Fuzzy Filters of Pre-ordered Residuated Systems
Young Bae Jun
1
(Department of Mathematics EducationGyeongsang National UniversityChinju 660-701, 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.
چکیده انگلیسی :
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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