BL-algebras of basic fuzzy logic

BL-algebras [7] rise as Lindenbaum algebras from certain logical axioms familiar in fuzzy logic framework. BL-algebras are studied by means of deductive systems and co-annihilators. Duals of many theorems known to hold in MV-algebra theory remain valid for BL-algebras, too.

Bibliographic Details
Author: Turunen, Esko
Format: article
Publication Date:1999
Country:España
Institution:Universitat Politècnica de Catalunya (UPC)
Repository:UPCommons. Portal del coneixement obert de la UPC
Language:English
OAI Identifier:oai:upcommons.upc.edu:2099/3543
Online Access:https://hdl.handle.net/2099/3543
Access Level:Open access
Keyword:Many-valued logic
Fuzzy logic
MV-algebra
Resituated lattice
Lògica matemàtica
Classificació AMS::03 Mathematical logic and foundations::03B General logic
Description
Summary:BL-algebras [7] rise as Lindenbaum algebras from certain logical axioms familiar in fuzzy logic framework. BL-algebras are studied by means of deductive systems and co-annihilators. Duals of many theorems known to hold in MV-algebra theory remain valid for BL-algebras, too.