Abstract
After briefly recalling the definitions of our mathematical model of structuration : the R-Structures and the principles of another model of structuration the Hypergraph Based Data Structures, which allows the manipulation of fuzzy information at the level of data capture, we explain how they can be drawn closer to each other. Our algorithms of correspondence which allow to turn any H.B. Data Structure into a R-Structure are associated with the H.B. Data Structuration of the R-Structures to show that the R-Structures are a powerful tool for the H.B.D.S. manipulation. We use the Fuzzy Set Theory to consider fuzzy R-Structures. Taking as a basis the fuzzy Abstract Data Types of the H.B.D.S. we show our results include them and lead to suggest new types of fuzzy data of materialization. Then a quite new concept, fuzzy skeleton of structure, is discussed. It is shown their manipulation is made possible by the previous results. The most important point is the presentation of a type of fuzziness between materialization level and skeleton level, we named the Fractal Data. To conclude we go further the scientific and theoritical meaning we have given to the fuzzy structuration to reach an epistemological meaning.
Published Version
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