Skip to main content
Springer Nature Link
Log in

New Linguistic Hedges in Construction of Interval Type-2 FLS

  • Conference paper
Artifical Intelligence and Soft Computing (ICAISC 2010)

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 6114))

Included in the following conference series:

  • 2025 Accesses

Abstract

The paper presents a methodology for application of an interval type-2 codebook to computing with words. The crucial problem in this task is to formulate new hedge operators for fuzzy sets. The proposed hybrid system is demonstrated in a numerical example.

This work was partly supported by Polish Ministry of Science and Higher Education (Habilitation Project N N516 372234 2008–2011).

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

Access this chapter

Log in via an institution

Subscribe and save

Springer+ Basic
$34.99 /Month
  • Get 10 units per month
  • Download Article/Chapter or eBook
  • 1 Unit = 1 Article or 1 Chapter
  • Cancel anytime
Subscribe now

Buy Now

Chapter
USD 29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever

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.

Similar content being viewed by others

References

  1. Zadeh, L.: The concept of a linguistic variable and its application to approximate reasoning — I. Information Sciences 8, 199–249 (1975)

    Article  MathSciNet  Google Scholar 

  2. Mendel, J.: Computing with words, when words can mean different things to different people. In: Proceedings of the International ICSC Congress on Computational Intelligence Methods and Applications (1999)

    Google Scholar 

  3. Kacprzyk, J., Wilbik, A., Zadrozny, S.: Linguistic summaries of time series via a quantifier based aggregation using the sugeno integral. In: Proc. IEEE-FUZZ 2006, Vancouver, BC, pp. 3610–3616 (2006)

    Google Scholar 

  4. Kacprzyk, J., Yager, R.: Linguistic summaries of data using fuzzy logic. International Journal of General Systems 30, 33–154 (2001)

    Article  MathSciNet  Google Scholar 

  5. Kacprzyk, J., Yager, R., Zadrozny, S.: A fuzzy logic based approach to linguistic summaries of databases. International Journal of Applied Mathematics and Computer Science 10, 813–834 (2000)

    MATH  Google Scholar 

  6. Kacprzyk, J., Zadrozny, S.: Linguistic database summaries and their protoforms: toward natural language based knowledge discovery tools. Information Sciences 173, 281–304 (2005)

    Article  MathSciNet  Google Scholar 

  7. Liu, F., Mendel, J.: Encoding words into interval type-2 fuzzy sets using an interval approach. IEEE Transactions on Fuzzy Systems 16(6), 1503–1521 (2008)

    Article  Google Scholar 

  8. Lawry, J.: An alternative to compuing with words. Int. J. of Uncertainty, Fuzziness and Knowledge-Based Systems 9, 3–16 (2001)

    Article  MATH  MathSciNet  Google Scholar 

  9. Mendel, J.: Computing with words and its relationships with fuzzistics. Information Sciences 177(4), 988–1006 (2007)

    Article  MathSciNet  Google Scholar 

  10. Mendel, J.: Computing with words: Zadeh, turing, popper and occam. IEEE Computational Intelligence Magazine 2, 10–17 (2007)

    Article  Google Scholar 

  11. Niewiadomski, A.: A type-2 fuzzy approach to linguistic summarization of data. Transactions on Fuzzy Systems 16(1) (2008)

    Google Scholar 

  12. Türksen, I., Resconi, G.: Fuzzy truthoods based on an additive semantic measure with break of global symmetry in modal logic. International Journal of Fuzzy Systems 8(1), 14–38 (2006)

    MathSciNet  Google Scholar 

  13. Wang, P. (ed.): Computing With Words. John Wiley & Sons, Inc., New York (2001)

    Google Scholar 

  14. Wu, D., Mendel, J.: Aggregation using the linguistic weighted average and interval type-2 fuzzy sets. IEEE Transactions on Fuzzy Systems 15(6), 1145–1161 (2007)

    Article  Google Scholar 

  15. Zadeh, L.: From computing with numbers to computing with words from manipulation of measurements to manipulation of perceptions. IEEE Trans. Circuits Syst. I: Fundam. Theory Appl. 4, 105–119 (1999)

    Article  MathSciNet  Google Scholar 

  16. Zadeh, L.: Fuzzy logic = computing with words. IEEE Transactions on Fuzzy Systems 4, 103–111 (1996)

    Article  Google Scholar 

  17. Gorzalczany, M.: A method of inference in approximate reasoning based on interval-valued fuzzy sets. Fuzzy Sets and Systems 21, 1–17 (1987)

    Article  MATH  MathSciNet  Google Scholar 

  18. Bustince, H.: Indicator of inclusion grade for interval-valued fuzzy sets. application to approximate reasoning based on interval-valued fuzzy sets. International Journal of Approximate Reasoning 23(3), 137–209 (2000)

    Article  MATH  MathSciNet  Google Scholar 

  19. Mitchell, H.: Pattern recognition using type-ii fuzzy sets. Information Sciences 170, 409–418 (2005)

    Article  Google Scholar 

  20. Wu, D., Mendel, J.M.: A vector similarity measure for linguistic approximation: Interval type-2 and type-1 fuzzy sets. Information Sciences 178, 381–402 (2008)

    Article  MATH  MathSciNet  Google Scholar 

  21. Chiu, S.: Fuzzy model identification based on cluster estimation. J. Intell. Fuzzy Systems 2(3), 267–278 (1994)

    Google Scholar 

  22. Tao, C.W.: Unsupervised fuzzy clustering with multi-center clusters. Fuzzy Sets and Systems (128), 305–322 (2002)

    Google Scholar 

  23. Dziwiński, P., Rutkowska, D.: Algorithm for generating fuzzy rules for WWW document classification. In: Rutkowski, L., Tadeusiewicz, R., Zadeh, L.A., Żurada, J.M. (eds.) ICAISC 2006. LNCS (LNAI), vol. 4029, pp. 1111–1119. Springer, Heidelberg (2006)

    Chapter  Google Scholar 

  24. Dziwiński, P., Rutkowska, D.: Hybrid algorithm for constructing DR-FIS to classification WWW documents. In: Some New Ideas and Research Results in Computer Science, pp. 105–120. Academic Publishing House EXIT, Warszawa (2006)

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Institute of Information Technology, Academy of Management (SWSPiZ), ul. Sienkiewicza 9, 90-113, Łódź, Poland

    Janusz T. Starczewski

  2. Department of Computer Engineering, Czestochowa University of Technology, Al. Armii Krajowej 36, 42-200, Czestochowa, Poland

    Piotr Dziwiński, Janusz T. Starczewski & Łukasz Bartczuk

Authors
  1. Piotr Dziwiński
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. Janusz T. Starczewski
    View author publications

    You can also search for this author in PubMed Google Scholar

  3. Łukasz Bartczuk
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Department of Artificial Intelligence, Academy of Humanities and Economics, Poland

    Leszek Rutkowski

  2. Academy of Humanities and Economics in Łódź, ul. Rewolucji 1905 nr 64, Łódź, Poland

    Rafał Scherer

  3. Institute of Automatics, AGH University of Science and Technology, Al. Mickiewicza 30, PL-30-059, Kraków, Poland

    Ryszard Tadeusiewicz

  4. Department of Electrical Engineering and Computer Sciences, University of California, Berkeley, Berkeley Initiative in Soft Computing (BISC), 94720-1776, CA

    Lotfi A. Zadeh

  5. Computational Intelligence Laboratory Department of Electrical and Computer Engineering, University of Louisville, 40292, Louisville, KY

    Jacek M. Zurada

Rights and permissions

Reprints and permissions

Copyright information

© 2010 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Dziwiński, P., Starczewski, J.T., Bartczuk, Ł. (2010). New Linguistic Hedges in Construction of Interval Type-2 FLS. In: Rutkowski, L., Scherer, R., Tadeusiewicz, R., Zadeh, L.A., Zurada, J.M. (eds) Artifical Intelligence and Soft Computing. ICAISC 2010. Lecture Notes in Computer Science(), vol 6114. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-13232-2_54

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-13232-2_54

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-642-13231-5

  • Online ISBN: 978-3-642-13232-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics