On the characterization of self-dual aggregation operators

Koen C. Maes; Susanne Saminger; Bernard De Baets

On the characterization of self-dual aggregation operators

Koen C. Maes
, Susanne Saminger
, Bernard De Baets

Institut für Mathematische Methoden in Medizin und Datenbasierter Modellierung

Publikation: Beitrag in Buch/Bericht/Konferenzband › Konferenzbeitrag › Begutachtung

Abstract

Two different characterizations of self-dual aggregation operators are available in the literature: one based on C(x,y)=x/(x+1-y) and one based on the arithmetic mean. In this contribution, we fit the existing approaches into a more general framework and characterize N-invariant aggregation operators, with N an involutive negator. Special attention is drawn to the equivalence classes that arise during the construction process.

Originalsprache	Englisch
Titel	Proceedings of Joint 4th Int. Conf. in Fuzzy Logic and Technology and 11th French Days on Fuzzy Logic and Applications, Barcelona (Spain)
Seiten	159-164
Seitenumfang	6
Publikationsstatus	Veröffentlicht - 2005

Publikationsreihe

Name	Proceedings - 4th Conference of the European Society for Fuzzy Logic and Technology and 11th French Days on Fuzzy Logic and Applications, EUSFLAT-LFA 2005 Joint Conference

Wissenschaftszweige

101 Mathematik
101004 Biomathematik
101027 Dynamische Systeme
101013 Mathematische Logik
101028 Mathematische Modellierung
101014 Numerische Mathematik
101020 Technische Mathematik
101024 Wahrscheinlichkeitstheorie
102001 Artificial Intelligence
102003 Bildverarbeitung
102009 Computersimulation
102019 Machine Learning
102023 Supercomputing
202027 Mechatronik
206001 Biomedizinische Technik
206003 Medizinische Physik
102035 Data Science

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Maes, K. C., Saminger, S., & De Baets, B. (2005). On the characterization of self-dual aggregation operators. in Proceedings of Joint 4th Int. Conf. in Fuzzy Logic and Technology and 11th French Days on Fuzzy Logic and Applications, Barcelona (Spain) (S. 159-164). (Proceedings - 4th Conference of the European Society for Fuzzy Logic and Technology and 11th French Days on Fuzzy Logic and Applications, EUSFLAT-LFA 2005 Joint Conference).

Maes, Koen C. ; Saminger, Susanne ; De Baets, Bernard. / On the characterization of self-dual aggregation operators. Proceedings of Joint 4th Int. Conf. in Fuzzy Logic and Technology and 11th French Days on Fuzzy Logic and Applications, Barcelona (Spain). 2005. S. 159-164 (Proceedings - 4th Conference of the European Society for Fuzzy Logic and Technology and 11th French Days on Fuzzy Logic and Applications, EUSFLAT-LFA 2005 Joint Conference).

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title = "On the characterization of self-dual aggregation operators",

abstract = "Two different characterizations of self-dual aggregation operators are available in the literature: one based on C(x,y)=x/(x+1-y) and one based on the arithmetic mean. In this contribution, we fit the existing approaches into a more general framework and characterize N-invariant aggregation operators, with N an involutive negator. Special attention is drawn to the equivalence classes that arise during the construction process.",

author = "Maes, \{Koen C.\} and Susanne Saminger and \{De Baets\}, Bernard",

year = "2005",

language = "English",

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Maes, KC, Saminger, S & De Baets, B 2005, On the characterization of self-dual aggregation operators. in Proceedings of Joint 4th Int. Conf. in Fuzzy Logic and Technology and 11th French Days on Fuzzy Logic and Applications, Barcelona (Spain). Proceedings - 4th Conference of the European Society for Fuzzy Logic and Technology and 11th French Days on Fuzzy Logic and Applications, EUSFLAT-LFA 2005 Joint Conference, S. 159-164.

On the characterization of self-dual aggregation operators. / Maes, Koen C.; Saminger, Susanne; De Baets, Bernard.
Proceedings of Joint 4th Int. Conf. in Fuzzy Logic and Technology and 11th French Days on Fuzzy Logic and Applications, Barcelona (Spain). 2005. S. 159-164 (Proceedings - 4th Conference of the European Society for Fuzzy Logic and Technology and 11th French Days on Fuzzy Logic and Applications, EUSFLAT-LFA 2005 Joint Conference).

Publikation: Beitrag in Buch/Bericht/Konferenzband › Konferenzbeitrag › Begutachtung

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Maes KC, Saminger S, De Baets B. On the characterization of self-dual aggregation operators. in Proceedings of Joint 4th Int. Conf. in Fuzzy Logic and Technology and 11th French Days on Fuzzy Logic and Applications, Barcelona (Spain). 2005. S. 159-164. (Proceedings - 4th Conference of the European Society for Fuzzy Logic and Technology and 11th French Days on Fuzzy Logic and Applications, EUSFLAT-LFA 2005 Joint Conference).