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Expansion method for solving fuzzy Fredholm-Volterra integral equations. (English) Zbl 1201.65222

Hüllermeier, Eyke (ed.) et al., Information processing and management of uncertainty in knowledge-based systems. Applications. 13th international conference, IPMU 2010, Dortmund, Germany, June 28–July 2, 2010. Proceedings. Part II. Berlin: Springer (ISBN 978-3-642-14057-0/pbk; 978-3-642-14058-7/ebook). Communications in Computer and Information Science 81, 501-511 (2010).
Summary: A fuzzy Fredholm-Volterra integral equation is solved, where the expansion method is applied to approximate the solution of the unknown function in the fuzzy Fredholm-Volterra integral equation and to convert this equation to a system of fuzzy linear equations. Then we propose a method to solve the fuzzy linear system such that its solution is always fuzzy vector. The method is illustrated by solving several examples.
For the entire collection see [Zbl 1200.68011].

MSC:

65R20 Numerical methods for integral equations
45B05 Fredholm integral equations
45D05 Volterra integral equations
26E50 Fuzzy real analysis
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