Top

Published in:

2019 | OriginalPaper | Chapter

Concept Approximation Based on Rough Sets and Judgment

Authors : Jaroslaw Stepaniuk, Grzegorz Góra, Andrzej Skowron

Published in: Rough Sets

Publisher: Springer International Publishing

Activate our intelligent search to find suitable subject content or patents.

search-config

AI-assisted search

Off

Abstract

We discuss an approach of concept approximation based on judgment rather than on partial containment of sets only. This approach seems to be much more general than the traditional one. However, it requires developing some new logical tools for reasoning based on judgment, which is often expressed in natural language.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Online-Abonnement

Mit Springer Professional "Wirtschaft+Technik" erhalten Sie Zugriff auf:

über 102.000 Bücher
über 537 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Finance + Banking
Management + Führung
Marketing + Vertrieb
Maschinenbau + Werkstoffe
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Technik"

Online-Abonnement

Mit Springer Professional "Technik" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 390 Zeitschriften

aus folgenden Fachgebieten:

Automobil + Motoren
Bauwesen + Immobilien
Business IT + Informatik
Elektrotechnik + Elektronik
Energie + Nachhaltigkeit
Maschinenbau + Werkstoffe

Jetzt Wissensvorsprung sichern!

inform now

Springer Professional "Wirtschaft"

Online-Abonnement

Mit Springer Professional "Wirtschaft" erhalten Sie Zugriff auf:

über 67.000 Bücher
über 340 Zeitschriften

aus folgenden Fachgebieten:

Bauwesen + Immobilien
Business IT + Informatik
Finance + Banking
Management + Führung
Marketing + Vertrieb
Versicherung + Risiko

Jetzt Wissensvorsprung sichern!

inform now

previous chapter An Application of Bayesian Confirmation Theory for Three-Way Decision

next chapter Rough Sets and the Algebra of Conditional Logic

The 2011 winner of the ACM Turing Award, the highest distinction in computer science, “for his fundamental contributions to the development of computational learning theory and to the broader theory of computer science” (http://people.seas.harvard.edu/~valiant/researchinterests.htm).

More general cases are considered, e.g., in articles [11, 12].

Skowron, A., Stepaniuk, J.: Tolerance approximation spaces. Fundam. Inform. 27(2–3), 245–253 (1996). https://doi.org/10.3233/FI-1996-272311MathSciNetCrossRefMATH

Skowron, A., Jankowski, A., Swiniarski, R.W.: Foundations of rough sets, pp. 331–348. [3]CrossRef

Kacprzyk, J., Pedrycz, W. (eds.): Springer Handbook of Computational Intelligence. Springer, Heidelberg (2015). https://doi.org/10.1007/978-3-662-43505-2CrossRefMATH

Napierala, K., Stefanowski, J.: Types of minority class examples and their influence on learning classifiers from imbalanced data. J. Intell. Inf. Syst. 46, 563–597 (2016). https://doi.org/10.1007/s10844-015-0368-1CrossRef

Paula Branco, L.T., Ribeiro, R.P.: A survey of predictive modeling on imbalanced domains. ACM Comput. Surv. 49, 1–50 (2016). https://doi.org/10.1145/2907070CrossRef

He, H., Ma, Y. (eds.): Imbalanced Learning: Foundations, Algorithms, and Applications. Wiley, Hoboken (2013)MATH

Zadeh, L.A.: From computing with numbers to computing with words - from manipulation of measurements to manipulation of perceptions. IEEE Trans. Circ. Syst. 45, 105–119 (1999)MathSciNetCrossRef

Pearl, J.: Causal inference in statistics: an overview. Stat. Surv. 3, 96–146 (2009). https://doi.org/10.1214/09-SS057MathSciNetCrossRefMATH

Skowron, A., Dutta, S.: Rough sets: past, present, and future. Nat. Comput. 17, 855–876 (2018). https://doi.org/10.1007/s11047-018-9700-3MathSciNetCrossRef

10.

Martin, W.M. (ed.): Theories of Judgment. Psychology, Logic, Phenomenology. Cambridge University Press, New York (2006). https://doi.org/10.1017/CBO9780511487613CrossRef

11.

Skowron, A., Stepaniuk, J.: Approximation spaces in rough-granular computing. Fundam. Inform. 100, 141–157 (2010). https://doi.org/10.3233/FI-2010-267MathSciNetCrossRefMATH

12.

Skowron, A., Stepaniuk, J., Swiniarski, R.: Modeling rough granular computing based on approximation spaces. Inf. Sci. 184, 20–43 (2012). https://doi.org/10.1016/j.ins.2011.08.001CrossRefMATH

13.

Borowska, K., Stepaniuk, J.: Granular computing and parameters tuning in imbalanced data preprocessing. In: Saeed, K., Homenda, W. (eds.) CISIM 2018. LNCS, vol. 11127, pp. 233–245. Springer, Cham (2018). https://doi.org/10.1007/978-3-319-99954-8_20CrossRef

14.

Skowron, A., Jankowski, A.: Interactive computations: toward risk management in interactive intelligent systems. Nat. Comput. 15(3), 465–476 (2016). https://doi.org/10.1007/s11047-015-9486-5MathSciNetCrossRef

Title: Concept Approximation Based on Rough Sets and Judgment
Authors: Jaroslaw Stepaniuk
Grzegorz Góra
Andrzej Skowron
Publisher: Springer International Publishing
Book: Rough Sets
Print ISBN: 978-3-030-22814-9

Electronic ISBN: 978-3-030-22815-6

Copyright Year: 2019
DOI: https://doi.org/10.1007/978-3-030-22815-6_2

Springer Professional

Abstract

Please log in to get access to your license.

Dont have a licence yet? Then find out more about our products and how to get one now:

Springer Professional "Wirtschaft+Technik"

Springer Professional "Technik"

Springer Professional "Wirtschaft"

Premium Partner