BL-algebras of basic fuzzy logic.

Esko Turunen

Mathware and Soft Computing (1999)

  • Volume: 6, Issue: 1, page 49-61
  • ISSN: 1134-5632

Abstract

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BL-algebras [Hajek] 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.

How to cite

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Turunen, Esko. "BL-algebras of basic fuzzy logic.." Mathware and Soft Computing 6.1 (1999): 49-61. <http://eudml.org/doc/39141>.

@article{Turunen1999,
abstract = {BL-algebras [Hajek] 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.},
author = {Turunen, Esko},
journal = {Mathware and Soft Computing},
keywords = {Lógica difusa; Conjuntos difusos; Anillos reticulados; basic logic; fuzzy logic; BL-algebras; filters; deductive systems; quotients; MV-algebras; coannihilators},
language = {eng},
number = {1},
pages = {49-61},
title = {BL-algebras of basic fuzzy logic.},
url = {http://eudml.org/doc/39141},
volume = {6},
year = {1999},
}

TY - JOUR
AU - Turunen, Esko
TI - BL-algebras of basic fuzzy logic.
JO - Mathware and Soft Computing
PY - 1999
VL - 6
IS - 1
SP - 49
EP - 61
AB - BL-algebras [Hajek] 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.
LA - eng
KW - Lógica difusa; Conjuntos difusos; Anillos reticulados; basic logic; fuzzy logic; BL-algebras; filters; deductive systems; quotients; MV-algebras; coannihilators
UR - http://eudml.org/doc/39141
ER -

Citations in EuDML Documents

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  1. Laurenťiu Leuštean, The prime and maximal spectra and the reticulation of BL-algebras
  2. Mahdeieh Abbasloo, Arsham Borumand Saeid, bi-BL-algebra
  3. Rajab Ali Borzooei, Akbar Paad, Fuzzy n-fold integral filters in BL-algebras
  4. Biao Long Meng, Xiao Long Xin, Generalized co-annihilator of BL-algebras
  5. Yu Xi Zou, Xiao Long Xin, Peng Fei He, On annihilators in BL-algebras
  6. Dumitru Buşneag, Sergiu Rudeanu, A glimpse of deductive systems in algebra
  7. Thomas Vetterlein, BL-algebras and quantum structures

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