{"id":"https://openalex.org/W2058883040","doi":"https://doi.org/10.1155/2013/716435","title":"Characterizations of Hemirings Based on Probability Spaces","display_name":"Characterizations of Hemirings Based on Probability Spaces","publication_year":2013,"publication_date":"2013-01-01","ids":{"openalex":"https://openalex.org/W2058883040","doi":"https://doi.org/10.1155/2013/716435","mag":"2058883040"},"language":"lv","primary_location":{"id":"doi:10.1155/2013/716435","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/716435","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/716435.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/jam/2013/716435.pdf","any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5086068094","display_name":"Bin Yu","orcid":"https://orcid.org/0000-0002-6321-2129"},"institutions":[{"id":"https://openalex.org/I4210106563","display_name":"Hubei University for Nationalities","ror":"https://ror.org/01q349q17","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210106563"]},{"id":"https://openalex.org/I75900474","display_name":"Hubei University","ror":"https://ror.org/03a60m280","country_code":"CN","type":"education","lineage":["https://openalex.org/I75900474"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bin Yu","raw_affiliation_strings":["Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei 445000, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei 445000, China","institution_ids":["https://openalex.org/I4210106563","https://openalex.org/I75900474"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5100691996","display_name":"Jianming Zhan","orcid":"https://orcid.org/0000-0003-2510-9515"},"institutions":[{"id":"https://openalex.org/I4210106563","display_name":"Hubei University for Nationalities","ror":"https://ror.org/01q349q17","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210106563"]},{"id":"https://openalex.org/I75900474","display_name":"Hubei University","ror":"https://ror.org/03a60m280","country_code":"CN","type":"education","lineage":["https://openalex.org/I75900474"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Jianming Zhan","raw_affiliation_strings":["Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei 445000, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Hubei University for Nationalities, Enshi, Hubei 445000, China","institution_ids":["https://openalex.org/I4210106563","https://openalex.org/I75900474"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100691996"],"corresponding_institution_ids":["https://openalex.org/I4210106563","https://openalex.org/I75900474"],"apc_list":{"value":1050,"currency":"USD","value_usd":1050},"apc_paid":{"value":1050,"currency":"USD","value_usd":1050},"fwci":0.393,"has_fulltext":true,"cited_by_count":2,"citation_normalized_percentile":{"value":0.69335281,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2013","issue":null,"first_page":"1","last_page":"9"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},"topics":[{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9995999932289124,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9876999855041504,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9811000227928162,"subfield":{"id":"https://openalex.org/subfields/1803","display_name":"Management Science and Operations Research"},"field":{"id":"https://openalex.org/fields/18","display_name":"Decision Sciences"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.5952432751655579},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.46087151765823364},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4566355049610138},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3674159049987793},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.3370445668697357}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.5952432751655579},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.46087151765823364},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4566355049610138},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3674159049987793},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.3370445668697357}],"mesh":[],"locations_count":4,"locations":[{"id":"doi:10.1155/2013/716435","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/716435","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/716435.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},{"id":"pmh:oai:CULeuclid:euclid.jam/1394808013","is_oa":false,"landing_page_url":"https://projecteuclid.org/euclid.jam/1394808013","pdf_url":null,"source":{"id":"https://openalex.org/S4306400787","display_name":"Project Euclid (Cornell University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I205783295","host_organization_name":"Cornell University","host_organization_lineage":["https://openalex.org/I205783295"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":"Text"},{"id":"pmh:oai:RePEc:hin:jnljam:716435","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/JAM/2013/716435.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:e9357dc0f81c48478d5160fb66293b09","is_oa":false,"landing_page_url":"https://doaj.org/article/e9357dc0f81c48478d5160fb66293b09","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2013 (2013)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2013/716435","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2013/716435","pdf_url":"https://downloads.hindawi.com/journals/jam/2013/716435.pdf","source":{"id":"https://openalex.org/S190082376","display_name":"Journal of Applied Mathematics","issn_l":"1110-757X","issn":["1110-757X","1687-0042"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Journal of Applied Mathematics","raw_type":"journal-article"},"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G2796549271","display_name":null,"funder_award_id":"2012FFB01101","funder_id":"https://openalex.org/F4320322186","funder_display_name":"Natural Science Foundation of Hubei Province"},{"id":"https://openalex.org/G3210917974","display_name":null,"funder_award_id":"D20131903","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3692588682","display_name":null,"funder_award_id":"D20131903","funder_id":"https://openalex.org/F4320322186","funder_display_name":"Natural Science Foundation of Hubei Province"},{"id":"https://openalex.org/G4469584550","display_name":null,"funder_award_id":"2012FFB01101","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G4995204180","display_name":null,"funder_award_id":"61175055","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5910524040","display_name":null,"funder_award_id":"T201109","funder_id":"https://openalex.org/F4320322186","funder_display_name":"Natural Science Foundation of Hubei Province"},{"id":"https://openalex.org/G8060323794","display_name":null,"funder_award_id":"T201109","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G8924855526","display_name":null,"funder_award_id":"61175055","funder_id":"https://openalex.org/F4320322186","funder_display_name":"Natural Science Foundation of Hubei Province"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322186","display_name":"Natural Science Foundation of Hubei Province","ror":null}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2058883040.pdf","grobid_xml":"https://content.openalex.org/works/W2058883040.grobid-xml"},"referenced_works_count":21,"referenced_works":["https://openalex.org/W27787671","https://openalex.org/W165660778","https://openalex.org/W1513768854","https://openalex.org/W1721188858","https://openalex.org/W1983230689","https://openalex.org/W1987005259","https://openalex.org/W1993191985","https://openalex.org/W1996514120","https://openalex.org/W1998549077","https://openalex.org/W2008251849","https://openalex.org/W2012947421","https://openalex.org/W2019192743","https://openalex.org/W2031791047","https://openalex.org/W2043779178","https://openalex.org/W2072615155","https://openalex.org/W2075165632","https://openalex.org/W2079451252","https://openalex.org/W2290413133","https://openalex.org/W2912565176","https://openalex.org/W2913554400","https://openalex.org/W4205705262"],"related_works":["https://openalex.org/W2961085424","https://openalex.org/W4306674287","https://openalex.org/W3046775127","https://openalex.org/W3107602296","https://openalex.org/W3170094116","https://openalex.org/W4386462264","https://openalex.org/W4313488044","https://openalex.org/W3209574120","https://openalex.org/W4312192474","https://openalex.org/W4210805261"],"abstract_inverted_index":{"The":[0],"notion":[1],"of":[2,7,15,18,42],"falling":[3,19,32,43],"fuzzy<mml:math":[4,28,33,44],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[5,29,34,45,50],"id=\"M1\"><mml:mrow><mml:mi>h</mml:mi></mml:mrow></mml:math>-ideals":[6],"a":[8],"hemiring":[9],"is":[10],"introduced":[11],"on":[12,56],"the":[13,16,25,47],"basis":[14],"theory":[17],"shadows":[20],"and":[21,31],"fuzzy":[22],"sets.":[23],"Then":[24],"relations":[26],"between":[27],"id=\"M2\"><mml:mrow><mml:mi>h</mml:mi></mml:mrow></mml:math>-ideals":[30],"id=\"M3\"><mml:mrow><mml:mi>h</mml:mi></mml:mrow></mml:math>-ideals":[35],"are":[36,53],"described.":[37],"In":[38],"particular,":[39],"by":[40],"means":[41],"id=\"M4\"><mml:mrow><mml:mi>h</mml:mi></mml:mrow></mml:math>-ideals,":[46],"charac-terizations":[48],"of<mml:math":[49],"id=\"M5\"><mml:mrow><mml:mi>h</mml:mi></mml:mrow></mml:math>-hemiregular":[51],"hemirings":[52],"investigated":[54],"based":[55],"independent":[57],"(prefect":[58],"positive":[59],"correlation)":[60],"probability":[61],"spaces.":[62]},"counts_by_year":[{"year":2021,"cited_by_count":1},{"year":2014,"cited_by_count":1}],"updated_date":"2026-07-31T08:31:51.225901","created_date":"2025-10-10T00:00:00"}
