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Interoperability among Distributed Overlapping Ontologies – A Fuzzy Ontology Framework

Interoperability among Distributed Overlapping Ontologies – A Fuzzy Ontology Framework. Author: Muhammad Abulaish and Lipika Dey Presenter: Anjul Kumar. Outline. Some Ontology Matching Methodologies Shortcomings of Existing Ontology Matching Algorithms Ontology Matching Approach

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Interoperability among Distributed Overlapping Ontologies – A Fuzzy Ontology Framework

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  1. Interoperability among Distributed Overlapping Ontologies – A Fuzzy OntologyFramework Author: Muhammad Abulaishand LipikaDey Presenter: Anjul Kumar

  2. Outline • Some Ontology Matching Methodologies • Shortcomings of Existing Ontology Matching Algorithms • Ontology Matching Approach • Ontology for Structured Representation • Fuzzy Ontology Structure • Conclusion

  3. Some Ontology Matching Methodologies • Ontology Integration System (OIS) • GLUE • KAON • H-MATCH • PROMPT • Chimera

  4. Shortcomings of Existing Ontology Matching Algorithms • The systems that perform ontology mapping are often either embedded in an integrated environment for ontology editing or are attached to a specific formalism. • In most cases mapping and merging are based on heuristics that mostly use syntactic clues to determinecorrespondence or equivalence between ontology concepts.

  5. Ontology Matching Approach • All ontologies can be viewed as fuzzy ontologies. • Every concept is associated to a new descriptor called concept consistency

  6. Ontology for Structured Representation • An Ontology Θ is a triplet of the form Θ = (C, Ρ, ℜ ) • C is set of concepts • Ρ is a set of concept properties • ℜ ⊆ C × C × RT is a set of binary semantic relations defined between concepts in Θ

  7. Ontology for Structured Representation • ℜ is recursively defined as follows: • A set of atomic relations ℜa= {≈, ↑,↓, ∇, Δ} • If ℜ1, ℜ2 ∈ ℜ be any two relations defined between concept-pairs in Θ and ο denotes a composition operation, ℜ1 ο ℜ2 is a valid relation.

  8. Fuzzy Ontology Structure • A Fuzzy Ontology, ΘF, is a quadruple of the form ΘF = (C, ΡF, ℜF, M) • C is set of concepts • ΡF is a set of fuzzy concept properties • ℜF is a set of inter-concept relations between concepts. ℜF is defined as a quadruple of the form ℜF (c, c, t, qf) • M is the universe of discourse

  9. Fuzzy Ontology Structure

  10. Fuzzy Ontology Structure

  11. Fuzzy Ontology Structure

  12. Fuzzy Ontology Structure

  13. Fuzzy Ontology Structure

  14. Fuzzy Ontology Structure

  15. Fuzzy Ontology Structure

  16. Conclusion • The use of the proposed framework is shown to quantify inconsistencies in concept definitions across multiple overlapping ontologiesrepresenting the same domain • This framework produces a unique measure of consistency for each concept that is defined for any ontology

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