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Fuzzy Filters of Pre-ordered Residuated Systemsopen access
- Authors
- Jun, Young Bae
- Issue Date
- May-2025
- Publisher
- Islamic Azad University, Bandar Abbas Branch
- Keywords
- (Extended) q<sub>t</sub>-set; Filter; Positive set; Pre-ordered residuated system; Residuated relational system; ∈<sub>t</sub>-set
- Citation
- Transactions on Fuzzy Sets and Systems, v.4, no.1, pp 30 - 41
- Pages
- 12
- Indexed
- SCOPUS
- Journal Title
- Transactions on Fuzzy Sets and Systems
- Volume
- 4
- Number
- 1
- Start Page
- 30
- End Page
- 41
- ISSN
- 2821-0131
- Abstract
- Using the concept of fuzzy points, the notion of fuzzy filters in pre-ordered residuated systems is intro-duced, and their relevant properties are investigated and analyzed. Characterization of fuzzy filters are displayed. Fuzzy filters are formed using filters. The concepts of positive set, ∈t-set, (extended) qt-set are defined and the conditions under which they become filters are explored. The concept of fuzzy filter with thresholds is introduced and related properties are investigated. © 2025, Islamic Azad University. All rights reserved.
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