Averaging premises.

Enric Trillas; Elena E. Castiñeira; Susana Cubillo

Mathware and Soft Computing (2001)

  • Volume: 8, Issue: 2, page 83-91
  • ISSN: 1134-5632

Abstract

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This paper deals with the sets of strict conjectures and consequences of a given collection P of premises. The set of Averaging Functions is introduced on lattices and some properties of these functions are shown. Averaging Functions allow to interpret restricted consequences as averages of premises. The subset of consequences C9*(P) and the subset of conjectures Φg*(P) defined by means of the averaging function g are introduced, and their properties are studied. This sets allow to give decomposition theorems for the restricted consequences and for the strict conjectures.

How to cite

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Trillas, Enric, Castiñeira, Elena E., and Cubillo, Susana. "Averaging premises.." Mathware and Soft Computing 8.2 (2001): 83-91. <http://eudml.org/doc/39214>.

@article{Trillas2001,
abstract = {This paper deals with the sets of strict conjectures and consequences of a given collection P of premises. The set of Averaging Functions is introduced on lattices and some properties of these functions are shown. Averaging Functions allow to interpret restricted consequences as averages of premises. The subset of consequences C9*(P) and the subset of conjectures Φg*(P) defined by means of the averaging function g are introduced, and their properties are studied. This sets allow to give decomposition theorems for the restricted consequences and for the strict conjectures.},
author = {Trillas, Enric, Castiñeira, Elena E., Cubillo, Susana},
journal = {Mathware and Soft Computing},
keywords = {Inteligencia artificial; Grupos reticulados; Lógica multivaluada; orthocomplemented lattice; averaging functions; restricted consequences; strict conjectures},
language = {eng},
number = {2},
pages = {83-91},
title = {Averaging premises.},
url = {http://eudml.org/doc/39214},
volume = {8},
year = {2001},
}

TY - JOUR
AU - Trillas, Enric
AU - Castiñeira, Elena E.
AU - Cubillo, Susana
TI - Averaging premises.
JO - Mathware and Soft Computing
PY - 2001
VL - 8
IS - 2
SP - 83
EP - 91
AB - This paper deals with the sets of strict conjectures and consequences of a given collection P of premises. The set of Averaging Functions is introduced on lattices and some properties of these functions are shown. Averaging Functions allow to interpret restricted consequences as averages of premises. The subset of consequences C9*(P) and the subset of conjectures Φg*(P) defined by means of the averaging function g are introduced, and their properties are studied. This sets allow to give decomposition theorems for the restricted consequences and for the strict conjectures.
LA - eng
KW - Inteligencia artificial; Grupos reticulados; Lógica multivaluada; orthocomplemented lattice; averaging functions; restricted consequences; strict conjectures
UR - http://eudml.org/doc/39214
ER -

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