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A novel approach for analyzing fuzzy system reliability using different types of intuitionistic fuzzy failure rates of components

机译：一种使用不同类型的组件直觉模糊故障率分析模糊系统可靠性的新方法

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This paper addresses the fuzzy system reliability analysis using different types of intuitionistic fuzzy numbers. Till now, in the literature, to analyze the fuzzy system reliability, it is assumed that the failure rates of all components of a system follow the same type of fuzzy set or intuitionistic fuzzy set. However, in practical problems, such type of situation rarely occurs. Therefore, in the present paper, a new algorithm has been introduced to construct the membership function and non-membership function of fuzzy reliability of a system having components following different types of intuitionistic fuzzy failure rates. Functions of intuitionistic fuzzy numbers are calculated to construct the membership function and non-membership function of fuzzy reliability via non-linear programming techniques. Using the proposed algorithm, membership functions and non-membership functions of fuzzy reliability of a series system and a parallel systems are constructed. Our study generalizes the various works of the literature. Numerical examples are given to illustrate the proposed algorithm.
机译：本文介绍了使用不同类型的直觉模糊数的模糊系统可靠性分析。到现在为止，在文献中，为了分析模糊系统的可靠性，假定系统所有组件的故障率遵循相同类型的模糊集或直觉模糊集。但是，在实际问题中，这种情况很少发生。因此，在本文中，引入了一种新算法来构造具有遵循不同类型的直觉模糊故障率的组件的系统的模糊可靠性的隶属函数和非隶属函数。通过非线性规划技术计算直觉模糊数的函数，以构造模糊可靠性的隶属度函数和非隶属度函数。利用所提出的算法，构造了串联系统和并联系统模糊可靠性的隶属度函数和非隶属度函数。我们的研究概括了各种文学作品。数值例子说明了该算法。

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