Fuzzy Filters of Pre-ordered Residuated Systems
محورهای موضوعی : Transactions on Fuzzy Sets and Systems
1 - Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea.
کلید واژه: Residuated relational system, Pre-ordered residuated system, Filter, $\in_{t}$-Set, (Extended) $q_{t}$-Set, Positive set.,
چکیده مقاله :
Using the concept of fuzzy points, the notion of fuzzy filters in pre-ordered residuated systems is introduced, 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, $\in_{t}$-set, (extended) $q_{t}$-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.
Using the concept of fuzzy points, the notion of fuzzy filters in pre-ordered residuated systems is introduced, 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, $\in_{t}$-set, (extended) $q_{t}$-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.
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