Study hoop algebras by fuzzy (n -fold) obstinate filters

Abstract: In this article, we introduce the concept of fuzzy (n-fold) obstinate filter on hoop algebras and study some of the properties. We define and study fuzzy prime filter and fuzzy n-fold implicative filter on hoop algebras. Also, the relationship between fuzzy obstinate filter and some other fuzzy filters likeness fuzzy prime and fuzzy positive implicative filters are investigated. Then we show that the quotient of this structure is a Boolean algebra and obtained some condition equivalent with fuzzy n-fold implicative filter. Finally we show that every fuzzy n-fold obstinate filter with some conditions is a fuzzy n-fold implicative filter.

Object Details

• Location: Deutsche Nationalbibliothek Frankfurt am Main
• Extent: Online-Ressource
• Language: Englisch

References and Relationships

• Bibliographic citation: Study hoop algebras by fuzzy (n -fold) obstinate filters ; volume:11 ; number:1 ; year:2023 ; extent:16 ; Topological algebra and its applications ; 11, Heft 1 (2023) (gesamt 16)

Contributors, Places and Time

• Creator: Namdar, Ameneh ; Saeid, Arsham Borumand

Further information

• DOI: 10.1515/taa-2023-0107
• URN: urn:nbn:de:101:1-2024012713073430704274
• Rights: Open Access; Der Zugriff auf das Objekt ist unbeschränkt möglich.
• Last update: 15.08.2025, 7:22 AM CEST