Residual implications and co-implications from idempotent uninorms

Daniel Ruiz; Joan Torrens

Kybernetika (2004)

  • Volume: 40, Issue: 1, page [21]-38
  • ISSN: 0023-5954

Abstract

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This paper is devoted to the study of implication (and co-implication) functions defined from idempotent uninorms. The expression of these implications, a list of their properties, as well as some particular cases are studied. It is also characterized when these implications satisfy some additional properties specially interesting in the framework of implication functions, like contrapositive symmetry and the exchange principle.

How to cite

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Ruiz, Daniel, and Torrens, Joan. "Residual implications and co-implications from idempotent uninorms." Kybernetika 40.1 (2004): [21]-38. <http://eudml.org/doc/33683>.

@article{Ruiz2004,
abstract = {This paper is devoted to the study of implication (and co-implication) functions defined from idempotent uninorms. The expression of these implications, a list of their properties, as well as some particular cases are studied. It is also characterized when these implications satisfy some additional properties specially interesting in the framework of implication functions, like contrapositive symmetry and the exchange principle.},
author = {Ruiz, Daniel, Torrens, Joan},
journal = {Kybernetika},
keywords = {t-norm; T-conorm; idempotent uninorm; aggregation; implication function; -norm; -conorm; idempotent uninorm; aggregation; implication function},
language = {eng},
number = {1},
pages = {[21]-38},
publisher = {Institute of Information Theory and Automation AS CR},
title = {Residual implications and co-implications from idempotent uninorms},
url = {http://eudml.org/doc/33683},
volume = {40},
year = {2004},
}

TY - JOUR
AU - Ruiz, Daniel
AU - Torrens, Joan
TI - Residual implications and co-implications from idempotent uninorms
JO - Kybernetika
PY - 2004
PB - Institute of Information Theory and Automation AS CR
VL - 40
IS - 1
SP - [21]
EP - 38
AB - This paper is devoted to the study of implication (and co-implication) functions defined from idempotent uninorms. The expression of these implications, a list of their properties, as well as some particular cases are studied. It is also characterized when these implications satisfy some additional properties specially interesting in the framework of implication functions, like contrapositive symmetry and the exchange principle.
LA - eng
KW - t-norm; T-conorm; idempotent uninorm; aggregation; implication function; -norm; -conorm; idempotent uninorm; aggregation; implication function
UR - http://eudml.org/doc/33683
ER -

References

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Citations in EuDML Documents

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  1. Daniel Ruiz-Aguilera, Joan Torrens, Distributivity of strong implications over conjunctive and disjunctive uninorms
  2. Koen C. Maes, Bernard De Baets, A contour view on uninorm properties
  3. Yong Su, Zhudeng Wang, Keming Tang, Left and right semi-uninorms on a complete lattice
  4. Ying Li-Jun, Qin Feng, Migrativity properties of 2-uninorms over semi-t-operators
  5. Feng Qin, Cauchy-like functional equation based on a class of uninorms
  6. Gang Li, On a special class of left-continuous uninorms

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