Title :
Numerical solutions of fuzzy Volterra integral equations by characterization theorems
Author :
Zhang, Dong-Kai ; Liu, Xiu-Jun ; Zhou, Chang-Jie ; Qiu, Ji-qing
Author_Institution :
Dept. of Math., Shijiazhuang Univ., Shijiazhuang, China
Abstract :
Study the fuzzy Volterra integral equations initial value problems. Characterization theorems for fuzzy Volterra integral equations are given and proofed. Fuzzy Volterra integral equations can be transferred to ODES by these characterization theorems. Then we give some methods to solve fuzzy Volterra integral equations. In the end, some examples are given to illustrate this theory.
Keywords :
Volterra equations; differential equations; fuzzy set theory; initial value problems; ODES; characterization theorems; fuzzy Volterra integral equations; initial value problems; numerical solutions; Cybernetics; Integral equations; Machine learning; Fuzzy number; characterization theorem; fuzzy Volterra integral equations; hukuhara differentiability;
Conference_Titel :
Machine Learning and Cybernetics, 2009 International Conference on
Conference_Location :
Baoding
Print_ISBN :
978-1-4244-3702-3
Electronic_ISBN :
978-1-4244-3703-0
DOI :
10.1109/ICMLC.2009.5212439
