The Solution of the Fuzzy Volterra Integral Equations of the Second Kind

被引：0

作者：

Gong, Huarong ^{[1
]}

机构：

[1] Yantai Engn & Technol Coll, Yantai 264006, Shandong, Peoples R China

来源：

PROCEEDINGS OF THE 10TH WORLD CONGRESS ON INTELLIGENT CONTROL AND AUTOMATION (WCICA 2012) | 2012年

关键词：

fuzzy volterra integral equations; lambda - cut of fuzzy set; fuzzy number; fuzzy function; composite trapezoidal formulae;

D O I：

暂无

中图分类号：

TP [自动化技术、计算机技术];

学科分类号：

0812 ;

摘要：

Fuzzy mathematical analysis and integral characteristics and composite trapezoidal formulae were used to study the solution of the Fuzzy volterra integral equations of the second kind. First, -cut method of Fuzzy set was used to transform the fuzzy integral equations into the interval number equations, then the calculation rules of the interval numbers and the integral characteristics were used to transform the interval number equations into the interval number equations, then the calculation rules of the interval numbers and the integral characteristics were used to transform the interval number equations into the deterministic integral equations, at last, the analytical methods or composite trapezoidal formulae were utilized to solve the deterministic integral equations mentioned above, the given examples show the availability and the effectiveness of the methods introduced here.

引用

页码：2556 / 2561

页数：6

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