Skip to main content
SpringerLink
Log in

Basic fuzzy logic and BL-algebras

  • Original paper
  • Published:
Soft Computing Aims and scope Submit manuscript

Abstract

 The many-valued propositional logic BL (basic fuzzy logic) is investigated. It is known to be complete for tautologies over BL-algebras (particular residuated lattices). Each continuous t-norm on [0,1] determines a BL-algebra; such algebras are called t-algebras. Two additional axioms B1, B2 are found such that BL+(B1,B2) is complete for tautologies over t-algebras. It remains open whether B1, B2 are provable in BL.

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

Access this article

Log in via an institution

Price excludes VAT (USA)
Tax calculation will be finalised during checkout.

Instant access to the full article PDF.

Institutional subscriptions

Similar content being viewed by others

Author information

Authors and Affiliations

  1. Institute of Computer Science, Academy of Sciences 182 07 Prague, Czech Republic, , , , ,

    P. Hájek

Authors
  1. P. Hájek
    View author publications

    You can also search for this author in PubMed Google Scholar

Rights and permissions

Reprints and permissions

About this article

Cite this article

Hájek, P. Basic fuzzy logic and BL-algebras. Soft Computing 2, 124–128 (1998). https://doi.org/10.1007/s005000050043

Download citation

  • Issue Date:

  • DOI: https://doi.org/10.1007/s005000050043

Keywords

Search

Navigation