Mathematics of Ordered Structures

Home/ Mathematics of Ordered Structures

Prof. Dr. Esteban Indurain
Departamento de Estadística, Informática y Matemáticas
Contact by E-mail

WCCI2020 Glasgow, UK

Session organization

Know +

Special Session: Functional equations related to fuzzy sets and systems

Note: this session has been accepted for the FUZZ-IEEE 2020 conference which will be held as part of the 2020 IEEE WCCI in Glasgow, UK, July 19-24, 2020.


In many branches of fuzzy sets and systems and its applications it is typical to find definitions that, in an abstract level, correspond to some sort of functional equations. This is the case, to put just a few examples, of REF functions, negations, dissimilarities, different kinds of aggregation operators, implications, norms and co-norms, entropies, etc. One may notice that a remarkable list of concepts differ only on the domain on which they are defined (e.g.: the unit interval, a lattice, the Cartesian product of three copies of the unit interval, the real line), but the nomenclature in each concept and application is usually different, too. We think that it could be interesting to formalize all those concepts in an even more abstract setting, that is, analyzing the corresponding functional equations on a general abstract sets. Of course, once a theory or at least a collection of background results has been got, it could be used in any possible application, just interpreting it in the particular case involved.


Analyze different kinds of functional equations arising in fuzzy settings.
Unify notations and nomenclature
Look for structural results in an abstract ground level


  • Negations
  • Dissimilarities
  • Entropies
  • REF functions
  • Aggregation operators
  • Implications
  • Funtional equations in the unit interval.
  • Functional equations in lattices.



Papers submitted for special sessions are to be peer-reviewed with the same criteria used for the rest of contributed papers. As a result, all accepted papers will be included in the proceedings of the FUZZ-IEEE 2020. If you are interested in taking part on this special session, please submit your paper directly through the WCCI web site selecting the option "Main research topic": Functional equations related to fuzzy sets and systems. You can find further information related to the submission process and important dates at conference web site.


  • Paper submission: January 15th, 2020
  • Acceptance/rejection notification: March 15th, 2020
  • Camera-ready paper submission: April 15th, 2020
  • Conference dates: July 19-24, 2020

Organizers and contact:

Maria Jesús Campión Arrastia (

Inarbe - Institute for Advanced Research in Business and Economics

 Department of Statistics, Computing and Mathematics,  Public University of Navarra, Spain


Esteban Induráin Eraso  (

InaMat - Institute for Advanced Materials

Department of Statistics, Computing and Mathematics,  Public University of Navarra, Spain