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The α, β-Cut Intervals and Weakest t-Norm Based Importance Measure for Criticality Analysis in Intuitionisitic Fuzzy Fault Tree Analysis of LNG-ESD System
International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems ( IF 1.5 ) Pub Date : 2021-01-06 , DOI: 10.1142/s0218488521500070
Mohit Kumar 1 , Swati Sharma 2
Affiliation  

Different importance measures have been developed and widely utilized in system reliability analysis to measure the importance of system components. During operation period of a complex system, it becomes more difficult to collect exact failure data of system components i.e. the collected failure data may have some sort of uncertainties due to various reasons. Generally, triangular shaped fuzzy numbers or intuitionistic fuzzy numbers (IFNs) are used to quantify the various types of uncertainty in failure data of the system’s components and fuzzy arithmetic operations are utilized which computes each reliability index with wide range of prediction due to accumulating phenomenon of fuzziness. In this paper, different types of intuitionistic fuzzy number (IFN) are used to quantify the failure data uncertainty of the system’s components while α, β-cut intervals and weakest t-norm (Tw)-based arithmetic operations are employed to reduce the range of prediction for each reliability index. The objective of the present study is to develop Tw-based importance measure for criticality analysis in intuitionistic fuzzy fault tree analysis (IF-FTA) of a system, when different types of uncertainties in crisp failure data of basic events are quantified by different types of membership and non-membership functions. The developed importance measure applies system fault tree, α-cut and β-cut intervals, different types of intuitionistic fuzzy number (IFN) and weakest t-norm (Tw) based intuitionistic fuzzy arithmetic operations. To demonstrate the applicability of the proposed measure, a case study of liquefied natural gas terminal emergency shutdown system (LNG-ESD system) is performed. The IF-FTA of LNG-ESD system is presented to evaluate the fault intervals of the system at different levels using Tw-based arithmetic operations on different types of IFNs. The developed importance measure is applied to identify and rank the critical basic events in IF-FTA of LNG-ESD system. The proposed measure is also compared with some existing importance measures.

中文翻译:

LNG-ESD系统直觉模糊故障树分析中基于α、β-割区间和最弱t-范数的重要性测度

在系统可靠性分析中已经开发并广泛使用了不同的重要性度量来衡量系统组件的重要性。在复杂系统的运行期间,收集系统部件的准确故障数据变得更加困难,即收集到的故障数据可能由于各种原因而具有某种不确定性。通常,三角形模糊数或直觉模糊数(IFNs)用于量化系统组件故障数据中的各种类型的不确定性,并利用模糊算术运算计算每个可靠性指标,由于累积现象具有广泛的预测范围模糊性。在本文中,不同类型的直觉模糊数(IFN)用于量化系统组件的故障数据不确定性,而α,w) 基于算术运算用于减少每个可靠性指标的预测范围。本研究的目的是开发 Tw-基于重要性度量的系统直觉模糊故障树分析(IF-FTA)中的临界分析,当基本事件的清晰故障数据中的不同类型的不确定性通过不同类型的隶属函数和非隶属函数进行量化时。开发的重要性度量应用系统故障树、α-cut 和 β-cut 区间、不同类型的直觉模糊数 (IFN) 和最弱 t 范数 (Tw) 基于直觉模糊算术运算。为了证明该措施的适用性,以液化天然气终端紧急关闭系统(LNG-ESD 系统)为例进行了研究。提出了LNG-ESD系统的IF-FTA,以评估系统在不同级别的故障间隔,使用Tw基于不同类型干扰素的算术运算。开发的重要性度量用于识别和排序LNG-ESD系统IF-FTA中的关键基本事件。提议的措施也与一些现有的重要性措施进行了比较。
更新日期:2021-01-06
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