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image/svg+xml Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Closed Access logo, derived from PLoS Open Access logo. This version with transparent background. http://commons.wikimedia.org/wiki/File:Closed_Access_logo_transparent.svg Jakob Voss, based on art designer at PLoS, modified by Wikipedia users Nina and Beao Proceeding of the Bu...arrow_drop_down
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Proceeding of the Bulgarian Academy of Sciences
Article . 2024 . Peer-reviewed
License: https://copyrights.bg/%D0%B7%D0%B0%D0%BA%D0%BE%D0%BD-%D0%B7%D0%B0-%D0%B0%D0%B2%D1%82%D0%BE%D1%80%D1%81%D0%BA%D0%BE%D1%82%D0%BE-%D0%BF%D1%80%D0%B0%D0%B2%D0%BE/
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Bipolar Fuzzy Sets Are Intuitionistic Fuzzy Sets

descriptionPublicationkeyboard_double_arrow_right Article 25 Dec 2024Publisher:Prof. Marin Drinov Publishing House of BAS (Bulgarian Academy of Sciences)Journal:Proceedings of the Bulgarian Academy of Sciences, volume 77 (issn: 1310-1331, eissn: 2367-5535, Copyright policy )
Authors: Krassimir Atanassov; Janusz Kacprzyk;

doi: 10.7546/crabs.2024.12.02

Bipolar Fuzzy Sets Are Intuitionistic Fuzzy Sets

Abstract

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.

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
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