Granular Relational Calculus:At the Junction of Computing with Relations and Data

Abstract:

While granular computing， in particular fuzzy sets， offers a comprehensive conceptual framework of managing conceptual entities-information granules with the processing mechanisms provided by fuzzy sets， this mechanism does not fully engage experimental data whose characteristics could be fully incorporated in the obtained results. Having this in mind， the fundamental constructs of relational computing and fuzzy relational computing were augmented by mechanisms originating from the area of granular computing. It is advocated that the prescriptive constructs existing in the area of relational calculus are augmented by incorporating a descriptive component， which is governed by the existing data. It is shown that the principle of justifiable granularity helps enhance the existing results by experimental evidence residing with the data and develop the results in the form of information granules.

Key words:granular computing;principle of justifiable granularity;relational calculus;projection;reconstruction;fuzzy relational equations