effects Analysis (FMEA) has received attention from many researchers [1,2,3,4,5,6,7], and it can evaluate and analyze various risks in order to reduce these risks to acceptable levels or directly eliminate them. Entropy 2019, 21, 211 it can not deal with the uncertainty of basic probability assignment (BPA) in Dempster–Shafer evidence theory [26]. To address this issue, a new belief entropy, named Deng entropy, is presented [26]. A hybrid weights determination of team members in the FMEA model is proposed based on the evidence distance [29] and the belief entropy [26]. The evidence distance is to measure the degree of conflict for all team members, and the belief entropy is used to model the domain experts’.

Evidence Theory
Evidence Distance
Intuitionistic Fuzzy Set
Belief Entropy
The Proposed Method
Application
Proposed Method
Conclusions
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