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A Novel View of Bipolarity in Linguistic Data Summaries

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Issues and Challenges of Intelligent Systems and Computational Intelligence

Part of the book series: Studies in Computational Intelligence ((SCI,volume 530))

Abstract

The problem of data summarization of a set of (numeric) data, notably a (relational) database is dealt with. We are concerned with how to devise a short, (quasi) natural language summary, in the form of a sentence, which would best grasp the very content of the set of data. For instance, for a personnel database with records corresponding to particular employees who are described by attributes like age, sex, salary, etc., such a linguistic summary with respect to age may be “most employees are middle aged”. We use as a point of departure a fuzzy logic based approach to linguistic summarization originated by Yager, and then developed by Kacprzyk and Zadrożny who have also indicated—first—an intrinsic connection between linguistic summarization and fuzzy querying, and—second—a crucial role of protoforms in Zadeh’s sense. The second point of departure is the concept of a bipolar query in the sense that the querying criteria may be mandatory and optional, i.e. those which must be satisfied and those which should be satisfied if possible, as initiated by Zadrożny, and then developed by Zadrożny, Kacprzyk and De Tré. In this paper we present the concept of a bipolar linguistic summary that combines the very concepts of a linguistic summary with that of bipolarity in the above sense, and also an analogous relation between the linguistic summaries and bipolar queries.

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References

  1. Yager, R.R.: A new approach to the summarization of data. Inf. Sci. 28, 69–86 (1982)

    Article  MATH  MathSciNet  Google Scholar 

  2. Yager, R.R.: On linguistic summaries of data. In: Frawley, W., Piatetsky-Shapiro. G., (eds.) Knowledge Discovery in Databases, pp. 347–363. AAAI/MIT Press (1991)

    Google Scholar 

  3. Kacprzyk, J., Yager, R.R.: Linguistic summaries of data using fuzzy logic. Int. J. Gen. Syst. 30, 33–154 (2001)

    Article  MathSciNet  Google Scholar 

  4. Kacprzyk, J., Yager, R.R., Zadrożny, S.: A fuzzy logic based approach to linguistic summaries of databases. Int. J. Appl. Math. Comput. Sci. 10, 813–834 (2000)

    MATH  Google Scholar 

  5. Kacprzyk, J., Zadrożny, S.: Computing with words: towards a new generation of linguistic querying and summarization of databases. In: Sinčak, P., Vaščak, J. (eds.) Quo Vadis Computational Intelligence?, pp. 144–175. Springer, Heidelberg and New York (2000)

    Google Scholar 

  6. Kacprzyk, J., Zadrożny, S.: Linguistic database summaries and their protoforms: towards natural language based knowledge discovery tools. Inf. Sci. 173(4), 281–304 (2005)

    Article  Google Scholar 

  7. Kacprzyk, J., Zadrożny, S.: Computing with words is an implementable paradigm: fuzzy queries, linguistic data summaries, and natural-language generation. IEEE Trans. Fuzzy Syst. 18(3), 461–472 (2010)

    Article  Google Scholar 

  8. Kacprzyk, J., Zadrożny, S.: Data mining via linguistic summaries of data: an interactive approach. In: Yamakawa, T., Matsumoto, G. (eds.) Methodologies for the Conception, Design and Application of Soft Computing, pp. 668–671. Proceedings of IIZUKA’98, Iizuka, Japan (1998)

    Google Scholar 

  9. Kacprzyk, J., Zadrożny, S.: Data mining via linguistic summaries of databases: an interactive approach. In: Ding, L. (ed.) A New Paradigm of Knowledge Engineering by Soft Computing, pp. 325–345. World Scientific, Singapore (2001)

    Google Scholar 

  10. Dubois, D., Prade, H.: Bipolarity in flexible querying. In: Andreasen, T., Motro, A., Christiansen, H., Larsen, H. L. (eds.) FQAS 2002, LNAI, vol. 2522, pp. 174–182. Springer, Heidelberg (2002)

    Google Scholar 

  11. Kacprzyk, J., Zi\(\dot{\rm {o}}\)łkowski, A.: Database queries with fuzzy linguistic quantifiers. IEEE Trans. Syst. Man Cybern. 16(3), 474–479 (1986)

    Google Scholar 

  12. Kacprzyk, J., Zadrożny, S., Ziółkowski, A.: FQUERY III+: a “human consistent” database querying system based on fuzzy logic with linguistic quantifiers. Inf. Syst. 14(6), 443–453 (1989)

    Article  Google Scholar 

  13. Zadeh, L.A.: A computational approach to fuzzy quantifiers in natural languages. Comput. Math. Appl. 9, 149–184 (1983)

    Article  MATH  MathSciNet  Google Scholar 

  14. Kacprzyk, J., Zadrożny, S.: Computing with words in intelligent database querying: standalone and internet-based applications. Inf. Sci. 134(1–4), 71–109 (2001)

    Article  MATH  Google Scholar 

  15. Kacprzyk, J., Yager, R.R., Zadrożny, S.: Fuzzy linguistic summaries of databases for an efficient business data analysis and decision support. In: Abramowicz, W., Żurada, J. (eds.) Knowledge Discovery for Business Information Systems, pp. 129–152. Kluwer, Boston (2001)

    Google Scholar 

  16. Zadeh, L.A.: From search engines to question answering systemsthe problems of world knowledge relevance deduction and precisiation. In: Sanchez, E. (ed.) Fuzzy Logic and the Semantic Web, p. 163210. Elsevier (2006)

    Google Scholar 

  17. Zadeh, L.A.: A prototype-centered approach to adding deduction capabilities to search engines - the concept of a protoform. In: Proceedings of the Annual Meeting of the North American Fuzzy Information Processing Society (NAFIPS 2002), pp. 523–525. New Orleans, USA (2002)

    Google Scholar 

  18. Dubois, D., Prade, H.: Handling bipolar queries in fuzzy information processing. In: Galindo, J. (ed.) Handbook of Research on Fuzzy Information Processing in Databases, pp. 97–114. Information Science Reference, New York (2008)

    Google Scholar 

  19. Matthé, T., De Tré, G., Zadrożny, S., Kacprzyk, J., Bronselaer, A.: Bipolar database querying using bipolar satisfaction degrees. Int. J. Intell. Syst. 26(10), 890–910 (2011)

    Article  Google Scholar 

  20. Lacroix, M., Lavency, P.: Preferences: Putting more knowledge into queries. In: Proceedings of the 13 International Conference on Very Large Databases, pp. 217–225. Brighton, UK (1987)

    Google Scholar 

  21. Yager, R.R.: Higher structures in multi-criteria decision making. Int. J. Man Mach. Stud. 36, 553–570 (1992)

    Article  Google Scholar 

  22. Yager, R.R.: Fuzzy logic in the formulation of decision functions from linguistic specifications. Kybernetes 25(4), 119–130 (1996)

    Article  MATH  MathSciNet  Google Scholar 

  23. Bordogna, G., Pasi, G.: Linguistic aggregation operators of selection criteria in fuzzy information retrieval. Int. J. Intell. Syst. 10(2), 233–248 (1995)

    Article  Google Scholar 

  24. Zadrożny, S.: Bipolar queries revisited. In: Torra, V., Narukawa, Y., Miyamoto, S. (eds.) Modelling Decisions for Artificial Intelligence (MDAI 2005), vol. 3558, pp. 387–398. LNAI, Springer, Heidelberg (2005)

    Google Scholar 

  25. Zadrożny, S., Kacprzyk, J.: Bipolar queries: an aggregation operator focused perspective. Fuzzy Sets Syst. 196, 69–81 (2012)

    Google Scholar 

  26. Dziedzic, M., Zadrożny, S., Kacprzyk, J.: Towards bipolar linguistic summaries: a novel fuzzy bipolar querying based approach. In: Fuzzy Systems (FUZZ-IEEE), 2012 IEEE International Conference on, p. 1–8, june 2012

    Google Scholar 

  27. Kacprzyk, J., Wilbik, A., Zadrożny, S.: Linguistic summarization of time series using a fuzzy quantifier driven aggregation. Fuzzy Sets Syst. 159(12), 1485–1499 (2008)

    Article  MATH  Google Scholar 

  28. Kacprzyk, J., Wilbik, A., Zadrożny, S.: An approach to the linguistic summarization of time series using a fuzzy quantifier driven aggregation. Int. J. Intell. Syst. 25(5), 411–439 (2010)

    MATH  Google Scholar 

  29. Niewiadomski, A.: A type-2 fuzzy approach to linguistic summarization of data. IEEE Trans. Fuzzy Syst. 16(1), 198–212 (2008)

    Article  MathSciNet  Google Scholar 

  30. De Tré, G., Zadrożny, S., Bronselaer, A.: Handling bipolarity in elementary queries to possibilistic databases. IEEE Trans. Fuzzy Sets 18(3), 599–612 (2010)

    Article  Google Scholar 

  31. Zadrożny, S., De Tré, G., Kacprzyk, J.: Remarks on various aspects of bipolarity in database querying. In: DEXA Workshops, IEEE Computer Society (2010)

    Google Scholar 

  32. Kacprzyk, J., Zadrożny, S.: Bipolar queries, and intention and preference modeling: synergy and cross-fertilization. In: Proceedings of the World Conference on Soft Computing, San Francisco, CA, USA, 23/05/2011-26/05/2011 (2010)

    Google Scholar 

  33. Grabisch, M., Greco, S., Pirlot, M.: Bipolar and bivariate models in multicriteria decision analysis: descriptive and constructive approaches. Int. J. Intell. Syst. 23, 930–969 (2008)

    Article  MATH  Google Scholar 

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Acknowledgments

Mateusz Dziedzic contribution is supported by the Foundation for Polish Science under International PhD Projects in Intelligent Computing. Project financed from The European Union within the Innovative Economy Operational Programme (2007–2013) and European Regional Development Fund.

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Authors and Affiliations

  1. Systems Research Institute, Polish Academy of Sciences, ul. Newelska 6, 01-447 , Warsaw, Poland

    Janusz Kacprzyk, Sławomir Zadrożny & Mateusz Dziedzic

  2. Warsaw School of Information Technology, ul. Newelska 6, 01-447 , Warszawa, Poland

    Sławomir Zadrożny

  3. PIAP–Industrial Research Institute of Automation and Measurements, Warsaw, Poland

    Janusz Kacprzyk

  4. Department of Electrical and Computer Engineering, Cracow University of Technology, Cracow, Poland

    Mateusz Dziedzic

Authors
  1. Janusz Kacprzyk
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  2. Sławomir Zadrożny
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  3. Mateusz Dziedzic
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Corresponding author

Correspondence to Janusz Kacprzyk .

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Editors and Affiliations

  1. Department of Automation, Széchenyi István University, Győr, Hungary

    László T. Kóczy

  2. Department of Information Technology, Széchenyi István University, Győr, Hungary

    Claudiu R. Pozna

  3. Systems Research Institute, Polish Academy of Sciences, Warsaw, Poland

    Janusz Kacprzyk

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Kacprzyk, J., Zadrożny, S., Dziedzic, M. (2014). A Novel View of Bipolarity in Linguistic Data Summaries. In: Kóczy, L., Pozna, C., Kacprzyk, J. (eds) Issues and Challenges of Intelligent Systems and Computational Intelligence. Studies in Computational Intelligence, vol 530. Springer, Cham. https://doi.org/10.1007/978-3-319-03206-1_16

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  • DOI: https://doi.org/10.1007/978-3-319-03206-1_16

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  • Print ISBN: 978-3-319-03205-4

  • Online ISBN: 978-3-319-03206-1

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