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The weakest t-norm based intuitionistic fuzzy fault-tree analysis to evaluate system reliability
Mohit Kumar1, Shiv Prasad Yadav
1Department of Mathematics, Indian Institute of Technology Roorkee, Roorkee 247667, India. msharmadma.iitr@gmail.com
ISA Transactions
|March 27, 2012
Summary
This study introduces an intuitionistic fuzzy fault-tree analysis to assess system reliability and identify critical components. The novel approach integrates expert knowledge for accurate fault interval calculation, enhancing system dependability analysis.
Area of Science:
- Engineering
- Computer Science
- Decision Science
Background:
- Traditional fault-tree analysis often struggles with uncertainty and imprecise expert knowledge.
- Evaluating system reliability requires robust methods that can handle vague failure probabilities.
Purpose of the Study:
- To propose a novel intuitionistic fuzzy fault-tree analysis (IFFTA) for system reliability evaluation.
- To identify critical system components impacting overall reliability.
- To enhance fault-tree analysis by incorporating expert knowledge more effectively.
Main Methods:
- Utilizing weakest t-norm based intuitionistic fuzzy fault-tree analysis.
- Applying alpha-cut (α-cut) of intuitionistic fuzzy sets.
- Performing T(ω) (weakest t-norm) based arithmetic operations on triangular intuitionistic fuzzy sets.
- Modifying Tanaka et al.'s fuzzy fault-tree definition.
Main Results:
- The proposed IFFTA method successfully calculates the fault interval and reliability interval of system components.
- Numerical verification on a weapon system demonstrates the method's effectiveness.
- The results show improved accuracy in reliability assessment compared to existing methods.
Conclusions:
- The developed intuitionistic fuzzy fault-tree analysis provides a more accurate and reliable approach for system dependability.
- This method effectively integrates expert judgment into quantitative reliability analysis.
- The approach is valuable for identifying critical components and improving system design.
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