On uninorms with strict underlying T-norm and T-conorm

J. Fodor, Bernard De Baets

Research output: Chapter in Book/Report/Conference proceedingConference contribution

1 Citation (Scopus)

Abstract

In this paper we study uninorms with given strict underlying t-norm and t-conorm. Such uninorms are the only candidates for being represented by (additive) generator functions. We prove that representability depends exclusively on the value of the uninorm at a single point in the "remaining" open part of the unit square. The uninorm turns out to be representable if and only if this single value is strictly between the two bounds min and max. If this single value equals to one of the bounds then all values are equal to the same bound at any point in that "remaining" part.

Original languageEnglish
Title of host publicationSISY 2008 - 6th International Symposium on Intelligent Systems and Informatics
DOIs
Publication statusPublished - 2008
Event6th International Symposium on Intelligent Systems and Informatics, SISY 2008 - Subotica, Serbia
Duration: Sep 26 2008Sep 27 2008

Other

Other6th International Symposium on Intelligent Systems and Informatics, SISY 2008
CountrySerbia
CitySubotica
Period9/26/089/27/08

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Function generators

ASJC Scopus subject areas

  • Artificial Intelligence
  • Control and Systems Engineering

Cite this

Fodor, J., & De Baets, B. (2008). On uninorms with strict underlying T-norm and T-conorm. In SISY 2008 - 6th International Symposium on Intelligent Systems and Informatics [4664935] https://doi.org/10.1109/SISY.2008.4664935

On uninorms with strict underlying T-norm and T-conorm. / Fodor, J.; De Baets, Bernard.

SISY 2008 - 6th International Symposium on Intelligent Systems and Informatics. 2008. 4664935.

Research output: Chapter in Book/Report/Conference proceedingConference contribution

Fodor, J & De Baets, B 2008, On uninorms with strict underlying T-norm and T-conorm. in SISY 2008 - 6th International Symposium on Intelligent Systems and Informatics., 4664935, 6th International Symposium on Intelligent Systems and Informatics, SISY 2008, Subotica, Serbia, 9/26/08. https://doi.org/10.1109/SISY.2008.4664935
Fodor J, De Baets B. On uninorms with strict underlying T-norm and T-conorm. In SISY 2008 - 6th International Symposium on Intelligent Systems and Informatics. 2008. 4664935 https://doi.org/10.1109/SISY.2008.4664935
Fodor, J. ; De Baets, Bernard. / On uninorms with strict underlying T-norm and T-conorm. SISY 2008 - 6th International Symposium on Intelligent Systems and Informatics. 2008.
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