On the Preservation of Monotonicity by Extended Mappings

Ulrich Bodenhofer

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

Abstract

Images of fuzzy relations provide powerful access to fuzzifications of properties of and/or relationships between fuzzy sets. As an important example, images of fuzzy orderings canonically lead to a concept of ordering of fuzzy sets. This contribution studies in which way the partial (i.e. componentwise) monotonicity of an n-ary mapping transfers to its extension to fuzzy sets.
Original languageEnglish
Title of host publicationProc. 3rd Int. Conf. in Fuzzy Logic and Technology
Pages251-254
Number of pages4
Publication statusPublished - Sept 2003

Fields of science

  • 101004 Biomathematics
  • 101027 Dynamical systems
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  • 305905 Medical informatics
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  • 102032 Computational intelligence
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  • 101031 Approximation theory

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