Skip to main content

Generalized measures and integrals

  • Chapter
Triangular Norms

Part of the book series: Trends in Logic ((TREN,volume 8))

  • 601 Accesses

Abstract

From the many generalizations of the concept of a classical (σ-additive) measure which can be found in the literature we shall present two concepts where t-norms and t-conorms are used explicitly.

Now, additivity is the most important property of ordinary measures. It is, however, doubtful that an individual uses a “measure” with additivity when he subjectively measures fuzziness. Though a reasonable man is imagined in the theory of subjective probabilities, it would be more realistic to assume that an actual man has no additive measure, because his behaviors are often contradictory to the assumption that he uses an additive measure in evaluating things.

Michio Sugeno

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

Access this chapter

Subscribe and save

Springer+ Basic
EUR 32.99 /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
eBook
USD 169.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 219.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book
USD 219.99
Price excludes VAT (USA)
  • Durable hardcover 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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Author information

Authors and Affiliations

Authors

Rights and permissions

Reprints and permissions

Copyright information

© 2000 Springer Science+Business Media Dordrecht

About this chapter

Cite this chapter

Klement, E.P., Mesiar, R., Pap, E. (2000). Generalized measures and integrals. In: Triangular Norms. Trends in Logic, vol 8. Springer, Dordrecht. https://doi.org/10.1007/978-94-015-9540-7_14

Download citation

  • DOI: https://doi.org/10.1007/978-94-015-9540-7_14

  • Publisher Name: Springer, Dordrecht

  • Print ISBN: 978-90-481-5507-1

  • Online ISBN: 978-94-015-9540-7

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics