Skip to main content
SpringerLink
Log in
Book cover

International Conference on Rough Sets and Current Trends in Computing

RSCTC 1998: Rough Sets and Current Trends in Computing pp 45–51Cite as

Well-Behaviored Operations for Approximate Sets

  • Conference paper
  • First Online:

  • 731 Accesses

Part of the book series: Lecture Notes in Computer Science ((LNAI,volume 1424))

Abstract

The prime ingredients of the operations of the human cognitive mind are descriptions. Descriptions may be approximate in the sense that imprecision may not allow the construction of a set from a word description. In a previous paper this type of imprecision was introduced with the name of approximate sets. The operations on approximate sets defined there were as precise as possible, but they had some difficulties, one of them being that the union operation defined was not associative. It was foreseen that precision in the operations might be traded for operational convenience. In this paper such a possibility is investigated, less precise operations are offered, and their convenience is studied.

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

Chapter
USD   29.95
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
eBook
USD   39.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD   54.99
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

Learn about institutional subscriptions

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

References

  1. Ebbinghaus, H-D., Flum, J.: Finite Model Theory. Springer-Verlag, Berlin Heidelberg New York (1995)

    MATH  Google Scholar 

  2. Miró, J., Miro-Julia, J.: Uncertainty and Inference Through Approximate Sets. In: Bouchon-Meunier, B., Valverde, L., Yager, R.R. (eds.): Uncertainty in Intelligent Systems. North-Holland, Amsterdam London New York Tokyo (1993) 203–214

    Google Scholar 

  3. Yao, Y.Y., Noroozi, N. A Unified Framework for Set-Based Computations. In: Lin, T.Y. (Ed.): Proceedings of the 3rd International Workshop on Rough Sets and Soft Computing, San Jose, California, (1994) 236–243.

    Google Scholar 

Download references

Author information

Authors and Affiliations

  1. Departament de Matemàtiques i Informàtica, Universitat de les Illes Balears, Campus UIB, 07071, Palma de Mallorca, Spain

    Jose Miro-Julia & José Miró

Authors
  1. Jose Miro-Julia
    View author publications

    You can also search for this author in PubMed Google Scholar

  2. José Miró
    View author publications

    You can also search for this author in PubMed Google Scholar

Editor information

Editors and Affiliations

  1. Institute of Mathematics, Warsaw University of Technology, Pl. Politechniki 1, 00-665, Warszawa, Poland

    Lech Polkowski

  2. Institute of Mathematics, Warsaw University, Banacha 2, 02-097, Warszawa, Poland

    Andrzej Skowron

Rights and permissions

Reprints and permissions

Copyright information

© 1998 Springer-Verlag Berlin Heidelberg

About this paper

Cite this paper

Miro-Julia, J., Miró, J. (1998). Well-Behaviored Operations for Approximate Sets. In: Polkowski, L., Skowron, A. (eds) Rough Sets and Current Trends in Computing. RSCTC 1998. Lecture Notes in Computer Science(), vol 1424. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-69115-4_7

Download citation

  • DOI: https://doi.org/10.1007/3-540-69115-4_7

  • Published:

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-64655-6

  • Online ISBN: 978-3-540-69115-0

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics

Search

Navigation