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A new approach for analysing the fuzzy system reliability using intuitionistic fuzzy number

机译：直觉模糊数分析模糊系统可靠性的新方法

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摘要

In general, fuzzy sets are used to analyse the fuzzy system reliability. In this paper, a new approach is developed for analysing the fuzzy system reliability of series and parallel systems using intuitionistic fuzzy set theory. For analysing the fuzzy system reliability, the definition of trapezoidal intuitionistic fuzzy number is introduced and arithmetic operations between two trapezoidal intuitionistic fuzzy numbers are also introduced. Also by considering several cases, it is shown that definitions of triangular intuitionistic fuzzy number, trapezoidal fuzzy number and triangular fuzzy number are the particular cases of the definition of trapezoidal intuitionistic fuzzy number introduced in this paper. For evaluating the fuzzy reliability of a series system and a parallel system, formulae are derived. For numerical verification of proposed approach, the fuzzy reliability of the basement flooding has been analysed using the proposed approach.
机译：通常，模糊集用于分析模糊系统的可靠性。本文提出了一种使用直觉模糊集理论分析串联和并联系统的模糊系统可靠性的新方法。为了分析模糊系统的可靠性，介绍了梯形直觉模糊数的定义，并介绍了两个梯形直觉模糊数之间的算术运算。通过对几种情况的考虑，可以看出，三角直觉模糊数，梯形模糊数和三角模糊数的定义是本文介绍的梯形直觉模糊数定义的特殊情况。为了评估串联系统和并联系统的模糊可靠性，推导了公式。为了对所提出的方法进行数值验证，已使用所提出的方法分析了地下室洪水的模糊可靠性。

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