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On the levels of fuzzy mappings and applications to optimization

  • Universidad de Tarapacá
  • Universidade Estadual de Campinas

Research output: Chapter in Book/Report/Conference proceedingConference contributionpeer-review

Abstract

Using order relations on the space of fuzzy numbers, we define the levels of fuzzy number valued mappings and we present some topologicals and geometrics properties. We use this concept to locate points and the set of points that solve a problem of fuzzy optimization. Consequently we obtain a necessary condition, for means of fuzzy integrals, for fuzzy global optimality.

Original languageEnglish
Title of host publicationProceedings - 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
Pages1076-1081
Number of pages6
StatePublished - 2005
EventJoint 4th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2005 and 11th French Days on Fuzzy Logic and Applications, LFA 2005 - Barcelona, Spain
Duration: 7 Sep 20059 Sep 2005

Publication series

NameProceedings - 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

Conference

ConferenceJoint 4th Conference of the European Society for Fuzzy Logic and Technology, EUSFLAT 2005 and 11th French Days on Fuzzy Logic and Applications, LFA 2005
Country/TerritorySpain
CityBarcelona
Period7/09/059/09/05

Keywords

  • Fuzzy functions
  • Fuzzy numbers
  • Fuzzy optimization

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