Numerical solutions of fuzzy differential and integral equations

被引:214
作者
Friedman, M
Ma, M
Kandel, A [1 ]
机构
[1] Tel Aviv Univ, Dept Elect Engn Syst, IL-69978 Tel Aviv, Israel
[2] Univ S Florida, Dept Comp Sci & Engn, Tampa, FL 33620 USA
关键词
fuzzy numbers; fuzzy differential equations; fuzzy integral equations; numerical methods; fuzzy dynamical systems;
D O I
10.1016/S0165-0114(98)00355-8
中图分类号
TP301 [理论、方法];
学科分类号
081202 ;
摘要
Using the embedding method, numerical procedures for solving fuzzy differential equations (FDEs) and fuzzy integral equations (FIEs) with arbitrary kernels have been investigated. Sufficient conditions for convergence of the proposed algorithms are given and their applicability is illustrated with examples, This work and its conclusions may narrow the gap between the theoretical research on FDEs and FIEs and the practical applications already existing in the design of various fuzzy dynamical systems. (C) 1999 Elsevier Science B.V. All nights reserved.
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页码:35 / 48
页数:14
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