Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
389715 | Fuzzy Sets and Systems | 2014 | 12 Pages |
Abstract
We discuss the existence of a solution to the Cauchy problem for fuzzy differential equations that accommodates the notion of fuzzy sets defined by complex-valued membership functions. We first propose definitions of complex fuzzy sets and discuss entailed results which parallel those of regular fuzzy numbers. We then give two existence results relevant to the Cauchy problem for fuzzy differential equations in the case of bounded integral operators. These results require either Hölder continuous or Lipschitz continuous response functions.
Related Topics
Physical Sciences and Engineering
Computer Science
Artificial Intelligence
Authors
Daria Karpenko, Robert A. Van Gorder, Abraham Kandel,