As our knowledge about time is usually vague and unprecize, the fuzzy set theory and the possibility theory represent convenient framework for modeling in temporally rich domains. In many models, temporal reasoning depend on the chosen primitives (fuzzy or nonfuzzy) time instant or/and time interval. This paper presents a new approach for modeling fuzzy time primitives. By a new definition of the fuzzy time interval, introduced in this paper, the fuzzy time interval is represented as a single fuzzy set. This simplifies reasoning process allowing defining temporal interval from two possibility distribution and vice versa it allows converting membership function of an interval into possibility distribution of an instant. This definition of an interval extends the set of temporal linguistic expressions that can be modeled in the system. |