{"id":"https://openalex.org/W1435444341","doi":"https://doi.org/10.3233/ifs-151588","title":"States on <i>EQ</i> -algebras","display_name":"States on <i>EQ</i> -algebras","publication_year":2015,"publication_date":"2015-09-23","ids":{"openalex":"https://openalex.org/W1435444341","doi":"https://doi.org/10.3233/ifs-151588","mag":"1435444341"},"language":"en","primary_location":{"id":"doi:10.3233/ifs-151588","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-151588","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; Fuzzy Systems","raw_type":"journal-article"},"type":"article","indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111267742","display_name":"RA Borzooei","orcid":null},"institutions":[{"id":"https://openalex.org/I55547365","display_name":"Payame Noor University","ror":"https://ror.org/031699d98","country_code":"IR","type":"education","lineage":["https://openalex.org/I55547365"]}],"countries":["IR"],"is_corresponding":true,"raw_author_name":"RA Borzooei","raw_affiliation_strings":["Department of Mathematics, Payamnour University, G.C., Tehran, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Payamnour University, G.C., Tehran, Iran","institution_ids":["https://openalex.org/I55547365"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5029134317","display_name":"Batoul Ganji Saffar","orcid":"https://orcid.org/0000-0002-5705-5331"},"institutions":[{"id":"https://openalex.org/I55547365","display_name":"Payame Noor University","ror":"https://ror.org/031699d98","country_code":"IR","type":"education","lineage":["https://openalex.org/I55547365"]}],"countries":["IR"],"is_corresponding":false,"raw_author_name":"B. Ganji Saffar","raw_affiliation_strings":["Department of Mathematics, Payamnour University, G.C., Tehran, Iran"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Payamnour University, G.C., Tehran, Iran","institution_ids":["https://openalex.org/I55547365"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5111267742"],"corresponding_institution_ids":["https://openalex.org/I55547365"],"apc_list":null,"apc_paid":null,"fwci":1.0029,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.77234246,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":98},"biblio":{"volume":"29","issue":"1","first_page":"209","last_page":"221"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9998999834060669,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9976999759674072,"subfield":{"id":"https://openalex.org/subfields/1703","display_name":"Computational Theory and Mathematics"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9901000261306763,"subfield":{"id":"https://openalex.org/subfields/1702","display_name":"Artificial Intelligence"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/algebraic-structure","display_name":"Algebraic structure","score":0.7362961769104004},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6422841548919678},{"id":"https://openalex.org/keywords/class","display_name":"Class (philosophy)","score":0.5900379419326782},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5746470093727112},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.5627897381782532},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5524930357933044},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.5479816794395447},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.5476367473602295},{"id":"https://openalex.org/keywords/interior-algebra","display_name":"Interior algebra","score":0.4744243025779724},{"id":"https://openalex.org/keywords/subalgebra","display_name":"Subalgebra","score":0.42758530378341675},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.41063210368156433},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.15228039026260376},{"id":"https://openalex.org/keywords/division-algebra","display_name":"Division algebra","score":0.1361398696899414},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.06114119291305542},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.056251466274261475},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.05362531542778015}],"concepts":[{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.7362961769104004},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6422841548919678},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.5900379419326782},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5746470093727112},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5627897381782532},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5524930357933044},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.5479816794395447},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.5476367473602295},{"id":"https://openalex.org/C203254541","wikidata":"https://www.wikidata.org/wiki/Q10894825","display_name":"Interior algebra","level":5,"score":0.4744243025779724},{"id":"https://openalex.org/C67996461","wikidata":"https://www.wikidata.org/wiki/Q629933","display_name":"Subalgebra","level":3,"score":0.42758530378341675},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.41063210368156433},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.15228039026260376},{"id":"https://openalex.org/C138354692","wikidata":"https://www.wikidata.org/wiki/Q1231309","display_name":"Division algebra","level":4,"score":0.1361398696899414},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.06114119291305542},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.056251466274261475},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.05362531542778015},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C10138342","wikidata":"https://www.wikidata.org/wiki/Q43015","display_name":"Finance","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/ifs-151588","is_oa":false,"landing_page_url":"https://doi.org/10.3233/ifs-151588","pdf_url":null,"source":{"id":"https://openalex.org/S179157397","display_name":"Journal of Intelligent & Fuzzy Systems","issn_l":"1064-1246","issn":["1064-1246","1875-8967"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Intelligent &amp; Fuzzy Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":10,"referenced_works":["https://openalex.org/W1989525411","https://openalex.org/W2023648368","https://openalex.org/W2043870082","https://openalex.org/W2083525574","https://openalex.org/W2090670604","https://openalex.org/W2112440330","https://openalex.org/W2148905892","https://openalex.org/W2912142129","https://openalex.org/W2963777064","https://openalex.org/W4293176479"],"related_works":["https://openalex.org/W1992951617","https://openalex.org/W2062231577","https://openalex.org/W2018815933","https://openalex.org/W2295223208","https://openalex.org/W2156697727","https://openalex.org/W1499763399","https://openalex.org/W2361020287","https://openalex.org/W1820489854","https://openalex.org/W2490452405","https://openalex.org/W2065498341"],"abstract_inverted_index":{"Abstract":[0],"The":[1],"notion":[2,36],"of":[3,19,37,46,56,63],"state":[4,38,64],"is":[5,43],"an":[6],"analogue":[7],"to":[8],"probability":[9],"measure":[10],"and":[11,27,51],"it":[12],"has":[13],"been":[14],"studied":[15],"for":[16],"different":[17],"types":[18],"structures":[20],"such":[21],"as":[22],"MV":[23],"-algebras,":[24],"BL":[25],"-algebras":[26,41],"BCK":[28],"algebra.":[29],"In":[30],"this":[31],"paper":[32],"we":[33,52,59],"define":[34],"the":[35],"on":[39],"EQ":[40,65],"which":[42],"algebraic":[44],"structure":[45],"higher":[47],"order":[48],"fuzzy":[49],"logic":[50],"investigate":[53],"some":[54],"properties":[55],"them.":[57],"Then":[58],"characterize":[60],"representable":[61],"class":[62],"-algebras.":[66]},"counts_by_year":[{"year":2026,"cited_by_count":1},{"year":2025,"cited_by_count":1},{"year":2024,"cited_by_count":2},{"year":2022,"cited_by_count":5},{"year":2021,"cited_by_count":3},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":1},{"year":2018,"cited_by_count":1},{"year":2017,"cited_by_count":2}],"updated_date":"2026-07-30T17:31:21.811387","created_date":"2016-06-24T00:00:00"}