This paper presents an extended notion of two primitive set-theoretic operations for use in a fuzzy interval-based temporal model and also studies its properties. Such a model has been proposed to handle the fuzziness aspect of time that can arise in the temporal database environment. In general, set-theoretic operators are regarded as temporal constructors in query processing of temporal databases. Therefore, our major aim of this study is to provide the concept and techniques to process those temporal constructors with the existence of fuzziness in temporal data. The result of this understanding can provide a basic ground for further study of a query evaluation in temporal databases that need to handle the fuzziness of time.
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