[1]李舒阳,李洪兴,孙凯彪.三角直觉逼近在模糊系统可靠性上的应用[J].四川师范大学学报(自然科学版),2019,(01):15.[doi:10.3969/j.issn.1001-8395.2019.01.002]
 LI Shuyang,LI Hongxing,SUN Kaibiao.Application of Triangular Intuitionistic Approximation in the Fuzzy System Reliability[J].Journal of SichuanNormal University,2019,(01):15.[doi:10.3969/j.issn.1001-8395.2019.01.002]
点击复制

三角直觉逼近在模糊系统可靠性上的应用()
分享到:

《四川师范大学学报(自然科学版)》[ISSN:1001-8395/CN:51-1295/N]

卷:
期数:
2019年01期
页码:
15
栏目:
基础理论
出版日期:
2018-12-15

文章信息/Info

Title:
Application of Triangular Intuitionistic Approximation in the Fuzzy System Reliability
文章编号:
1001-8395(2019)01-0015-10
作者:
李舒阳1 李洪兴2 孙凯彪2
1.海军大连舰艇学院 基础部, 辽宁 大连 116018; 2.大连理工大学 控制科学与工程学院, 辽宁 大连 116024
Author(s):
LI Shuyang1 LI Hongxing2 SUN Kaibiao2
1.Department of Basic Science, Dalian Naval Academy, Dalian 116018, Liaoning; 2.College of Control Science and Engineering, Dalian University of Technology, Dalian 116024, Liaoning
关键词:
三角形直觉模糊数 三角直觉逼近 可靠性分析
Keywords:
triangular intuitionistic fuzzy number triangular intuitionisticapproximation reliability analysis
分类号:
O159
DOI:
10.3969/j.issn.1001-8395.2019.01.002
文献标志码:
A
摘要:
针对不同类型直觉模糊数表示部件故障率的模糊系统可靠性问题,提出一种分析模糊系统可靠性的新方法.首先根据数据特点将正态型和尖γ型直觉模糊数逼近成三角形直觉模糊数; 然后用直觉模糊数的代数运算对具有串并联结构的模糊系统进行可靠性分析; 最后通过实际算例表明,运用这种方法所得的结果与已有的典型方法相比,有效地减少了计算量和模糊分布,提高了结果的可信度.为解决系统各个部件用不同类型直觉模糊数表示其故障率的系统可靠性的评估问题提供了一种新方法.
Abstract:
Given that the fuzzy system reliability of all components is represented by different types of intuitionistic fuzzy numbers, a new analysis method of fuzzy system reliability is proposed. Firstly, normal and sharp intuitionistic fuzzy numbers are approximated into triangular intuitionistic fuzzy numbers according to data feature. Then, fuzzy system reliability of series and parallel systems is analyzed using arithmetic operations of intuitionistic fuzzy numbers. Finally, the numerical example shows that the result of the proposed method has smaller calculated efforts, fuzzy spread and increases confidence level compared with the listed approaches of reliability analysis method. The proposed method provides a new way of evaluating the fuzzy system reliability of all components which are represented by different types of intuitionistic fuzzy numbers.

参考文献/References:

[1] TANAKA H, FAN L T, LAI F S, et al. Fault-tree analysis by fuzzy probability[J]. IEEE Transactions on Reliability,1983,R-32(5):453-457.
[2] SHU M H, CHENG C H, CHANG J R. Using intuitionistic fuzzy sets for fault-tree analysis on printed circuit board assembly[J]. Microelectronics Reliability,2006,46(12):2139-2148.
[3] CHENG S R, LIN B, HSU B M, et al. Fault-tree analysis for liquefied natural gas terminal emergency shutdown system[J]. Expert Systems with Applications,2009,36(9):11918-11924.
[4] KUMAR M, YADAV S P, KUMAR S. Reliability analysis of computer security system based on intuitionistic fuzzy fault tree[J]. Advanced Materials Research,2012,403/408:3495-3502.
[5] KUMAR T, GUPTA N, BAJAJ R K. Reliability evaluation of series and parallel systems using trapezoidal intuitionistic fuzzy sets[J]. 2012 International Conference on Advances in Computing and Communications,2012,8:219-222.
[6] KUMAR M, YADAV S P. The weakest t-norm based intuitionistic fuzzy fault-tree analysis to evaluate system reliability[J]. ISA Transactions,2012,51(4):531-538.
[7] KUMAR M, YADAV S P. Fuzzy system reliability analysis using different types of intuitionistic fuzzy numbers[C]//11th International Conference on Hybrid Intelligent Systems. Melacca, Malaysia:IEEE,2012:247-252.
[8] KUMAR M, YADAV S P. A novel approach for analyzing fuzzy system reliability using different types of intuitionistic fuzzy failure rates of components[J]. ISA Transactions,2012,51(2):288-297.
[9] KUMAR M, YADAV S P. Analyzing fuzzy system reliability using arithmetic operations on different types of intuitionistic fuzzy numbers[C]//Proceedings of the International Conference on SocProS. India:Springer-Verlag,2012,130:725-736.
[10] KUMAR M. Applying weakest t-norm based approximate intuitionistic fuzzy arithmetic operations on different types of intuitionistic fuzzy numbers to evaluate reliability of PCBA fault[J]. Applied Soft Computing J,2014,23:387-406.
[11] GARG H. A novel approach for analyzing the reliability of series-parallel system using credibility theory and different types of intuitionistic fuzzy numbers[J]. J Brazilian Society of Mechanical Sciences and Engineering,2016,38(3):1021-1035.
[12] ATANASSOV K T, RANGASAMY P. Intuitionistic fuzzy Sets[J]. Fuzzy Sets and Systems,1986,20(1):87-96.
[13] ATANASSOV K T. Intuitionistic Fuzzy Sets:Theory and Applications[M]. New York:Springer-Verlag,1999.
[14] GRZEGORZEWSKI P. Distances and orderings in a family of intuitionistic fuzzy numbers[C]//Conference:Proceedings of the 3rd Conference of the European Society for Fuzzy Logic and Technology. Germany:Zittau,2003,9:10-12.
[15] LI S Y, LI H X. An approximation method of intuitionistic fuzzy numbers[J]. J Intelligent and Fuzzy Systems,2017,32(6):4343-4355.
[16] KUMAR M, YADAV S P, KUMAR S. A new approach for analysing the fuzzy system reliability using intuitionistic fuzzy number[J]. International J Industrial and Systems Engineering,2011,8(2):135-156.
[17] CHANG J R, CHANG K H, LIAO S H, et al. The reliability of general vague fault tree analysis on weapon systems fault diagnosis[J]. Soft Computing,2006,10(7):531-542.
[18] CHANG K H, CHENG C H. A novel general approach to evaluating the PCBA for c omponents with different membership function[J]. Applied Soft Computing J,2009,9(3):1044-1056.

备注/Memo

备注/Memo:
收稿日期:2018-06-14 接受日期:2018-08-30
基金项目:国家自然科学基金(61473327)
第一作者简介:李舒阳(1976—),女,博士,主要从事模糊系统和模糊决策的研究,E-mail:lishuyang0515@163.com
更新日期/Last Update: 2018-12-15