Idempotent operators on a finite chain.

Margalida Mas Grimalt; Joan Torrens; Tomasa Calvo; Marc Carbonell

Mathware and Soft Computing (1999)

  • Volume: 6, Issue: 2-3, page 235-247
  • ISSN: 1134-5632

Abstract

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This work is devoted to find and study some possible idempotent operators on a finite chain L. Specially, all idempotent operators on L which are associative, commutative and non-decreasing in each place are characterized. By adding one smoothness condition, all these operators reduce to special combinations of Minimum and Maximum.

How to cite

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Mas Grimalt, Margalida, et al. "Idempotent operators on a finite chain.." Mathware and Soft Computing 6.2-3 (1999): 235-247. <http://eudml.org/doc/39171>.

@article{MasGrimalt1999,
abstract = {This work is devoted to find and study some possible idempotent operators on a finite chain L. Specially, all idempotent operators on L which are associative, commutative and non-decreasing in each place are characterized. By adding one smoothness condition, all these operators reduce to special combinations of Minimum and Maximum.},
author = {Mas Grimalt, Margalida, Torrens, Joan, Calvo, Tomasa, Carbonell, Marc},
journal = {Mathware and Soft Computing},
keywords = {Norma triangular; Lógica difusa; Operadores lógicos; expert systems},
language = {eng},
number = {2-3},
pages = {235-247},
title = {Idempotent operators on a finite chain.},
url = {http://eudml.org/doc/39171},
volume = {6},
year = {1999},
}

TY - JOUR
AU - Mas Grimalt, Margalida
AU - Torrens, Joan
AU - Calvo, Tomasa
AU - Carbonell, Marc
TI - Idempotent operators on a finite chain.
JO - Mathware and Soft Computing
PY - 1999
VL - 6
IS - 2-3
SP - 235
EP - 247
AB - This work is devoted to find and study some possible idempotent operators on a finite chain L. Specially, all idempotent operators on L which are associative, commutative and non-decreasing in each place are characterized. By adding one smoothness condition, all these operators reduce to special combinations of Minimum and Maximum.
LA - eng
KW - Norma triangular; Lógica difusa; Operadores lógicos; expert systems
UR - http://eudml.org/doc/39171
ER -

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