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TWMS Journal of Applied and Engineering Mathematics
Article . 2019 . Peer-reviewed
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INTUITIONISTIC FUZZY BI-IMPLICATOR AND PROPERTIES OF LUKASIEWICZ INTUITIONISTIC FUZZY BI-IMPLICATOR

Authors: ASHRAF, S.; QAYYUM, M.; KERR, E. E.;

INTUITIONISTIC FUZZY BI-IMPLICATOR AND PROPERTIES OF LUKASIEWICZ INTUITIONISTIC FUZZY BI-IMPLICATOR

Abstract

This paper presents axiomatic as well as constructive definitions of intuitionistic fuzzy bi-implicators based on intuitionistic fuzzy t-norms and their intuitionistic fuzzy residual implicators. The inter-relationship among different proposed classes is presented along with a detailed study of the properties of one of these intuitionistic fuzzy bi-implicators called the intuitionistic fuzzy beta-bi-operator constructed using Lukasiewicz intuitionistic fuzzy t-norm and its R-implicator.

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Belgium
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Keywords

Mathematics and Statistics, T-NORMS, Intuitionistic fuzzy set;Intuitionistic fuzzy implicator;Intuitionistic fuzzy t-norm;Intuitionistic fuzzy bi-implicator., Intuitionistic fuzzy t-norm, Intuitionistic fuzzy set, Intuitionistic fuzzy bi-implicator, Intuitionistic fuzzy implicator

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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!
0
Average
Average
Average
Green
gold