Title :
On fuzzy dynamical processes
Author :
Kandel, Abraham ; Friedman, Menahem ; Ming, Ma
Author_Institution :
Dept. of Comput. Sci. & Eng., Univ. of South Florida, Tampa, FL, USA
Abstract :
A new approach for defining a fuzzy derivative is introduced and a comparison with a previous approach illustrates the advantageous of the new method. A first order fuzzy differential equation and a fuzzy Cauchy problem are defined and sufficient conditions for existence and uniqueness of solutions to fuzzy initial-value problems are given. Solutions are calculated for simple examples
Keywords :
Banach spaces; differential equations; fuzzy set theory; initial value problems; existence; first order fuzzy differential equation; fuzzy Cauchy problem; fuzzy derivative; fuzzy dynamical processes; fuzzy initial-value problems; sufficient conditions; uniqueness; Arithmetic; Computer science; Differential equations; Fuzzy logic; Fuzzy sets; Fuzzy systems; Physics; Sufficient conditions;
Conference_Titel :
Fuzzy Systems, 1996., Proceedings of the Fifth IEEE International Conference on
Conference_Location :
New Orleans, LA
Print_ISBN :
0-7803-3645-3
DOI :
10.1109/FUZZY.1996.552646
