A Bipolar-Valued Fuzzy Set is an Intersected Interval-Valued Fuzzy Set

Bao Qing Hu, Ka fai Cedric Yiu

Research output: Journal article publicationJournal articleAcademic researchpeer-review

2 Citations (Scopus)

Abstract

This paper shows that a bipolar-valued fuzzy set and a special interval-valued fuzzy set, whose cut-off point of left and right ends of the interval-valued membership is λ (0<λ<1), are identical from a mathematical point of view. All results on bipolar-valued fuzzy sets can be obtained by corresponding results of interval-valued fuzzy sets or fuzzy sets. This paper does not completely reject bipolar-valued fuzzy sets, but points the way for such research.

Original languageEnglish
Article number119980
JournalInformation Sciences
Volume657
DOIs
Publication statusPublished - Feb 2024

Keywords

  • Bipolar-valued fuzzy sets
  • Intersected interval-valued fuzzy sets
  • Interval-valued fuzzy sets
  • Interval-valued rough fuzzy sets

ASJC Scopus subject areas

  • Software
  • Control and Systems Engineering
  • Theoretical Computer Science
  • Computer Science Applications
  • Information Systems and Management
  • Artificial Intelligence

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