Skip to main content

Zdzisław Pawlak and Our Journey with Rough Sets

  • Chapter
  • First Online:
Transactions on Rough Sets XXIII

Abstract

The authors trace their journey with rough sets since their first interactions with Z. Pawlak. The article is a narration of how work on rough sets was initiated in India, and how it continues to thrive in research groups connected to the authors and others in the country.

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 99.00
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 129.99
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. Banerjee, M., Chakraborty, M.K.: A category for rough sets. Found. Comput. Decis. Sci. 18(3–4), 167–180 (1993)

    MathSciNet  MATH  Google Scholar 

  2. Chakraborty, M.K., Banerjee, M.: Rough logic with rough quantifiers. Bull. Pol. Acad. Sci. (Math.) 41, 305–315 (1993)

    MathSciNet  MATH  Google Scholar 

  3. Banerjee, M.: A categorial approach to the algebra and logic of the indiscernible. Ph.D. dissertation, University of Calcutta, India (1995)

    Google Scholar 

  4. Banerjee, M., Chakraborty, M.K.: Rough sets through algebraic logic. Fund. Inform. 28(3–4), 211–221 (1996)

    MathSciNet  MATH  Google Scholar 

  5. Banerjee, M., Pal, S.K.: Roughness of a fuzzy set. Inf. Sci. (Inform. Comput. Sci.) 93(3–4), 235–246 (1996)

    MathSciNet  MATH  Google Scholar 

  6. Banerjee, M.: Rough sets and 3-valued Łukasiewicz logic. Fund. Inform. 32(1), 213–220 (1997)

    MATH  Google Scholar 

  7. Chakraborty, M.K., Orłowska, E.: Substitutivity principles in some theories of uncertainty. Fund. Inform. 32, 107–120 (1997)

    MathSciNet  MATH  Google Scholar 

  8. Sen, J., Chakraborty, M.K.: A study of interconnections between rough, 3-valued and linear logics. Fund. Inform. 51, 311–324 (2002)

    MathSciNet  MATH  Google Scholar 

  9. Banerjee, M., Chakraborty, M.K.: Algebras from rough sets. In: Pal, S.K., Polkowski, L., Skowron, A. (eds.) Rough-Neuro Computing: Techniques for Computing with Words. COGTECH, pp. 157–184. Springer, Heidelberg (2004). https://doi.org/10.1007/978-3-642-18859-6_7

    Chapter  Google Scholar 

  10. Banerjee, M.: Logic for rough truth. Fund. Inform. 71(2–3), 139–151 (2006)

    MathSciNet  MATH  Google Scholar 

  11. Chakraborty, M.K.: Pawlak’s landscaping with rough sets. In: Peters, J.F., Skowron, A., Düntsch, I., Grzymała-Busse, J., Orłowska, E., Polkowski, L. (eds.) Transactions on Rough Sets VI. LNCS, vol. 4374, pp. 51–63. Springer, Heidelberg (2007). https://doi.org/10.1007/978-3-540-71200-8_4

    Chapter  Google Scholar 

  12. Banerjee, M., Yao, Y.: A categorial basis for granular computing. In: An, A., Stefanowski, J., Ramanna, S., Butz, C.J., Pedrycz, W., Wang, G. (eds.) RSFDGrC 2007. LNCS (LNAI), vol. 4482, pp. 427–434. Springer, Heidelberg (2007). https://doi.org/10.1007/978-3-540-72530-5_51

    Chapter  Google Scholar 

  13. Banerjee, M., Mitra, S., Banka, H.: Evolutionary-rough feature selection in gene expression data. IEEE Trans. Syst. Man Cybern. Part C Appl. Rev. 37(4), 622–631 (2007)

    Article  Google Scholar 

  14. Bunder, M.W., Banerjee, M., Chakraborty, M.K.: Some rough consequence logics and their interrelations. In: Peters, J.F., Skowron, A. (eds.) Transactions on Rough Sets VIII. LNCS, vol. 5084, pp. 1–20. Springer, Heidelberg (2008). https://doi.org/10.1007/978-3-540-85064-9_1

    Chapter  Google Scholar 

  15. Pagliani, P., Chakraborty, M.K.: A Geometry of Approximation. Rough Set Theory: Logic, Algebra and Topology of Conceptual Patterns. Trends in Logic, Springer, Dordrecht (2008). https://doi.org/10.1007/978-1-4020-8622-9

    Book  MATH  Google Scholar 

  16. Khan, M.A., Banerjee, M.: A logic for multiple-source approximation systems with distributed knowledge base. J. Philos. Log. 40(5), 663–692 (2011). https://doi.org/10.1007/s10992-010-9163-1

    Article  MathSciNet  MATH  Google Scholar 

  17. Samanta, P., Chakraborty, M.K.: Generalized rough sets and implication lattices. In: Peters, J.F., et al. (eds.) Transactions on Rough Sets XIV. LNCS, vol. 6600, pp. 183–201. Springer, Heidelberg (2011). https://doi.org/10.1007/978-3-642-21563-6_10

    Chapter  MATH  Google Scholar 

  18. Chakraborty, M.K., Banerjee, M.: Rough sets: some foundational issues. Fund. Inform. 127(1–4), 1–15 (2013)

    MathSciNet  MATH  Google Scholar 

  19. Khan, M.A., Banerjee, M.: Algebras for information systems. In: Skowron, A., Suraj, Z. (eds.) Rough Sets and Intelligent Systems - Professor Zdzisław Pawlak in Memoriam. ISRL, vol. 42, pp. 381–407. Springer, Heidelberg (2013). https://doi.org/10.1007/978-3-642-30344-9_14

    Chapter  Google Scholar 

  20. Chakraborty, M.K.: Membership function based rough set. Int. J. Approximate Reasoning 55(1), 402–411 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  21. Banerjee, M., Dubois, D.: A simple logic for reasoning about incomplete knowledge. Int. J. Approximate Reasoning 55(2), 639–653 (2014)

    Article  MathSciNet  MATH  Google Scholar 

  22. Khan, M.A., Banerjee, M.: Logics for some dynamic spaces - parts I and II. J. Log. Comput. 25(3), 827–878 (2015)

    Article  MATH  Google Scholar 

  23. Banerjee, M., Ju, S., Khan, M.A., Tang, L.: Open world models: a view from rough set theory. In: Chakraborty, M.K., Skowron, A., Maiti, M., Kar, S. (eds.) Facets of Uncertainties and Applications. SPMS, vol. 125, pp. 77–86. Springer, New Delhi (2015). https://doi.org/10.1007/978-81-322-2301-6_6

    Chapter  Google Scholar 

  24. Chakraborty, M.K.: On some issues in the foundation of rough sets: the problem of definition. Fund. Inform. 148(1–2), 123–132 (2016)

    MathSciNet  MATH  Google Scholar 

  25. Saha, A., Sen, J., Chakraborty, M.K.: Algebraic structures in the vicinity of pre-rough algebra and their logics II. Inf. Sci. 333, 44–60 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  26. Ma, M., Chakraborty, M.K.: Covering-based rough sets and modal logics, part I. Int. J. Approximate Reasoning 77, 55–65 (2016)

    Article  MathSciNet  MATH  Google Scholar 

  27. More, A.K., Banerjee, M.: Categories and algebras of rough sets: new facets. Fund. Inform. 148(1–2), 173–190 (2016)

    MathSciNet  MATH  Google Scholar 

  28. Kumar, A., Banerjee, M.: Kleene algebras and logic: Boolean and rough set representations, 3-valued, rough set and perp semantics. Stud. Logica. 105(3), 439–469 (2017). https://doi.org/10.1007/s11225-016-9696-6

    Article  MathSciNet  MATH  Google Scholar 

  29. More, A.K., Banerjee, M.: Transformation semigroups for rough sets. In: Nguyen, H.S., Ha, Q.-T., Li, T., Przybyła-Kasperek, M. (eds.) IJCRS 2018. LNCS (LNAI), vol. 11103, pp. 584–598. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-99368-3_46

    Chapter  Google Scholar 

  30. Panicker, G., Banerjee, M.: Rough sets and the algebra of conditional logic. In: Mihálydeák, T., et al. (eds.) IJCRS 2019. LNCS (LNAI), vol. 11499, pp. 28–39. Springer, Cham (2019). https://doi.org/10.1007/978-3-030-22815-6_3

    Chapter  Google Scholar 

  31. Lin, Z., Chakraborty, M.K., Ma, M.: Residuated algebraic structures in the vicinity of pre-rough algebra and decidability. Fund. Inform. 179(3), 239–274 (2021)

    MathSciNet  MATH  Google Scholar 

  32. Patel, V.S., Khan, M.A., Chakraborty, M.K.: Modal systems for covering semantics and boundary operator. Int. J. Approximate Reasoning 135, 110–126 (2021)

    Article  MathSciNet  MATH  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Corresponding author

Correspondence to Mohua Banerjee .

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 2022 Springer-Verlag GmbH Germany, part of Springer Nature

About this chapter

Check for updates. Verify currency and authenticity via CrossMark

Cite this chapter

Banerjee, M., Chakraborty, M.K. (2022). Zdzisław Pawlak and Our Journey with Rough Sets. In: Peters, J.F., Skowron, A., Bhaumik, R.N., Ramanna, S. (eds) Transactions on Rough Sets XXIII. Lecture Notes in Computer Science(), vol 13610. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-662-66544-2_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-662-66544-2_1

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-662-66543-5

  • Online ISBN: 978-3-662-66544-2

  • eBook Packages: Computer ScienceComputer Science (R0)

Publish with us

Policies and ethics