{"status":"ok","message-type":"work","message-version":"1.0.0","message":{"indexed":{"date-parts":[[2026,5,2]],"date-time":"2026-05-02T07:16:41Z","timestamp":1777706201528,"version":"3.51.4"},"reference-count":19,"publisher":"SAGE Publications","issue":"4","license":[{"start":{"date-parts":[[2025,8,3]],"date-time":"2025-08-03T00:00:00Z","timestamp":1754179200000},"content-version":"tdm","delay-in-days":0,"URL":"https:\/\/journals.sagepub.com\/page\/policies\/text-and-data-mining-license"}],"content-domain":{"domain":["journals.sagepub.com"],"crossmark-restriction":true},"short-container-title":["Journal of Intelligent & Fuzzy Systems: Applications in Engineering and Technology"],"published-print":{"date-parts":[[2025,10]]},"abstract":"\n For the purpose of studying the fuzzy version of the filter in Sheffer stroke Hilbert algebra using the concept of fuzzy point, the concept of\n \n \n (<\/mml:mo>\n \u2208<\/mml:mo>\n ,<\/mml:mo>\n <\/mml:math>\n <\/jats:inline-formula>\n \n \n \u2208<\/mml:mo>\n \u2228<\/mml:mo>\n q<\/mml:mi>\n )<\/mml:mo>\n <\/mml:math>\n <\/jats:inline-formula>\n -fuzzy filters in the Sheffer stroke Hilbert algebra is introduced and several properties are investigated. The relationship between fuzzy filters and\n \n \n (<\/mml:mo>\n \u2208<\/mml:mo>\n ,<\/mml:mo>\n <\/mml:math>\n <\/jats:inline-formula>\n \n \n \u2208<\/mml:mo>\n \u2228<\/mml:mo>\n q<\/mml:mi>\n )<\/mml:mo>\n <\/mml:math>\n <\/jats:inline-formula>\n -fuzzy filters is considered, and characterizations of\n \n \n (<\/mml:mo>\n \u2208<\/mml:mo>\n ,<\/mml:mo>\n <\/mml:math>\n <\/jats:inline-formula>\n \n \n \u2208<\/mml:mo>\n \u2228<\/mml:mo>\n q<\/mml:mi>\n )<\/mml:mo>\n <\/mml:math>\n <\/jats:inline-formula>\n -fuzzy filters are discussed. The conditions under which\n \n \n (<\/mml:mo>\n \u2208<\/mml:mo>\n ,<\/mml:mo>\n <\/mml:math>\n <\/jats:inline-formula>\n \n \n \u2208<\/mml:mo>\n \u2228<\/mml:mo>\n q<\/mml:mi>\n )<\/mml:mo>\n <\/mml:math>\n <\/jats:inline-formula>\n -fuzzy filters can become fuzzy filters are explored, and\n \n \n (<\/mml:mo>\n \u2208<\/mml:mo>\n ,<\/mml:mo>\n <\/mml:math>\n <\/jats:inline-formula>\n \n \n \u2208<\/mml:mo>\n \u2228<\/mml:mo>\n q<\/mml:mi>\n )<\/mml:mo>\n <\/mml:math>\n <\/jats:inline-formula>\n -fuzzy filters associated with homomorphisms are studied.\n <\/jats:p>","DOI":"10.1177\/18758967251355726","type":"journal-article","created":{"date-parts":[[2025,8,4]],"date-time":"2025-08-04T06:01:07Z","timestamp":1754287267000},"page":"991-1005","update-policy":"https:\/\/doi.org\/10.1177\/sage-journals-update-policy","source":"Crossref","is-referenced-by-count":0,"title":["New Forms of Fuzzy Filters in Sheffer Stroke Hilbert Algebras"],"prefix":"10.1177","volume":"49","author":[{"given":"Young Joo","family":"Seo","sequence":"first","affiliation":[{"name":"Research Institute for Natural Sciences, Department of Mathematics, Hanyang University, Seoul 04763, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"ORCID":"https:\/\/orcid.org\/0000-0003-4129-9814","authenticated-orcid":false,"given":"Sun Shin","family":"Ahn","sequence":"additional","affiliation":[{"name":"Department of Mathematics Education, Dongguk University, Seoul 04620, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]},{"given":"Young Bae","family":"Jun","sequence":"additional","affiliation":[{"name":"Department of Mathematics Education, Gyeongsang National University, Jinju 52828, Korea"}],"role":[{"role":"author","vocabulary":"crossref"}]}],"member":"179","published-online":{"date-parts":[[2025,8,3]]},"reference":[{"key":"e_1_3_4_2_1","doi-asserted-by":"publisher","DOI":"10.29020\/nybg.ejpam.v16i3.4872"},{"key":"e_1_3_4_3_1","doi-asserted-by":"publisher","DOI":"10.1016\/j.fss.2021.05.003"},{"key":"e_1_3_4_4_1","article-title":"Intuitionistic fuzzy filters in sheffer stroke hilbert algebras","author":"Borumand Saeid A.","year":"2005","unstructured":"Borumand Saeid A., Oner T., Jun Y. B. (2005). Intuitionistic fuzzy filters in sheffer stroke hilbert algebras. Soft Computing (submitted).","journal-title":"Soft Computing (submitted)"},{"key":"e_1_3_4_5_1","article-title":"Filter theory of sheffer stroke hilbert algebras based on \u0141ukasiewicz logical environment","author":"Borzooei R. A.","year":"2024","unstructured":"Borzooei R. A., Ahn S. S., Jun Y. B. (2024). Filter theory of sheffer stroke hilbert algebras based on \u0141ukasiewicz logical environment. Journal of Intelligent & Fuzzy Systems (submitted).","journal-title":"Journal of Intelligent & Fuzzy Systems (submitted)"},{"key":"e_1_3_4_6_1","doi-asserted-by":"publisher","DOI":"10.2478\/amsil-2023-0010"},{"issue":"1","key":"e_1_3_4_7_1","first-page":"19","article-title":"Sheffer operation in ortholattices, acta universitatis palackianae olomucensis","volume":"44","author":"Chajad I.","year":"2005","unstructured":"Chajad I. (2005). Sheffer operation in ortholattices, acta universitatis palackianae olomucensis. Facultas Rerum Naturalium Mathematica, 44(1), 19\u201323. http:\/\/dml.cz\/dmlcz\/133381","journal-title":"Facultas Rerum Naturalium Mathematica"},{"key":"e_1_3_4_8_1","article-title":"Weak filters and multipliers in sheffer stroke hilbert algebras","author":"Jun Y. B.","year":"2024","unstructured":"Jun Y. B., Oner T. (2024). Weak filters and multipliers in sheffer stroke hilbert algebras. Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica (submitted).","journal-title":"Analele Stiintifice ale Universitatii Ovidius Constanta, Seria Matematica (submitted)"},{"key":"e_1_3_4_9_1","doi-asserted-by":"publisher","DOI":"10.1142\/S1793005724500273"},{"issue":"1","key":"e_1_3_4_10_1","first-page":"41","article-title":"Branchesm and obstinate SBE-filters of sheffer stroke BE-algebras","volume":"12","author":"Katican T.","year":"2022","unstructured":"Katican T. (2022). Branchesm and obstinate SBE-filters of sheffer stroke BE-algebras. Bulletin of the International Mathematical Virtual Insttitute, 12(1), 41\u201350. https:\/\/doi.org\/10.7251\/BIMVI2201041K","journal-title":"Bulletin of the International Mathematical Virtual Insttitute"},{"issue":"3","key":"e_1_3_4_11_1","first-page":"355","article-title":"Axiomatization of boolean algebras based on sheffer stroke","volume":"12","author":"Kozarkiewicz V.","year":"2004","unstructured":"Kozarkiewicz V., Grabowski A. (2004). Axiomatization of boolean algebras based on sheffer stroke. Formalized Mathematics, 12(3), 355\u2013361.","journal-title":"Formalized Mathematics"},{"key":"e_1_3_4_12_1","article-title":"Ultra filters and quasi-subalgebras of sheffer stroke BL-algebras based on the bipolar-valued fuzzy environment","author":"Oner T.","year":"2024","unstructured":"Oner T., Jun Y. B., Ates F. (2024). Ultra filters and quasi-subalgebras of sheffer stroke BL-algebras based on the bipolar-valued fuzzy environment. Soft Computing (submitted).","journal-title":"Soft Computing (submitted)"},{"issue":"1","key":"e_1_3_4_13_1","first-page":"759","article-title":"Fuzzy filters of sheffer stroke hilbert algebras","volume":"40","author":"Oner T.","unstructured":"Oner T., Katican T., Borumand Saeid A. (2021a). Fuzzy filters of sheffer stroke hilbert algebras. Journal of Intelligent & Fuzzy Systems, 40(1), 759\u2013772. https:\/\/doi.org\/10.3233\/JIFS-200760","journal-title":"Journal of Intelligent & Fuzzy Systems"},{"key":"e_1_3_4_14_1","first-page":"221","article-title":"Neutrosophic N-structures on sheffer stroke hilbert algebras","volume":"42","author":"Oner T.","unstructured":"Oner T., Katican T., Borumand Saeid A. (2021b). Neutrosophic N-structures on sheffer stroke hilbert algebras. Neutrosophic Sets and Systems, 42, 221\u2013238.","journal-title":"Neutrosophic Sets and Systems"},{"issue":"1","key":"e_1_3_4_15_1","first-page":"245","article-title":"Relation between sheffer stroke and hilbert algebras","volume":"14","author":"Oner T.","unstructured":"Oner T., Katican T., Borumand Saeid A. (2021c). Relation between sheffer stroke and hilbert algebras. Categories and General Algebraic Structures with Applications, 14(1), 245\u2013268. https:\/\/doi.org\/10.29252\/cgasa.14.1.245","journal-title":"Categories and General Algebraic Structures with Applications"},{"issue":"2","key":"e_1_3_4_16_1","first-page":"18","article-title":"BL-algebras defined by an operator","volume":"44","author":"Oner T.","unstructured":"Oner T., Katican T., Borumand Saeid A. (2022a). BL-algebras defined by an operator. 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