{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2025,7,30]],"date-time":"2025-07-30T14:45:17Z","timestamp":1753886717935,"version":"3.41.2"},"reference-count":16,"publisher":"Wiley","issue":"1","license":[{"start":{"date-parts":[[2011,1,24]],"date-time":"2011-01-24T00:00:00Z","timestamp":1295827200000},"content-version":"vor","delay-in-days":23,"URL":"http:\/\/creativecommons.org\/licenses\/by\/3.0\/"}],"funder":[{"name":"National Nature Science Foundation of Shaanxi Province","award":["2007A19"],"award-info":[{"award-number":["2007A19"]}]}],"content-domain":{"domain":["onlinelibrary.wiley.com"],"crossmark-restriction":true},"short-container-title":["International Journal of Mathematics and Mathematical Sciences"],"published-print":{"date-parts":[[2011,1]]},"abstract":"<jats:p>The notion of fuzzy s\u2010prime filters of a bounded BCK\u2010algebra is introduced. We discuss the relation between fuzzy s\u2010prime filters and fuzzy prime filters. By the fuzzy s\u2010prime filters of a bounded commutative BCK\u2010algebra <jats:italic>X<\/jats:italic>, we establish a fuzzy topological structure on <jats:italic>X<\/jats:italic>. We prove that the set of all fuzzy s\u2010prime filters of a bounded commutative BCK\u2010algebra forms a topological space. Moreover, we show that the set of all fuzzy s\u2010prime filters of a bounded implicative BCK\u2010algebra is a Hausdorff space.<\/jats:p>","DOI":"10.1155\/2011\/795934","type":"journal-article","created":{"date-parts":[[2011,1,24]],"date-time":"2011-01-24T19:30:11Z","timestamp":1295897411000},"update-policy":"https:\/\/doi.org\/10.1002\/crossmark_policy","source":"Crossref","is-referenced-by-count":2,"title":["Fuzzy Filter Spectrum of a BCK Algebra"],"prefix":"10.1155","volume":"2011","author":[{"given":"Xiao Long","family":"Xin","sequence":"first","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Wei","family":"Ji","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Xiu Juan","family":"Hua","sequence":"additional","affiliation":[],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"311","published-online":{"date-parts":[[2011,1,24]]},"reference":[{"key":"e_1_2_5_1_2","doi-asserted-by":"publisher","DOI":"10.3792\/pja\/1195522171"},{"key":"e_1_2_5_2_2","first-page":"351","article-title":"Ideal theory of BCK-algebras","volume":"21","author":"Is\u00e9ki K.","year":"1976","journal-title":"Mathematica Japonica"},{"key":"e_1_2_5_3_2","first-page":"1","article-title":"An introduction to the theory of BCK-algebras","volume":"23","author":"Is\u00e9ki K.","year":"1978","journal-title":"Mathematica Japonica"},{"volume-title":"BCK-Algebras","year":"1994","author":"Meng J.","key":"e_1_2_5_4_2"},{"key":"e_1_2_5_5_2","first-page":"338","article-title":"Fuzzy sets","volume":"8","author":"Zadeh L. 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