Title :
The solution of the fuzzy volterra integral equations of the second kind
Author_Institution :
Yantai Eng. & Technol. Coll., Yantai, China
Abstract :
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.
Keywords :
Volterra equations; fuzzy set theory; number theory; analytical methods; calculation rules; composite trapezoidal formulae; deterministic integral equations; fuzzy Volterra integral equations; fuzzy mathematical analysis; fuzzy set theory; integral characteristics; interval number equations; Availability; Differential equations; Equations; Integral equations; Mathematical model; Transforms; λ - cut of fuzzy set; composite trapezoidal formulae; fuzzy function; fuzzy number; fuzzy volterra integral equations;
Conference_Titel :
Intelligent Control and Automation (WCICA), 2012 10th World Congress on
Conference_Location :
Beijing
Print_ISBN :
978-1-4673-1397-1
DOI :
10.1109/WCICA.2012.6358303