Interconnection between set and fuzzy differential equations

The original formulation of fuzzy differential equations suffers from the disadvantage since the solutions increases as time increases. In this paper, employing the results of set differential equations obtained in V. Laksmikantham, S. Leela, A.S. Vatsala, Setvalued hybrid differential equations and stability in terms of two measures, J. Hybrid Systems 2 (2) (2002) 169-188, a new approach is suggested in order to capture the vagueness and the rich properties of solutions without fuzziness. (C) 2003 Elsevier Science Ltd. All rights reserved.