Equivalent Structures of Interval Sets and Fuzzy Interval Sets

Bao Qing Hu, Heung Wong, Ka fai Cedric Yiu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

3 Citations (Scopus)


Ideas of interval sets come from the lower and upper approximations of rough sets to study a unified structure of rough sets and their generalizations. Starting from the interval sets and their operations, this paper summarizes and analyzes other sets that have similarities with the interval sets or fuzzy interval sets. Our conclusions are that interval sets are mathematically equivalent to shadowed sets and flou sets, respectively, and fuzzy interval sets are mathematically equivalent to interval-valued fuzzy sets and intuitionistic fuzzy sets, respectively.

Original languageEnglish
Pages (from-to)68-92
Number of pages25
JournalInternational Journal of Intelligent Systems
Issue number1
Publication statusPublished - Jan 2018

ASJC Scopus subject areas

  • Software
  • Theoretical Computer Science
  • Human-Computer Interaction
  • Artificial Intelligence

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