Application of hat functions to solve linear Fredholm fuzzy integral equation of the second kind

Article type: Research Article

Authors: Mirzaee, Farshid | Paripour, Mahmoud | Yari, Mohammad Komak

Affiliations: Department of Mathematics, Faculty of Science, Malayer University, Malayer, Iran | Department of Science, Hamedan University of Technology, Hamedan, Iran

Note: [] Corresponding author. Mahmoud Paripour, Department of Science, Hamedan University of Technology, Hamedan 65156-579, Iran. E-mails: [email protected] (Mahmoud Paripour); [email protected] (Farshid Mirzaee); [email protected] (Mohammad Komak Yari).

Abstract: In this paper, we present an efficient direct method for solving Fredholm fuzzy integral equation of the second kind based on hat functions. The method is based on new vector forms for representation of hat functions and its operational matrix. We have not used any integration, so all calculations can be easily implemented. Moreover, the convergence of the proposed method is proved. Finally, illustrative examples are included to show accuracy and efficiency of the proposed method.

Keywords: Fuzzy number, linear Fredholm fuzzy integral equation, hat functions

DOI: 10.3233/IFS-130990

Journal: Journal of Intelligent & Fuzzy Systems, vol. 27, no. 1, pp. 211-220, 2014