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We consider the formal representation and analysis of systems with fuzzy-time information. First, we present a formalism to represent specifications. This model exploits the concepts of fuzzy set theory and uses a mathematical framework to get a more flexible approach. As it is usually assumed in industrial case studies, we consider that the original requirements of the specification may change. The implementation is built with respect to these changes but the specification is not upgraded. Thus, it may be outdated. In order to continue using the formal framework, the specification must be adapted with respect to these new requirements. We consider that this update process should be as non-intrusive as possible, that is, without using the source-code of the implementation. We present a novel methodology for self-evolving fuzzy-time systems, without interacting with the source code.