Khezerloo, S.; Allahviranloo, T.; Ghasemi, S. Haji; Salahshour, S.; Khezerloo, M.; Khorasan Kiasary, M. 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]. Cited in 3 Documents MSC: 65R20 Numerical methods for integral equations 45B05 Fredholm integral equations 45D05 Volterra integral equations 26E50 Fuzzy real analysis Keywords:expansion method; fuzzy Fredholm-Volterra integral equations; linear fuzzy system; fuzzy number; numerical examples PDFBibTeX XMLCite \textit{S. Khezerloo} et al., Commun. Comput. Inf. Sci. 81, 501--511 (2010; Zbl 1201.65222) Full Text: DOI