Falling Shadow Theory with Applications in Hoops

The falling shadow theory is applied to subhoops and filters in hoops. The notions of falling fuzzy subhoops and falling fuzzy filters in hoops are introduced, and several properties are investigated. Relationship between falling fuzzy subhoops and falling fuzzy filters are discussed, and conditions...

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Veröffentlicht in:	Bulletin of the Section of Logic 2021, Vol.50 (3), p.337-353
Hauptverfasser:	Borzooei, Rajab Ali, Rezaei, Gholam Reza, Kologhani, Mona Aaly, Jun, Young Bae
Format:	Artikel
Sprache:	eng
Schlagworte:	falling fuzzy filter falling fuzzy subhoop fuzzy filter Fuzzy sets fuzzy subhoop hoop Hoops Logic Set theory Shadows
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Beschreibung
Zusammenfassung:	The falling shadow theory is applied to subhoops and filters in hoops. The notions of falling fuzzy subhoops and falling fuzzy filters in hoops are introduced, and several properties are investigated. Relationship between falling fuzzy subhoops and falling fuzzy filters are discussed, and conditions for a falling fuzzy subhoop to be a falling fuzzy filter are provided. Also conditions for a falling shadow of a random set to be a falling fuzzy filter are displayed.
ISSN:	0138-0680 2449-836X
DOI:	10.18778/0138-0680.2021.03