# Averaging premises.

Enric Trillas; Elena E. Castiñeira; Susana Cubillo

Mathware and Soft Computing (2001)

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

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topTrillas, 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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