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Positive Implicative Fuzzy Filters of Equality Algebrasopen access
- Authors
- 전영배
- Issue Date
- Dec-2025
- Publisher
- Ayandegan Institute of Higher Education,
- Keywords
- (∈,∈)-fuzzy Filter; Positive Implicative (∈, ∈)-fuzzy Filter; Positive Set; Qt-set; ∈t-set
- Citation
- Journal of Fuzzy Extension and Applications, v.6, no.4, pp 637 - 650
- Pages
- 14
- Indexed
- SCOPUS
- Journal Title
- Journal of Fuzzy Extension and Applications
- Volume
- 6
- Number
- 4
- Start Page
- 637
- End Page
- 650
- ISSN
- 2717-3453
2717-3453
- Abstract
- The concept of fuzzy points is used to study positive implicative filters of equality algebras. The notion of positive implicative (∈, ∈)-fuzzy filters of equality algebras is introduced, and various properties are investigated. The relation between (∈, ∈)-fuzzy filters and positive implicative (∈, ∈)-fuzzy filters are examined. Conditions for the ∈<inf>t</inf>-set, q<inf>t</inf>-set and positive set to be positive implicative filters are explored. The extension property for positive implicative (∈, ∈)-fuzzy filters is established.
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