Skip to main content

Essay on the History of the Development of Many-Valued Logics and Some Related Topics

  • Chapter
Combining Fuzzy Imprecision with Probabilistic Uncertainty in Decision Making

Part of the book series: Lecture Notes in Economics and Mathematical Systems ((LNE,volume 310))

  • 77 Accesses

Abstract

The paper intends to provide a short history of the development of many-valued logics and some related fields, a topic on which the prosperous theory of fuzzy sets heavily relies. Obviously, such a short survey can only touch a few of the many important results and very much depends on personal taste.

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 84.99
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book
USD 109.99
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

Preview

Unable to display preview. Download preview PDF.

Unable to display preview. Download preview PDF.

Bibliography

  • Ackermann R 1967 Many-valued Logic. Routledge & Kegan, London.

    Google Scholar 

  • Bellman R E, Zadeh L A 1977 Local and fuzzy logics. In: Dunn J M, Epstein G (eds.) Modern Uses of Multiple-valued Logics,pp. 103–165. Reidel, Dordrecht.

    Chapter  Google Scholar 

  • Chang C C, Keisler H J 1966 Continuous Model Theory. Princeton University Press, Princeton.

    Google Scholar 

  • Chang C C, Keisler H J 1973 Model Theory, North-Holland, Amsterdam.

    Google Scholar 

  • Dubois D, Prade H 1980 Fuzzy Sets and Systems: Theory and Applications.Academic Press, New York.

    Google Scholar 

  • Goguen J A 1973 Axioms, Extensions and Applications. IBM R.M. RC 4547.

    Google Scholar 

  • Hájek P, Havránek T 1978 Mechanizing Hypothesis Formation. Springer, Berlin Heidelberg New York.

    Book  Google Scholar 

  • Kandel J 1986 Fuzzy Mathematical Techniques with Applications. Addison-Wesley, Reading, Massachusetts.

    Google Scholar 

  • Keisler H J 1977 Hyperfinite model theory. In: Logic Colloquium 76, pp. 5–110. North-Holland, Amsterdam.

    Google Scholar 

  • Körner S 1966 Experience and Theory. Routledge & Kegan, London.

    Google Scholar 

  • Lukasiewicz J 1920 Ologice trojwartoÅ›ciowej. Ruch Filozoficzny 5,169–171.

    Google Scholar 

  • Rasiowa H 1974 An Algebraic Approach to Non-Classical Logics. North-Holland, Amsterdam.

    Google Scholar 

  • Rescher N 1969 Many-valued Logic. McGraw-Hill, New York.

    Google Scholar 

  • Robinson A 1966 Nonstandard Analysis. North-Holland, Amsterdam.

    Google Scholar 

  • Rosser J B, Turquette A R 1952 Many-valued Logics. North-Holland, Amsterdam.

    Google Scholar 

  • Scott D 1973 Background to formalization. In: Leblanc H (ed.) Truth, Syntax and Modality, pp. 244–273. North-Holland, Amsterdam.

    Chapter  Google Scholar 

  • Skala H J, Termini S, Trillas E (eds.) 1984 Aspects of Vagueness. Reidel, Dordrecht Boston Lancaster.

    Google Scholar 

  • Zadeh L A 1965 Fuzzy sets. Inf. Control 8 pp. 338–353.

    Article  Google Scholar 

Download references

Author information

Authors and Affiliations

Authors

Editor information

Editors and Affiliations

Rights and permissions

Reprints and permissions

Copyright information

© 1988 Springer-Verlag Berlin Heidelberg

About this chapter

Cite this chapter

Skala, H.J. (1988). Essay on the History of the Development of Many-Valued Logics and Some Related Topics. In: Kacprzyk, J., Fedrizzi, M. (eds) Combining Fuzzy Imprecision with Probabilistic Uncertainty in Decision Making. Lecture Notes in Economics and Mathematical Systems, vol 310. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-46644-1_1

Download citation

  • DOI: https://doi.org/10.1007/978-3-642-46644-1_1

  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-50005-6

  • Online ISBN: 978-3-642-46644-1

  • eBook Packages: Springer Book Archive

Publish with us

Policies and ethics