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Estimation of Failure Using Fault Tree Analysis Based on New Operations on LR-Type Flat Fuzzy Numbers

机译：基于LR型平面模糊数的新操作，使用故障树分析估计

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In this paper, we analyze the reliability of fuzzy system (particularly, series and parallel system) with independent and non-identically distributed components using the new operations of TA [F. Abbasi, T. Allahviranloo and S. Abbasbandy, A new attitude coupled with fuzzy thinking to fuzzy rings and fields, Journal of Intelligent and Fuzzy Systems 29 (2015) 851-861.] due to the smaller results support, easier calculations and special properties than operations based on the extension principle (in the domain of the membership function) and the interval arithmetic (in the domain of the α-cuts). we propose the new fuzzy arithmetic operations based on transmission average(TA) on LR type flat fuzzy numbers. In the proposed formulae, LR type flat fuzzy numbers are not restricted to have the same L(·) and R(·) shape functions. This allows arithmetic operator for arithmetic involving LR type flat fuzzy numbers of different and general shape. Finally, an imprecise failure to start of an automobile is considered in fuzzy environment. The reliability of components of the proposed model is considered as LR type flat fuzzy numbers.
机译：在本文中，我们使用Ta [F的新操作分析模糊系统（特别是串联系统）的可靠性和非相同分布的组件。 ABBASI，T.Allahviranloo和S. Abbasbandy，一种新的态度，与模糊思想耦合到模糊环和领域，智能和模糊系统29（2015）851-861。]由于较小的结果支持，更容易计算和特殊属性而不是基于扩展原理的操作（在隶属函数的域中）和间隔算法（在α-Cuts的域中）。我们提出了基于LR型平面模糊数的传输平均值（TA）的新模糊算术运算。在所提出的公式中，LR型平面模糊数不限于具有相同的L（·）和R（·）形状功能。这允许算术运算符算法涉及不同和一般形状的LR型平面模糊数。最后，在模糊的环境中考虑了汽车开始的不精确失败。所提出的模型的组件的可靠性被认为是LR型平面模糊数。

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