Bipolar Fuzzy Sets Are Intuitionistic Fuzzy Sets
In 1983 the Intuitionistic Fuzzy Sets (IFSs) were introduced as an extension of Zadeh's fuzzy sets. Fifteen years later the Bipolar Fuzzy Sets (BFSs) were introduced as a new extension of fuzzy sets. In the article it is proved that each BFS can be transformed injectively or bijectively to an IFSs.
Authors
- Janusz Kacprzyk (ORCID: https://orcid.org/0000-0003-4187-5877)
- Krassimir Atanassov (ORCID: https://orcid.org/0000-0001-5625-071X)
Institutions
- Bulgarian Academy of Sciences (BG)
- Institute of Biophysics and Biomedical Engineering (BG)
- Warsaw School of Information Technology (PL)
- Systems Research Institute (PL)
- Polish Academy of Sciences (PL)
Publication Details
- Journal
- Proceedings of the Bulgarian Academy of Sciences
- Published
- 2024-12-25
- DOI
- https://doi.org/10.7546/crabs.2024.12.02
- Primary Topic
- Intuitionistic Fuzzy Systems Applications
- Type
- article
- Field-Weighted Citation Impact
- 0.00
Funders
- Bulgarian Academy of Sciences