Skip to main content
Log in

Multiple attribute similarity hypermatching

  • Foundations
  • Published:
Soft Computing Aims and scope Submit manuscript

Abstract

An approach to objects or events similarity is based on the similarity of the data values of the specific attributes. Similarity is refined by considering importance weights for attributes and also the issues of unusual attribute values where the concept of importance amplification is used to provide soft matching of objects or events We then introduce extensions to hypermatching where certain combinations of attributes are relevant. This is approached by modeling how to represent commonly occurring attribute data values whose co-occurrence is uncommon. Certainly not all attribute combinations are typically of the same interest. What can be expected is that for a particular context or application, some subset of the attributes is being focused upon. As an application, we illustrate the importance of considering combinations of attribute values in assessing evidence in geospatial profiling.

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

Access this article

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Fig. 1
Fig. 2
Fig. 3

Similar content being viewed by others

Notes

  1. This is based on comments from one of the reviewers.

References

  • Anderson D, Ros M, Keller J, Cuellar M, Popescu M, Delgado M, Vila A (2012) Similarity measure for anomaly detection and comparing human behaviors. Int J Intell Syst 27:733–756

    Article  Google Scholar 

  • Boyd D, Crawford K (2012) Critical questions for big data. Inf Commun Soc 15(5):662–679

    Article  Google Scholar 

  • Brown A, Smith A, Elmhurst O (2002) The combined use of pollen and soil analyses in a search and subsequent murder investigation. J Forensic Sci 47:614–618

    Google Scholar 

  • Buckles B, Petry F (1982) A fuzzy representation for relational data bases. Fuzzy Sets Syst 7(3):213–226

    Article  MATH  Google Scholar 

  • Bustince H (2000) Indicator of inclusion grade for interval-valued fuzzy sets: application to approximate reasoning based on interval-valued fuzzy sets. Int J Approx Reason 23(3):137–209

    Article  MathSciNet  MATH  Google Scholar 

  • Bustince H, Mohedano V, Barrenechea E, Pagola M (2006) Definition and construction of fuzzy DI-subsethood measures. Inf Sci 176(21):3190–3231

    Article  MathSciNet  MATH  Google Scholar 

  • Bustince H, Barrenechea E, Pagola M (2008) Relationship between restricted dissimilarity functions, restricted equivalence functions and normal EN-functions: Image thresholding invariant. Pattern Recognit Lett 29(4):525–536

    Article  Google Scholar 

  • Canter D, Youngs D (2008) Principles of geographical offender profiling. Ashgate Publishing, Farnham

    Google Scholar 

  • Castillo E (1988) Extreme value theory in engineering. Academic Press, San Diego, CA

  • Chen S (2010) Multimedia databases and data management: a survey. Int J Multimed Data Eng Manag 1(1):4–15

    Article  Google Scholar 

  • Coles S (2001) An introduction to statistical modeling of extreme values. Springer, London

    Book  MATH  Google Scholar 

  • Deza M, Deza E (2014) Encyclopedia of distances, 3rd edn. Springer, Heidleberg

    MATH  Google Scholar 

  • Elmasri R, Navathe S (2010) Fundamentals of database systems, 6th edn. Addison-Wesley, Boston

    MATH  Google Scholar 

  • Kantardzic M (2011) Data mining: concepts, models, methods and algorithms. IEEE Press, Piscataway

    Book  MATH  Google Scholar 

  • Lindgren G, Rootzen H (1987) Extreme values: theory and technical applications. Scand J Stat 14:241–279

    MathSciNet  MATH  Google Scholar 

  • Michael K, Miller KB (2013) Big data: new opportunities and new challenges. IEEE Comput 46(6):22–24

    Article  Google Scholar 

  • Novak S (2011) Extreme values methods with applications to finance. Chapman and Hall, London

    Book  Google Scholar 

  • Nwosu K, Thurasiingham B, Berra B (2011) Multi-media database systems: design and implementation. Kluwer, Norwell

    Google Scholar 

  • Pye K (2007) Geological and soil evidence: forensic applications. CRC Press, Boca Raton

    Book  Google Scholar 

  • Rossmo K (2000) Geographical profiling. CRC Press, Boca Raton

    Google Scholar 

  • Santini S, Jain R (1999) Similarity measures. IEEE Trans Pattern Anal Mach Intell 21(9):871–883

    Article  Google Scholar 

  • Shafer G (1976) A mathematical theory of evidence. Princeton University Press, Princeton

    MATH  Google Scholar 

  • Temkin L (1994) A continuum argument for intransitivity. Philos Public Aff 25(3):175–210

    Article  Google Scholar 

  • Tung A, Zhang R, Koudas N, Ooi B (2006) Similarity search: a matching based approach. In: Proceedings of very large database conference, pp 631–642

  • Tversky A (1969) Intransitivity of preferences. Psychol Rev 76(1):31–48

    Article  Google Scholar 

  • Tversky A, Kranz D (1982) Similarity, separability and the triangle inequality. Psychol Rev 89:123–154

    Article  Google Scholar 

  • Witten I, Frank E, Hall M (2011) Data mining: practical machine learning tools and techniques, 3rd edn. Morgan Kaufmann, San Francisco

    Google Scholar 

  • Yager R, Petry F (2014) Hyper matching: similarity matching with extreme values. IEEE Trans Fuzzy Syst 22(4):949–957

    Article  Google Scholar 

  • Zadeh L (1971) Similarity relations and fuzzy orderings. Inf Sci 3:177–200

    Article  MathSciNet  MATH  Google Scholar 

  • Zadeh L (1978) Fuzzy sets as a basis for a theory of possibility. Fuzzy Sets Syst 1:3–28

    Article  MathSciNet  MATH  Google Scholar 

  • Zezula P, Amato G, Dohnal V, Batko M (2006) Similarity search: the metric space approach. Springer, New York

    MATH  Google Scholar 

Download references

Acknowledgements

Elmore and Petry were supported in part by the Naval Research Laboratory’s Base Program, Program Element No. 0602435 N. Ronald Yager has been in part supported by ONR Grant Award Number N00014-13-1-0626.

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Fred Petry.

Ethics declarations

Conflict of interest

Authors Yager, Elmore and Petry declare they have no conflict of interest.

Ethical approval

This article does not contain any studies with human participants or animals performed by any of the authors.

Additional information

Communicated by A. Di Nola.

Rights and permissions

Reprints and permissions

About this article

Check for updates. Verify currency and authenticity via CrossMark

Cite this article

Yager, R., Petry, F. & Elmore, P. Multiple attribute similarity hypermatching. Soft Comput 22, 2463–2469 (2018). https://doi.org/10.1007/s00500-017-2721-5

Download citation

  • Published:

  • Issue Date:

  • DOI: https://doi.org/10.1007/s00500-017-2721-5

Keywords

Navigation