‎Fuzzy Filters of Pre-ordered Residuated Systems

<p>&lrm;&lrm;Using the concept of fuzzy points&lrm;, &lrm;the notion of fuzzy filters in pre-ordered residuated systems is introduced&lrm;, &lrm;and their relevant properties are investigated and analyzed&lrm;. &lrm;Characterization of fuzzy filters are displaye...

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Bibliographic Details
Main Author: Young Bae Jun
Format: Article
Language:English
Published: Islamic Azad University, Bandar Abbas Branch 2025-02-01
Series:Transactions on Fuzzy Sets and Systems
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Online Access:https://sanad.iau.ir/journal/tfss/Article/1129288
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Summary:<p>&lrm;&lrm;Using the concept of fuzzy points&lrm;, &lrm;the notion of fuzzy filters in pre-ordered residuated systems is introduced&lrm;, &lrm;and their relevant properties are investigated and analyzed&lrm;. &lrm;Characterization of fuzzy filters are displayed&lrm;. &lrm;Fuzzy filters are formed using filters&lrm;. &lrm;The concepts of positive set&lrm;, &lrm;$\in_{t}$-set&lrm;, &lrm;(extended) $q_{t}$-set are defined and the conditions under which they become filters are explored&lrm;. &lrm;The concept of fuzzy filter with thresholds is introduced and related properties are investigated&lrm;.</p>
ISSN:2821-0131