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초록
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.
키워드
(Extended) q<sub>t</sub>-set; Filter; Positive set; Pre-ordered residuated system; Residuated relational system; ∈<sub>t</sub>-set
- 제목
- Fuzzy Filters of Pre-ordered Residuated Systems
- 저자
- Jun, Young Bae
- 발행일
- 2025-05
- 유형
- Article
- 저널명
- Transactions on Fuzzy Sets and Systems
- 권
- 4
- 호
- 1
- 페이지
- 30 ~ 41
- 언어
- ENG
- 출판사
- Islamic Azad University, Bandar Abbas Branch
- 발행국가
- 이란
- 분량
- 12 페이지
- ISSN
- P 2821-0131