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AN APPROACH TO THE THEORETICAL FOUNDATIONS OF ELECTRONIC CIRCUIT DESIGN: SHEFFER STROKE HILBERT ALGEBRAS AND FUZZY SETS WITH THRESHOLDS

descriptionPublicationkeyboard_double_arrow_right Article 25 Dec 2024Publisher:Jomard PublishingJournal:Journal of Modern Technology and Engineering, volume 9, pages 178-185 (issn: 2519-4836, Copyright policy )
Authors: Tahsin Oner;

doi: 10.62476/jmte93178

AN APPROACH TO THE THEORETICAL FOUNDATIONS OF ELECTRONIC CIRCUIT DESIGN: SHEFFER STROKE HILBERT ALGEBRAS AND FUZZY SETS WITH THRESHOLDS

Abstract

The Sheffer Stroke (also known as the NAND operator) is an important logical operator used in digital circuits based on the theory of fuzzy sets. The concept of fuzzy subalgebras (or fuzzy ideals) with thresholds in Sheffer Stroke Hilbert algebras is introduced. Several properties of these fuzzy subalgebras (fuzzy ideals) are discussed, and their generalizations are proven. Furthermore, the relationships between fuzzy subalgebras (fuzzy ideals) with thresholds and their level subsets are explored in detail.

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Powered by OpenAIRE graph
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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
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