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A Theory of Attributed Equivalence in Databases with Application to Schema Integration

Published: 01 April 1989 Publication History

Abstract

The authors present a common foundation for integrating pairs of entity sets, pairs of relationship sets, and an entity set with a relationship set. This common foundation is based on the basic principle of integrating attributes. Any pair of objects whose identifying attributes can be integrated can themselves be integrated. Several definitions of attribute equivalence are presented. These definitions can be used to specify the exact nature of the relationship between a pair of attributes. Based on these definitions, several strategies for attribute integration are presented and evaluated.

References

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{1} S. B. Navathe and S. G. Gadgil, "A methodology for view integration in logical data base design," in Proc. 8th Int. Conf. Very Large Data Bases, Mexico City, Sept. 1982, pp. 142-152.
[2]
{2} C. Batini, M. Lenzerini, and S. B. Navathe, "A comparative analysis of methodologies for database schema integration," ACM Comput. Surveys, vol. 18, no. 4, pp. 323-364, Dec. 1986.
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{3} U. Dayal and H. Hwang, "View definition and generalization for database integration in multibase: A system for heterogeneous distributed databases," IEEE Trans. Software Eng., vol. SE-10, no. 6, Nov. 1984.
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{4} R. Elmasri and S. B. Navathe, "Object integration in database design," in Proc. IEEE COMPDEC Conf., Mar. 1984.
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{5} S. B. Navathe, T. Sashidhar, and R. Elmasri, "Relationship matching in schema integration," in Proc. 10th Int. Conf. Very Large Data Bases, 1984.
[6]
{6} R. Elmasri, J. Larson, and S. B. Navathe, "Schema integration algorithms for federated databases and logical database design," Honeywell Systems Development Division, Minneapolis, MN, Tech. Rep. CSC-86-9: 8212, Apr. 1986.
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{7} S. B. Navathe, R. Elmasri, and J. A. Larson, "A methodology for database design by integration of user's views," Computer, vol. 19, no. 1, pp. 50-62, Jan. 1986.
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{8} R. Elmasri, A. Hevner, and J. Weldreyer, "The category concept: An extension to the entity-relationship model," Data and Knowledge Eng. J., vol. 1, no. 1, pp. 75-116, June 1985.
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{9} P. Chen, "The entity-relationship model--Towards a unified view of data," ACM Trans. Database Syst., vol. 1, no. 1, pp. 9-36.
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{10} C. Batini and M. Lenzerini, "A methodology for data schema integration in the entity-relationship model," IEEE Trans. Software Eng., vol. SE-10, no. 6, Nov. 1984.
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{11} R. Elmasri and G. Wiederhold, "GORDAS: A formal, high-level query language for the entity-relationship model," in Proc. 2nd Int. Conf. Entity-Relationship Approach, Washington, DC., Oct. 1981.
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{12} M. Hammer and D. McLeod, "The semantic data model: A modeling mechanism for database applications," in Proc. ACM SIGMOD Conf., 1978, pp. 26-36.
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{15} M. V. Mannino and W. Effelsberg, "Matching techniques in global schema design," in Proc. IEEE COMPDEC Conf., 1984, pp. 418- 425.
[16]
{16} J. A. Larson, S. B. Navathe, and R. Elmasri, "A theory of attribute equivalence in databases with application to schema integration" (extended version), Honeywell Corporate Systems Development Division, Minneapolis, MN, Tech. Rep. CSC-86-10: 8212.

Cited By

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  • (2019)Unsupervised Entity Alignment Using Attribute Triples and Relation TriplesDatabase Systems for Advanced Applications10.1007/978-3-030-18576-3_22(367-382)Online publication date: 22-Apr-2019
  • (2011)Breaking the deadlockProceedings of the 2011th Confederated international conference on On the move to meaningful internet systems - Volume Part II10.5555/2075764.2075794(698-715)Online publication date: 17-Oct-2011
  • (2010)Contextual factors in database integrationProceedings of the 29th international conference on Conceptual modeling10.5555/1929757.1929784(274-287)Online publication date: 1-Nov-2010
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Reviews

Jaroslav Pokorny

The authors attempt to formalize some notions concerning attribute, object, and relationship equivalence. In addition, the paper discusses different strategies for attribute integration and their application to both object and relationship integration in a conceptual database design. Although the paper is well structured, the formal and conceptual treatment of defined notions is not exact or powerful. In addition, some of the definitions are not quite clear, and they neglect to include details and questions. For example, according to Definition 3, given attributes a and b, a mapping function f always exists. In the worst case, its domain and range are singletons. Thus a strong &agr; overlaps b, and this notion is not used in other definitions (that is, strong &bgr; and weak &bgr; equivalence). Although the authors state in chapter IIIE that f must be reasonable, what do they mean by reasonable__?__ In addition, in the formulation of Definition 7, the disjoint domains of a and b are not sufficient conditions for strong or weak equivalence. Unfortunately, the paper does not mention related works involving theoretically more sound approaches to attribute equivalence, such as Pokorny´ [1] and Duz?i´ et al. [2], in which problems are solved at a more semantic level. From these papers, it follows that comparing ranges of attributes is insufficient for the equivalence theory. Although the simple integration examples in the paper reflect the proposed integration methods, the methods are not really supported by the proposed theory.

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Published In

cover image IEEE Transactions on Software Engineering
IEEE Transactions on Software Engineering  Volume 15, Issue 4
April 1989
137 pages
ISSN:0098-5589
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IEEE Press

Publication History

Published: 01 April 1989

Author Tags

  1. attribute integration
  2. attributed equivalence
  3. database theory
  4. entity sets
  5. equivalence classes.
  6. relationship sets
  7. schema integration

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Cited By

View all
  • (2019)Unsupervised Entity Alignment Using Attribute Triples and Relation TriplesDatabase Systems for Advanced Applications10.1007/978-3-030-18576-3_22(367-382)Online publication date: 22-Apr-2019
  • (2011)Breaking the deadlockProceedings of the 2011th Confederated international conference on On the move to meaningful internet systems - Volume Part II10.5555/2075764.2075794(698-715)Online publication date: 17-Oct-2011
  • (2010)Contextual factors in database integrationProceedings of the 29th international conference on Conceptual modeling10.5555/1929757.1929784(274-287)Online publication date: 1-Nov-2010
  • (2010)Managing Inconsistencies in Data Grid EnvironmentsInternational Journal of Grid and High Performance Computing10.4018/jghpc.20101001052:4(51-64)Online publication date: 1-Oct-2010
  • (2010)Ontology-Based mining of brainwavesProceedings of the 14th Pacific-Asia conference on Advances in Knowledge Discovery and Data Mining - Volume Part II10.1007/978-3-642-13672-6_5(43-54)Online publication date: 21-Jun-2010
  • (2009)Efficient discovery of join plans in schemaless dataProceedings of the 2009 International Database Engineering & Applications Symposium10.1145/1620432.1620434(1-11)Online publication date: 16-Sep-2009
  • (2009)Semi-automated model matching using version differenceAdvanced Engineering Informatics10.1016/j.aei.2008.05.00523:1(1-11)Online publication date: 1-Jan-2009
  • (2008)An Exploratory Study of Database Integration ProcessesIEEE Transactions on Knowledge and Data Engineering10.1109/TKDE.2007.19067520:1(99-115)Online publication date: 1-Jan-2008
  • (2008)Interschema correspondence establishment in a cooperative OWL-based multi-information server grid environmentInformation Sciences: an International Journal10.1016/j.ins.2007.09.010178:4(1011-1031)Online publication date: 20-Feb-2008
  • (2008)Ten Challenges for Ontology MatchingProceedings of the OTM 2008 Confederated International Conferences, CoopIS, DOA, GADA, IS, and ODBASE 2008. Part II on On the Move to Meaningful Internet Systems10.1007/978-3-540-88873-4_18(1164-1182)Online publication date: 9-Nov-2008
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