Skip to main content

Part of the book series: Lecture Notes in Networks and Systems ((LNNS,volume 531))

Abstract

Intuitionistic Fuzzy Sets extend the classical notion of Fuzzy Sets, so as to represent “hesitation”: indeed, an item has both a membership degree and a non-membership degree, whose sum could be less than 1; the difference denotes the “hesitation” about the fact that the item belongs or not to the fuzzy set. Similarly, Intuitionistic Fuzzy Relations involve two domains.

Supposing that Intuitionistic Fuzzy Sets and Relations are provided as JSON data sets, is there a stand-alone tool to process them? This paper studies if the constructs currently provided by J-CO-QL\(^+\) (the query language of the J-CO Framework) for managing fuzzy sets can actually deal with Intuitionistic Fuzzy Sets and Relations. The results will suggest how to extend J-CO-QL\(^+\) to deal with classical and Intuitionistic Fuzzy Sets in an integrated way.

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

Notes

  1. 1.

    Github repository: https://github.com/JcoProjectTeam/JcoProjectPage.

References

  1. Atanassov, K.: Intuitionistic fuzzy sets. Fuzzy Sets Syst. 20, 187–96 (1986)

    Article  Google Scholar 

  2. Atanassov, K.: Intuitionistic fuzzy sets. Bioautomation 20, 1 (2016)

    MathSciNet  MATH  Google Scholar 

  3. Biswas, R.: Intuitionistic fuzzy relations. Bull. Sous. Ens. Flous. Appl. (BUSEFAL) 70, 22–29 (1997)

    Google Scholar 

  4. Bordogna, G., Ciriello, D.E., Psaila, G.: A flexible framework to cross-analyze heterogeneous multi-source geo-referenced information: The J-CO-QL proposal and its implementation. In: Proceedings of the International Conference on Web Intelligence, pp. 499–508 (2017)

    Google Scholar 

  5. Bordogna, G., Cuzzocrea, A., Frigerio, L., Psaila, G., Toccu, M.: An interoperable open data framework for discovering popular tours based on geo-tagged tweets. Intell. Inf. Database Syst. 10(3–4), 246–268 (2017)

    Google Scholar 

  6. Bordogna, G., Psaila, G.: Soft aggregation in flexible databases querying based on the vector p-norm. Uncerta. Fuzzi. Knowl. Based Syst. 17(01), 25–40 (2009)

    Article  Google Scholar 

  7. Bray, T.: The JavaScript object notation (JSON) data interchange format (2014). https://www.rfc-editor.org/rfc/rfc7159.txt

  8. De, S.K., Biswas, R., Roy, A.R.: An application of intuitionistic fuzzy sets in medical diagnosis. Fuzzy Sets Syst. 117(2), 209–213 (2001)

    Article  Google Scholar 

  9. Dubois, D., Prade, H.: Possibility theory and its applications: where do we stand. Mathw. Comput. 18(1), 18–31 (2011)

    Google Scholar 

  10. Florescu, D., Fourny, G.: JSONiq: the history of a query language. IEEE Internet Comput. 17(5), 86–90 (2013)

    Article  Google Scholar 

  11. Fosci, P., Marrara, S., Psaila, G.: Soft querying GeoJSON documents within the J-CO framework. In: 16th International Conference on Web Information Systems and Technologies (WEBIST 2020), pp. 253–265 (2020)

    Google Scholar 

  12. Fosci, P., Psaila, G.: Powering soft querying in J-CO-QL with JavaScript functions. In: Sanjurjo González, H., Pastor López, I., García Bringas, P., Quintián, H., Corchado, E. (eds.) SOCO 2021. AISC, vol. 1401, pp. 207–221. Springer, Cham (2022). https://doi.org/10.1007/978-3-030-87869-6_20

    Chapter  Google Scholar 

  13. Fosci, P., Psaila, G.: Towards flexible retrieval, integration and analysis of JSON data sets through fuzzy sets: a case study. Information 12(7), 258 (2021)

    Article  Google Scholar 

  14. Psaila, G., Fosci, P.: J-CO: a platform-independent framework for managing geo-referenced JSON data sets. Electronics 10(5), 621 (2021)

    Article  Google Scholar 

  15. Szmidt, E., Kacprzyk, J.: Intuitionistic fuzzy sets in some medical applications. In: Reusch, B. (ed.) Fuzzy Days 2001. LNCS, vol. 2206, pp. 148–151. Springer, Heidelberg (2001). https://doi.org/10.1007/3-540-45493-4_19

    Chapter  MATH  Google Scholar 

  16. Zadeh, L.A.: Fuzzy sets. Inf. control 8(3), 338–353 (1965)

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Giuseppe Psaila .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2023 The Author(s), under exclusive license to Springer Nature Switzerland AG

About this paper

Check for updates. Verify currency and authenticity via CrossMark

Cite this paper

Fosci, P., Psaila, G. (2023). Intuitionistic Fuzzy Sets in J-CO-QL\(^+\)?. In: García Bringas, P., et al. 17th International Conference on Soft Computing Models in Industrial and Environmental Applications (SOCO 2022). SOCO 2022. Lecture Notes in Networks and Systems, vol 531. Springer, Cham. https://doi.org/10.1007/978-3-031-18050-7_13

Download citation

Publish with us

Policies and ethics