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Analysis of serial-parallel systems in the framework of fuzzy/possibility approach. Part Ⅰ. Appraisal: case of independent components

机译:在模糊/可能性方法框架内分析串并系统。第一部分。评估:独立组件的情况

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摘要

This paper attempts to review the fuzzy/possibility tools when dealing with reliability of serial-parallel systems. Various issues of reasoning-based approaches in this framework are reviewed and discussed and compared with the standard probabilistic approach of reliability. Typically in all the approaches investigated in this paper we adopt a fuzzy probability modelling of a reliability of a single unit. This translates the fact that the precise value of the (probabilistic) reliability of a given unit is rather ill known and, therefore, we attach a possibility distribution on a probability space that accounts for this lack of knowledge. Basically, three based methodologies are discussed and investigated: extension principle-based approach, set theoretic approach and join and meet-based reasoning. Each of these methodologies supports a special description and understanding of the behaviour of the redundancy and/or serial connection. Incidence on other forms of uncertainty like imprecision of the outcome as well as consistency with respect to probabilistic outcomes will be examined.
机译:在尝试处理串并系统的可靠性时,本文试图回顾模糊/可能性工具。本文对框架中基于推理的方法的各种问题进行了审查和讨论,并与可靠性的标准概率方法进行了比较。通常,在本文研究的所有方法中,我们采用单个单元可靠性的模糊概率模型。这转化为以下事实:给定单元的(概率)可靠性的精确值相当未知,因此,我们将概率分布附加在了概率空间上,以解释这种缺乏知识的情况。基本上,讨论和研究了三种基于方法的方法:基于扩展原理的方法,集理论方法以及基于联接和满足的推理。这些方法中的每一种都支持对冗余和/或串行连接行为的特殊描述和理解。将检查其他形式不确定性的发生率,例如结果的不精确性以及概率结果的一致性。

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