Network reliability evaluation for fuzzy components: An interval programming approach

被引:5
作者
Mahapatra, G. S. [1 ]
Mahapatra, B. S. [2 ]
Roy, P. K. [3 ]
机构
[1] Natl Inst Technol Puducherry, Dept Math, Karaikal 609605, India
[2] Seacom Engn Coll, Dept Math, Sankrail, Howrah, India
[3] Jadavpur Univ, Dept Math, Kolkata, W Bengal, India
关键词
Interval nonlinear programming; fuzzy set; network system; reliability; trapezoidal fuzzy number; NUMBER ARITHMETIC OPERATIONS; SYSTEM RELIABILITY; UNCERTAIN OPTIMIZATION; MODEL;
D O I
10.3233/IFS-131032
中图分类号
TP18 [人工智能理论];
学科分类号
081104 ; 0812 ; 0835 ; 1405 ;
摘要
The probabilistic reliability estimation of complex system is complicated due to uncertainty of failure data, modeling or human failure. In this paper, reliability of components of complex network system is considered as fuzzy in nature to reduce the uncertainty. Trapezoidal fuzzy number is used to represent component's reliability of network system. Then the reliability of the network system is assembled with fuzzy reliability of components and evaluated by Zadeh's extension principle. Fuzzy reliability of the network system becomes an interval by alpha-cuts operation. Interval nonlinear programming is used to evaluate the optimum network's system reliability with interval valued cost constraint. The above approach is explained in details through a numerical example of very useful power system network of electrical engineering.
引用
收藏
页码:743 / 751
页数:9
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