On some classes of aggregation functions that are migrative

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

10 Citations (Scopus)

Abstract

In this paper we introduce and describe two classes of aggregation functions with members that are migrative. First continuous triangular norms are studied that own the migrative property with respect to another fixed t-norm, in particular to the three prototypes minimum, product, and the Łukasiewicz t-norm. For classes of nilpotent and strict migrative t-norms the characterization and construction is carried out by solving functional equations for the generators. For the third case when the fixed t-norm is the minimum, an ordinal-sum-like construction is resulted. Then we formulate and study the migrative property for quasi-arithmetic means. The results are less permissive than for t-norms: we can hardly escape from the classical arithmetic mean.

Original languageEnglish
Title of host publication2009 International Fuzzy Systems Association World Congress and 2009 European Society for Fuzzy Logic and Technology Conference, IFSA-EUSFLAT 2009 - Proceedings
Pages653-656
Number of pages4
Publication statusPublished - Dec 1 2009
EventJoint 2009 International Fuzzy Systems Association World Congress, IFSA 2009 and 2009 European Society of Fuzzy Logic and Technology Conference, EUSFLAT 2009 - Lisbon, Portugal
Duration: Jul 20 2009Jul 24 2009

Publication series

Name2009 International Fuzzy Systems Association World Congress and 2009 European Society for Fuzzy Logic and Technology Conference, IFSA-EUSFLAT 2009 - Proceedings

Other

OtherJoint 2009 International Fuzzy Systems Association World Congress, IFSA 2009 and 2009 European Society of Fuzzy Logic and Technology Conference, EUSFLAT 2009
CountryPortugal
CityLisbon
Period7/20/097/24/09

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Keywords

  • Functional equations
  • Migrative property
  • Quasi-arithmetic means
  • Triangular norms

ASJC Scopus subject areas

  • Computational Theory and Mathematics
  • Information Systems

Cite this

Fodor, J., & Rudas, I. J. (2009). On some classes of aggregation functions that are migrative. In 2009 International Fuzzy Systems Association World Congress and 2009 European Society for Fuzzy Logic and Technology Conference, IFSA-EUSFLAT 2009 - Proceedings (pp. 653-656). (2009 International Fuzzy Systems Association World Congress and 2009 European Society for Fuzzy Logic and Technology Conference, IFSA-EUSFLAT 2009 - Proceedings).