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<p>This study focuses on assessing the system reliability, where the lifetimes of components are represented by fuzzy Weibull distribution. Expressions for fuzzy reliability function, fuzzy mean time to failure (FMTTF), fuzzy hazard function and their <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\alpha \)</EquationSource> </InlineEquation>-cuts have been derived for the systems following Weibull distribution under pentadecagonal fuzzy environment. This paper also explores the fuzzy reliability functions for different system configurations, including series system, parallel system, series–parallel system, parallel-series system, linear and circular consecutive <i>k</i>-out-of-<i>n</i>:F systems and linear and circular consecutive <i>k</i>-out-of-<i>n</i>:G systems. Additionally, numerical examples are also provided to show how fuzzy reliability function and fuzzy hazard function varies with respect to time along with the tables and graphs.</p>

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Reliability analysis of complex systems using fuzzy Weibull distribution emphasising pentadecagonal fuzzy number

  • 期刊论文

  • 发表日期：

    2026年2月13日

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  • Ankita,
  • Supriya,
  • Deepak Kumar

摘要

This study focuses on assessing the system reliability, where the lifetimes of components are represented by fuzzy Weibull distribution. Expressions for fuzzy reliability function, fuzzy mean time to failure (FMTTF), fuzzy hazard function and their \(\alpha \) -cuts have been derived for the systems following Weibull distribution under pentadecagonal fuzzy environment. This paper also explores the fuzzy reliability functions for different system configurations, including series system, parallel system, series–parallel system, parallel-series system, linear and circular consecutive k-out-of-n:F systems and linear and circular consecutive k-out-of-n:G systems. Additionally, numerical examples are also provided to show how fuzzy reliability function and fuzzy hazard function varies with respect to time along with the tables and graphs.