Skip to main content

Generating Ontologies from Relational Data with Fuzzy-Syllogistic Reasoning

  • Conference paper
Beyond Databases, Architectures and Structures (BDAS 2015)

Part of the book series: Communications in Computer and Information Science ((CCIS,volume 521))

Abstract

Existing standards for crisp description logics facilitate information exchange between systems that reason with crisp ontologies. Applications with probabilistic or possibilistic extensions of ontologies and reasoners promise to capture more information, because they can deal with more uncertainties or vagueness of information. However, since there are no standards for either extension, information exchange between such applications is not generic. Fuzzy-syllogistic reasoning with the fuzzy-syllogistic system 4S provides 2048 possible fuzzy inference schema for every possible triple concept relationship of an ontology. Since the inference schema are the result of all possible set-theoretic relationships between three sets with three out of 8 possible fuzzy-quantifiers, the whole set of 2048 possible fuzzy inferences can be used as one generic fuzzy reasoner for quantified ontologies. In that sense, a fuzzy syllogistic reasoner can be employed as a generic reasoner that combines possibilistic inferencing with probabilistic ontologies, thus facilitating knowledge exchange between ontology applications of different domains as well as information fusion over them.

This is a preview of subscription content, log in via an institution to check access.

Access this chapter

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD 39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Purchases are for personal use only

Institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Albarrak, M.K., Sibley, E.H.: Translating relational and object-relational database models into owl model. In: IEEE IRI (2009)

    Google Scholar 

  2. Bobillo, F., Delgado, M., Gomez-Romero, J.: DeLorean: a reasoner for fuzzy OWL 1.1. In: Uncertainty Reasoning for the Semantic Web (URSW). LNAI. Springer (2008)

    Google Scholar 

  3. Bobillo, F., Straccia, U.: fuzzyDL: an expressive fuzzy description logic reasoner. In: Fuzzy Systems (FUZZIEEE). IEEE Computer Society (2008)

    Google Scholar 

  4. Bobillo, F., Straccia, U.: Fuzzy ontologies and fuzzy integrals. In: Intelligent Systems Design and Applications (ISDA). Springer (2011)

    Google Scholar 

  5. Bobillo, F., Straccia, U.: Reasoning with the finitely many-valued łukasiewicz fuzzy description logic sroiq. Information Sciences 181 (2011)

    Google Scholar 

  6. Bobillo, F., Straccia, U.: Aggregation operators for fuzzy ontologies. Applied Soft Computing 13 (2013)

    Google Scholar 

  7. Calegari, S., Loregian, M.: Using dynamic fuzzy ontologies to understand creative environments. In: Larsen, H.L., Pasi, G., Ortiz-Arroyo, D., Andreasen, T., Christiansen, H. (eds.) FQAS 2006. LNCS (LNAI), vol. 4027, pp. 404–415. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  8. Calegari, S., Ciucci, D.: Fuzzy ontology, fuzzy description logics and fuzzy-OWL. In: Masulli, F., Mitra, S., Pasi, G. (eds.) WILF 2007. LNCS (LNAI), vol. 4578, pp. 118–126. Springer, Heidelberg (2007)

    Chapter  Google Scholar 

  9. Carvalho, R., Laskey, K., da Costa, P.C.G., Ladeira, M., Santos, L., Matsumoto, S.: Unbbayes: Modeling uncertainty for plausible reasoning in the semantic web. In: Semantic Web. Intech (2010)

    Google Scholar 

  10. Cerbah, F.: Learning highly structured semantic repositories from relational databases: The RDBToOnto tool. In: Bechhofer, S., Hauswirth, M., Hoffmann, J., Koubarakis, M. (eds.) ESWC 2008. LNCS, vol. 5021, pp. 777–781. Springer, Heidelberg (2008)

    Chapter  Google Scholar 

  11. Cerbah, F.: Mining the content of relational database to learn ontology with deeper taxonomies. In: Web Intelligence and Intelligent Agent Technology, IEEE, WIC (2008)

    Google Scholar 

  12. Codd, E.F.: Further normalization of the data base relational model. IBM Reaserch Report (1972)

    Google Scholar 

  13. da Costa, P.C.G., Laskey, K.B., Chang, K.C.: PROGNOS: Applying probabilistic ontologies to distributed predictive situation assessment in naval operations. In: International Command and Control Research and Technology Symposium (ICCRTS), C2 Journal (2009)

    Google Scholar 

  14. De Giacomo, G., Lembo, D., Lenzerini, M., Poggi, A., Rosati, R., Ruzzi, M., Savo, D.F.: Mastro: A reasoner for effective ontology based data access. In: OWL Reasoner Evaluation Workshop (ORE) (2012)

    Google Scholar 

  15. Fisher, M., Dean, M.: Automapper: Relational database semantic translation using OWL and SWRL. OWL experiences and Directions (OWLED), World Wide Web Consortium (w3c) (2008)

    Google Scholar 

  16. Forgy, C.: Rete: A fast algorithm for the many pattern/many object pattern match problem. Artificial Intelligence 19 (1982)

    Google Scholar 

  17. Getoor, L., Taskar, B.: Introduction to statistical relational learning. MIT Press (2007)

    Google Scholar 

  18. Ghawi, R., Cullot, N.: Database-to-ontology mapping generation for semantic interoperability. In: Very Large Databases (VLDB). ACM (2007)

    Google Scholar 

  19. Ghorbel, H., Bahri, A., Bouaziz, R.: Fuzzy protégé for fuzzy ontology models. In: International Protégé Conference (IPC), Stanford Medical Informatics (2009)

    Google Scholar 

  20. Hazman, M., El-Beltagy, S.R., Rafea, A.: A survey of ontology learning approaches. International Journal of Computer Applications 22(9) (2011)

    Google Scholar 

  21. He-ping, C., Lu, H., Bin, C.: Research and implementation of ontology automatic construction based on relational database. In: Computer Science and Software Engineering. IEEE Computer Society (2008)

    Google Scholar 

  22. Kumova, B.I.: Symmetric properties of the syllogistic system inherited from the square of opposition (in review) (2015)

    Google Scholar 

  23. Kumova, B.İ., Çakır, H.: Algorithmic decision of syllogisms. In: García-Pedrajas, N., Herrera, F., Fyfe, C., Benítez, J.M., Ali, M. (eds.) IEA/AIE 2010, Part II. LNCS (LNAI), vol. 6097, pp. 28–38. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  24. Kumova, B.İ., Çakir, H.: The fuzzy syllogistic system. In: Sidorov, G., Hernández Aguirre, A., Reyes García, C.A. (eds.) MICAI 2010, Part II. LNCS (LNAI), vol. 6438, pp. 418–427. Springer, Heidelberg (2010)

    Chapter  Google Scholar 

  25. Laskey, K.B.: MEBN: A language for first-order bayesian knowledge bases. Artificial Intelligence 172 (2007)

    Google Scholar 

  26. Lin, L., Xu, Z., Ding, Y.: Owl ontology extraction from relational databases via database reverse engineering. Journal of Software 8(11) (2013)

    Google Scholar 

  27. Lubyte, L., Tessaris, S.: Automatic extraction of ontologies wrapping relational data sources. In: Bhowmick, S.S., Küng, J., Wagner, R. (eds.) DEXA 2009. LNCS, vol. 5690, pp. 128–142. Springer, Heidelberg (2009)

    Chapter  Google Scholar 

  28. Lukasiewicz, T., Straccia, U.: Managing uncertainty and vagueness in description logics for the semanticweb. Web Semantics: Science, Services and Agents on the World Wide Web 6 (2008)

    Google Scholar 

  29. Maedche, A., Staab, S.: Ontology learning for the semantic web. IEEE Intelligent Systems and Their Applications 16(2) (2005)

    Google Scholar 

  30. Martinez-Cruz, C., Blanco, I.J., Vila, M.A.: Ontologies versus relational databases: are they so different? A comparison. Artificial Intelligence Review 38 (2011)

    Google Scholar 

  31. Motik, B., Shearer, R., Horrocks, I.: Hypertableau reasoning for description logics. Journal of Artificial Intelligence Research 36 (2009)

    Google Scholar 

  32. Myroshnichenko, I., Murphy, M.C.: Mapping er schemas to owl ontology. Semantic Computing, Berkeley (2009)

    Google Scholar 

  33. Park, C.Y., Laskey, K.B., Costa, P., Matsumoto, S.: Multi-entity bayesian networks learning in predictive situation awareness. In: International Command and Control Research and Technology Symposium (ICCRTS), US DoD (2013)

    Google Scholar 

  34. Qi, G., Pan, J.Z., Ji, Q.: A possibilistic extension of description logics. Description Logics (DL), Sun SITE Central Europe (CEUR) (2007)

    Google Scholar 

  35. Riguzzi, F.: Probabilistic description logics under the distribution semantics. Semantic Web Journal, SWJ (2013)

    Google Scholar 

  36. Rosati, R., Almatelli, A.: Improving query answering over DLLite ontologies. In: Principles of Knowledge Representation and Reasoning (KR). AAAI (2010)

    Google Scholar 

  37. Sahoo, S.S., Halb, W., Hellmann, S., Idehen, K., Thibodeau Jr., T., Auer, S., Sequeda, J., Ezzat, A.: A survey of current approaches for mapping of relational databases to rdf. W3C RDB2RDF Incubator Group (2009)

    Google Scholar 

  38. Santoso, H.A., Haw, S.C., Abdul-Mehdi, Z.T.: Ontology extraction from relational database: Concept hierarchy as background knowledge. Knowledge-Based Sys. (2011)

    Google Scholar 

  39. Sirin, E., Parsia, B., Cuenca-Grau, B., Kalyanpur, A., Katz, Y.: Pellet: A practical owldl reasoner. Journal of Web Semantics 5(2) (2007)

    Google Scholar 

  40. Stoilos, G., Simou, N., Stamou, G., Kollias, S.: The fuzzy description logic fshin. In: Uncertainty Reasoning for the Semantic Web, CEUR Electronic Workshop (2005)

    Google Scholar 

  41. Stoilos, G., Simou, N., Stamou, G., Kollias, S.: Uncertainty and the semantic web. IEEE Intelligent Systems 21, 5 (2006)

    Google Scholar 

  42. Straccia, U.: Reasoning within fuzzy description logics. Journal of Artificial Intelligence Research 14 (2001)

    Google Scholar 

  43. Straccia, U.: SoftFacts: A top-k retrieval engine for ontology mediated access to relational databases. In: Systems, Man and Cybernetics (SMC). IEEE (2010)

    Google Scholar 

  44. Trinkunas, J., Vasilecas, O.: Building ontologies from relational databases using reverse engineering methods. In: Computer Systems and Technologies. ACM (2007)

    Google Scholar 

  45. Xu, J., Li, W.: Using relational database to build owl ontology from xml data sources. In: Computational Intelligence and Security Workshops. IEEE Computer Society (2007)

    Google Scholar 

  46. Yaguinuma, C.A., Magalhães Jr., W.C.P., Santos, M.T.P., Camargo, H.A., Reformat, M.: Combining fuzzy ontology reasoning and mamdani fuzzy inference system with hyFOM reasoner. In: Hammoudi, S., Cordeiro, J., Maciaszek, L.A., Filipe, J. (eds.) ICEIS 2013. LNBIP, vol. 190, pp. 174–189. Springer, Heidelberg (2014)

    Chapter  Google Scholar 

  47. Zadeh, L.A.: Fuzzy logic and approximate reasoning. Syntheses 30 (1975)

    Google Scholar 

  48. Zadeh, L.A.: Syllogistic reasoning in fuzzy logic and its application to usuality and reasoning with dispositions. IEEE Transactions on Systems, Man and Cybernetics 15(6) (1985)

    Google Scholar 

  49. Zarechnev, M., Kumova, B.I.: Ontology-based fuzzy-syllogistic reasoning. In: Industrial, Engineering and Other Applications of Applied Intelligent Systems (IEA-AIE). LNCS. Springer (2015)

    Google Scholar 

  50. Zhang, F., Ma, Z.M., Yan, L., Cheng, J.: Construction of fuzzy OWL ontologies from fuzzy EER models: A semantics-preserving approach. Fuzzy Sets and Sys. 229 (2013)

    Google Scholar 

  51. Zhang, F., Ma, Z.M., Yan, L., Wang, Y.: A description logic approach for representing and reasoning on fuzzy object-oriented database models. Fuzzy Sets and Systems 186 (2012)

    Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Bora İ. Kumova .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2015 Springer International Publishing Switzerland

About this paper

Cite this paper

Kumova, B.İ. (2015). Generating Ontologies from Relational Data with Fuzzy-Syllogistic Reasoning. In: Kozielski, S., Mrozek, D., Kasprowski, P., Małysiak-Mrozek, B., Kostrzewa, D. (eds) Beyond Databases, Architectures and Structures. BDAS 2015. Communications in Computer and Information Science, vol 521. Springer, Cham. https://doi.org/10.1007/978-3-319-18422-7_2

Download citation

  • DOI: https://doi.org/10.1007/978-3-319-18422-7_2

  • Publisher Name: Springer, Cham

  • Print ISBN: 978-3-319-18421-0

  • Online ISBN: 978-3-319-18422-7

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics