Skip to main content

Affinity Propagation Based on Intuitionistic Fuzzy Similarity Measure

  • Conference paper
  • First Online:
Intelligent and Interactive Computing

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 67))

  • 735 Accesses

Abstract

Affinity Propagation (AP) is a recently proposed clustering technique, widely used in literature, which finds the cluster center by exchanging real messages between pairs of data. These messages are calculated on the basis of similarity matrix. Accordingly, the similarity matrix is considered an essential procedure of the AP. Negative Euclidean distance is used as a similarity measure, in order to construct the similarity matrix of the AP. However, most data points lie in the non-Euclidean space which becomes difficult for the Euclidean distance to acquire the real data structure. The performance of AP might be degraded if this drawback occurs. A clustering method is proposed here called Intuitionistic Fuzzy Affinity Propagation (IFAP) that uses an intuitionistic fuzzy similarity measure to construct the similarity matrix among data points. Subsequently, the similarity matrix is fed into the AP procedure, and the cluster center will emerge after a couple of iterations. The numerical experiment is demonstrated. Results show that the IFAP outperforms the other clustering method.

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 129.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 169.99
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

References

  1. Yang J et al (2010) Affinity propagation feature clustering with application to vehicle detection and tracking in road traffic surveillance. In: 2010 Seventh IEEE international conference on advanced video and signal based surveillance (AVSS). IEEE

    Google Scholar 

  2. MacQueen J (1967) Some methods for classification and analysis of multivariate observations. In: Proceedings of the fifth Berkeley symposium on mathematical statistics and probability. Oakland, CA, USA

    Google Scholar 

  3. Kaufman L, Rousseeuw P (1987) Clustering by means of medoids. North-Holland

    Google Scholar 

  4. Frey BJ, Dueck D (2007) Clustering by passing messages between data points. Science 315(5814):972–976

    Article  MathSciNet  Google Scholar 

  5. Yang C et al (2010) A fuzzy-statistics-based affinity propagation technique for clustering in multispectral images. IEEE Trans Geosci Remote Sens 48(6):2647–2659

    Article  Google Scholar 

  6. Jiang Y, Liao Y, Yu G (2016) Affinity propagation clustering using path based similarity. Algorithms 9(3):46

    Article  MathSciNet  Google Scholar 

  7. Wang X, Wang Y, Wang L (2004) Improving fuzzy c-means clustering based on feature-weight learning. Pattern Recogn Lett 25(10):1123–1132

    Article  Google Scholar 

  8. Keller JM, Gray MR, Givens JA (1985) A fuzzy k-nearest neighbor algorithm. IEEE Trans Syst Man Cybern 4:580–585

    Article  Google Scholar 

  9. Burrough PA et al (2001) Fuzzy k-means classification of topo-climatic data as an aid to forest mapping in the Greater Yellowstone Area, USA. Landscape Ecol 16(6):523–546

    Article  MathSciNet  Google Scholar 

  10. Tran D, Wagner H (1999) Fuzzy expectation-maximisation algorithm for speech and speaker recognition. In: Fuzzy information processing society, 1999. NAFIPS. 18th International conference of the North American. IEEE

    Google Scholar 

  11. Zadeh LA (1965) Fuzzy sets. Inf Control 8(3):338–353

    Article  Google Scholar 

  12. Bezdek JC, Ehrlich R, Full W (1984) FCM: the fuzzy c-means clustering algorithm. Comput Geosci 10(2–3):191–203

    Article  Google Scholar 

  13. Tian W et al (2014) Research on clustering based meteorological data mining methods. Adv Sci Technol Lett 79:106–112

    Article  Google Scholar 

  14. Atanassov KT (1986) Intuitionistic fuzzy sets. Fuzzy Sets Syst 20(1):87–96

    Article  MathSciNet  Google Scholar 

  15. Dueck D, Frey BJ (2007) Non-metric affinity propagation for unsupervised image categorization. In: IEEE 11th international conference on computer vision, 2007. ICCV 2007. IEEE

    Google Scholar 

  16. Kang Y, Choi S (2009) Common neighborhood sub-graph density as a similarity measure for community detection. In: International conference on neural information processing, Springer

    Google Scholar 

  17. Guan R et al (2011) Text clustering with seeds affinity propagation. IEEE Trans Knowl Data Eng 23(4):627–637

    Article  Google Scholar 

  18. Geweniger T et al (2009) Fuzzy variant of affinity propagation in comparison to median fuzzy c-means. In: International workshop on self-organizing maps. Springer

    Google Scholar 

  19. Li P et al (2018) Dynamic equivalent modeling of two-staged photovoltaic power station clusters based on dynamic affinity propagation clustering algorithm. Int J Electr Power Energy Syst 95:463–475

    Article  Google Scholar 

  20. Liu J, Zhao X-D, Xu Z-H (2017) Identification of rock discontinuity sets based on a modified affinity propagation algorithm. Int J Rock Mech Min Sci 94:32–42

    Article  Google Scholar 

  21. Shrivastava SK, Rana J, Jain R (2013) Fast affinity propagation clustering based on machine learning

    Google Scholar 

  22. Xu Z (2013) Intuitionistic fuzzy aggregation and clustering, vol 279. Springer

    Google Scholar 

  23. Kacprzyk J (1997) Multistage fuzzy control: a prescriptive approach. Wiley

    Google Scholar 

  24. Szmidt E, Kacprzyk J (2000) Distances between intuitionistic fuzzy sets. Fuzzy Sets Syst 114(3):505–518

    Article  MathSciNet  Google Scholar 

  25. Grzegorzewski P (2004) Distances between intuitionistic fuzzy sets and/or interval-valued fuzzy sets based on the Hausdorff metric. Fuzzy Sets Syst 148(2):319–328

    Article  MathSciNet  Google Scholar 

  26. Yager RR (1979) On the measure of fuzziness and negation part I: membership in the unit interval

    Google Scholar 

  27. Zhang X et al (2010) K-AP: generating specified K clusters by efficient affinity propagation. In: 2010 IEEE 10th international conference on data mining (ICDM). IEEE

    Google Scholar 

  28. Han J, Pei J, Kamber M (2011) Data mining: concepts and techniques. Elsevier

    Google Scholar 

  29. Dheeru D, Taniskidou EK (2017) UCI machine learning repository. Retrieved from http://archive.ics.uci.edu/ml

  30. Fowlkes EB, Mallows CL (1983) A method for comparing two hierarchical clusterings. J Am Stat Assoc 78(383):553–569

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Omar M. Akash .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2019 Springer Nature Singapore Pte Ltd.

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Akash, O.M., Ahmad, S.S.S., Azmi, M.S., Alkouri, A.U.M. (2019). Affinity Propagation Based on Intuitionistic Fuzzy Similarity Measure. In: Piuri, V., Balas, V., Borah, S., Syed Ahmad, S. (eds) Intelligent and Interactive Computing. Lecture Notes in Networks and Systems, vol 67. Springer, Singapore. https://doi.org/10.1007/978-981-13-6031-2_30

Download citation

Publish with us

Policies and ethics