pplying weakest t-norm based approximate intuitionistic fuzzy rithmetic operations on different types of intuitionistic fuzzy umbers to evaluate reliability of PCBA fault
pplying weakest t-norm based approximate intuitionistic fuzzy rithmetic operations on different types of intuitionistic fuzzy umbers to evaluate reliability of PCBA fault
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作者：
ohit Kumar
本研究使用基于最弱t范数的近似直觉模糊算术运算来解决系统可靠性分析，其中所有组件的故障概率由不同类型的直觉模糊数表示。由于系统组成部分的信息不完整、不精确、模糊和相互矛盾，本研究通过对不同类型的直觉模糊数使用基于最弱t范数（Tw）的近似直觉模糊算术运算，从隶属函数和非隶属函数方面评估系统的可靠性。一般来说，区间算术（-cut算术）运算已被用来分析模糊系统的可靠性。在复杂系统中，区间算术运算可能会出现模糊性累积现象。为了克服模糊性的累积现象，本研究采用最弱t范数运算（Tw）下的近似直觉模糊运算来分析模糊系统的可靠性。近似直觉模糊算术运算采用最弱t范数运算下的区间运算原理。所提出的新颖的模糊算术运算可以获得更合适的决策值，其模糊度累积更小，并成功地分析了系统的可靠性。此外，最弱的 t 范数算术运算可提供更精确的模糊结果，并有效减少模糊扩散（模糊区间）。利用所提出的方法，还构造了串联系统和并联系统的模糊可靠性。为了对所提出的方法进行数值验证，以印刷电路板组件 (PCBA) 的故障作为数值示例。将所提出方法的结果与可靠性分析方法的列举方法进行了比较。 © 2014 Elsevier B.V. 保留所有权利。
This research addresses system reliability analysis using weakest t-norm based approximate intuitionistic fuzzy arithmetic operations, where failure probabilities of all components are represented by different types of intuitionistic fuzzy numbers. Due to the incomplete, imprecise, vague and conflicting information about the component of system, the present study evaluates the reliability of system in terms of membership function and non-membership function by using weakest t-norm (Tw) based approximate intuitionistic fuzzy arithmetic operations on different types of intuitionistic fuzzy numbers. In general, interval arithmetic ( -cut arithmetic) operations have been used to analyze the fuzzy system reliability. In complicated systems, interval arithmetic operations may occur the accumulating phenomenon of fuzziness. In order to overcome the accumulating phenomenon of fuzziness, this research adopts approximate intuitionistic fuzzy arithmetic operations under the weakest t-norm arithmetic operations (Tw) to analyze fuzzy system reliability. The approximate intuitionistic fuzzy arithmetic operations employ principle of interval arithmetic under the weakest t-norm arithmetic operations. The proposed novel fuzzy arithmetic operations may obtain fitter decision values, which have smaller fuzziness accumulating and successfully analyze the system reliability. Also weakest t-norm arithmetic operations provide more exact fuzzy results and effectively reduce fuzzy spreads (fuzzy intervals). Using proposed approach, fuzzy reliability of series system and parallel system are also constructed. For numerical verification of proposed approach, a malfunction of printed circuit board assembly (PCBA) is presented as a numerical example. The result of the proposed method is compared with the listing approaches of reliability analysis methods. © 2014 Elsevier B.V. All rights reserved.