{"paper":{"title":"Characterizations of Fuzzy Fated Filters of $R_0$-algebras Based on Fuzzy Points","license":"http://creativecommons.org/licenses/by/3.0/","headline":"","cross_cats":[],"primary_cat":"math.GM","authors_text":"J. Kavikumar, Muhmmad Akram, Young Bae Jun","submitted_at":"2015-06-11T18:05:58Z","abstract_excerpt":"The most general form of the notion of quasi-coincidence of a fuzzy point with a fuzzy subset is considered, and generalization of fuzzy fated of $R_0$-algebras is discussed. The notion of an $(\\epsilon , \\epsilon \\vee q_k)$-fuzzy fated filter in an $R_0$-algebra is introduced, and several properties are investigated. Characterizations of an $(\\epsilon ,\\epsilon \\vee q_k)$-fuzzy fated filter in an $R_0$-algebra are discussed. Using a collection of fated filters, a $(\\epsilon ,\\epsilon \\vee q_k)$-fuzzy fated filter is established."},"claims":{"count":0,"items":[],"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"source":{"id":"1507.01448","kind":"arxiv","version":1},"verdict":{"id":null,"model_set":{},"created_at":null,"strongest_claim":"","one_line_summary":"","pipeline_version":null,"weakest_assumption":"","pith_extraction_headline":""},"references":{"count":0,"sample":[],"resolved_work":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57","internal_anchors":0},"formal_canon":{"evidence_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"author_claims":{"count":0,"strong_count":0,"snapshot_sha256":"258153158e38e3291e3d48162225fcdb2d5a3ed65a07baac614ab91432fd4f57"},"builder_version":"pith-number-builder-2026-05-17-v1"}