The solution of the fuzzy volterra integral equations of the second kind

Author

Gong, Huarong

Author_Institution

Yantai Eng. & Technol. Coll., Yantai, China

fYear

2012

fDate

6-8 July 2012

Firstpage

2556

Lastpage

2561

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;

fLanguage

English

Publisher

ieee

Conference_Titel

Intelligent Control and Automation (WCICA), 2012 10th World Congress on

Conference_Location

Beijing

Print_ISBN

978-1-4673-1397-1

Type

conf

DOI

10.1109/WCICA.2012.6358303

Filename

6358303