Characterization of the level sets for interactive additions

Lucian Coroianu, R. Fullér

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

1 Citation (Scopus)

Abstract

In this paper, on the set of unimodal fuzzy numbers, first we prove that under some minimal assumptions, it suffices to consider only those joint possibility distributions that satisfy that the left/right side of the fuzzy number generated by the interactive addition based on the given joint possibility distribution, is obtained by evaluating only the left/right side of the summands. Then, we will obtain a representation theorem for the level sets of this interactive addition in terms of the level sets of the summands. These results generalize corresponding results for the special case of triangular-norm-based additions.

Original languageEnglish
Title of host publicationCINTI 2016 - 17th IEEE International Symposium on Computational Intelligence and Informatics: Proceedings
PublisherInstitute of Electrical and Electronics Engineers Inc.
Pages35-40
Number of pages6
ISBN (Electronic)9781509039098
DOIs
Publication statusPublished - Feb 7 2017
Event17th IEEE International Symposium on Computational Intelligence and Informatics, CINTI 2016 - Budapest, Hungary
Duration: Nov 17 2016Nov 19 2016

Other

Other17th IEEE International Symposium on Computational Intelligence and Informatics, CINTI 2016
CountryHungary
CityBudapest
Period11/17/1611/19/16

Keywords

  • Fuzzy numbers
  • interactive addition
  • joint possibility distribution
  • triangular norm

ASJC Scopus subject areas

  • Control and Optimization
  • Artificial Intelligence
  • Information Systems

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    Coroianu, L., & Fullér, R. (2017). Characterization of the level sets for interactive additions. In CINTI 2016 - 17th IEEE International Symposium on Computational Intelligence and Informatics: Proceedings (pp. 35-40). [7846376] Institute of Electrical and Electronics Engineers Inc.. https://doi.org/10.1109/CINTI.2016.7846376