{"id":"https://openalex.org/W2028789910","doi":"https://doi.org/10.1155/2012/425890","title":"(\u03bb, \u03bc)\u2010Fuzzy Version of Ideals, Interior Ideals, Quasi\u2010Ideals, and Bi\u2010Ideals","display_name":"(\u03bb, \u03bc)\u2010Fuzzy Version of Ideals, Interior Ideals, Quasi\u2010Ideals, and Bi\u2010Ideals","publication_year":2012,"publication_date":"2012-01-01","ids":{"openalex":"https://openalex.org/W2028789910","doi":"https://doi.org/10.1155/2012/425890","mag":"2028789910"},"language":"en","primary_location":{"id":"doi:10.1155/2012/425890","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/425890","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/425890.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/2012/425890.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5089218717","display_name":"Yuming Feng","orcid":"https://orcid.org/0000-0003-0465-3925"},"institutions":[{"id":"https://openalex.org/I50180762","display_name":"Chongqing Three Gorges University","ror":"https://ror.org/05rs3pv16","country_code":"CN","type":"education","lineage":["https://openalex.org/I50180762"]},{"id":"https://openalex.org/I129043915","display_name":"University of Udine","ror":"https://ror.org/05ht0mh31","country_code":"IT","type":"education","lineage":["https://openalex.org/I129043915"]}],"countries":["CN","IT"],"is_corresponding":true,"raw_author_name":"Yuming Feng","raw_affiliation_strings":["College of Mathematics and Computer Science, Chongqing Three Gorges University, Wanzhou, Chongqing 404100, China","Dipartimento di Matematica e Informatica, Universit Degli Studi di Udine, Via delle Scienze 206, 33100 Udine, Italy","Dipartimento di Matematica e Informatica, Universit\u00e0 Degli Studi di Udine, Via delle Scienze 206, 33100 Udine","College of Mathematics and Computer Science, Chongqing Three Gorges University, Wanzhou, Chongqing 404100"],"affiliations":[{"raw_affiliation_string":"College of Mathematics and Computer Science, Chongqing Three Gorges University, Wanzhou, Chongqing 404100, China","institution_ids":["https://openalex.org/I50180762"]},{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, Universit Degli Studi di Udine, Via delle Scienze 206, 33100 Udine, Italy","institution_ids":["https://openalex.org/I129043915"]},{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, Universit\u00e0 Degli Studi di Udine, Via delle Scienze 206, 33100 Udine","institution_ids":["https://openalex.org/I129043915"]},{"raw_affiliation_string":"College of Mathematics and Computer Science, Chongqing Three Gorges University, Wanzhou, Chongqing 404100","institution_ids":["https://openalex.org/I50180762"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086138745","display_name":"P. Corsini","orcid":"https://orcid.org/0009-0000-5672-1825"},"institutions":[{"id":"https://openalex.org/I129043915","display_name":"University of Udine","ror":"https://ror.org/05ht0mh31","country_code":"IT","type":"education","lineage":["https://openalex.org/I129043915"]}],"countries":["IT"],"is_corresponding":false,"raw_author_name":"P. Corsini","raw_affiliation_strings":["Dipartimento di Matematica e Informatica, Universit Degli Studi di Udine, Via delle Scienze 206, 33100 Udine, Italy","Dipartimento di Matematica e Informatica, Universit\u00e0 Degli Studi di Udine, Via delle Scienze 206, 33100 Udine"],"affiliations":[{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, Universit Degli Studi di Udine, Via delle Scienze 206, 33100 Udine, Italy","institution_ids":["https://openalex.org/I129043915"]},{"raw_affiliation_string":"Dipartimento di Matematica e Informatica, Universit\u00e0 Degli Studi di Udine, Via delle Scienze 206, 33100 Udine","institution_ids":["https://openalex.org/I129043915"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5089218717"],"corresponding_institution_ids":["https://openalex.org/I129043915","https://openalex.org/I50180762"],"apc_list":{"value":1025,"currency":"USD","value_usd":1025},"apc_paid":{"value":1025,"currency":"USD","value_usd":1025},"fwci":0.8279,"has_fulltext":true,"cited_by_count":4,"citation_normalized_percentile":{"value":0.76397825,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"2012","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9993000030517578,"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":0.9993000030517578,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.993399977684021,"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"}},{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9828000068664551,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.4529534578323364},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.4527112543582916},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4463565945625305},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4213697612285614},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3628406524658203},{"id":"https://openalex.org/keywords/machine-learning","display_name":"Machine learning","score":0.34030255675315857}],"concepts":[{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.4529534578323364},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.4527112543582916},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4463565945625305},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4213697612285614},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3628406524658203},{"id":"https://openalex.org/C119857082","wikidata":"https://www.wikidata.org/wiki/Q2539","display_name":"Machine learning","level":1,"score":0.34030255675315857}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2012/425890","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/425890","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/425890.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/1355495049","is_oa":false,"landing_page_url":"http://projecteuclid.org/euclid.jam/1355495049","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:doaj.org/article:3cbdccdb16ab47058d9f9697e405e398","is_oa":true,"landing_page_url":"https://doaj.org/article/3cbdccdb16ab47058d9f9697e405e398","pdf_url":null,"source":{"id":"https://openalex.org/S112646816","display_name":"SHILAP Revista de lepidopterolog\u00eda","issn_l":"0300-5267","issn":["0300-5267","2340-4078"],"is_oa":true,"is_in_doaj":true,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"journal"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Journal of Applied Mathematics, Vol 2012 (2012)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2012/425890","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2012/425890","pdf_url":"https://downloads.hindawi.com/journals/jam/2012/425890.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/G2032991844","display_name":null,"funder_award_id":"10QN-27","funder_id":"https://openalex.org/F4320324805","funder_display_name":"Chongqing Municipal Education Commission"},{"id":"https://openalex.org/G5869016328","display_name":null,"funder_award_id":"KJ111107","funder_id":"https://openalex.org/F4320324805","funder_display_name":"Chongqing Municipal Education Commission"},{"id":"https://openalex.org/G5997805642","display_name":null,"funder_award_id":"KJ111107","funder_id":"https://openalex.org/F4320321546","funder_display_name":"China Three Gorges University"},{"id":"https://openalex.org/G7298269710","display_name":null,"funder_award_id":"KJ091104","funder_id":"https://openalex.org/F4320321546","funder_display_name":"China Three Gorges University"},{"id":"https://openalex.org/G7508674263","display_name":null,"funder_award_id":"10QN-27","funder_id":"https://openalex.org/F4320321546","funder_display_name":"China Three Gorges University"},{"id":"https://openalex.org/G8631876726","display_name":null,"funder_award_id":"KJ091104","funder_id":"https://openalex.org/F4320324805","funder_display_name":"Chongqing Municipal Education Commission"}],"funders":[{"id":"https://openalex.org/F4320321546","display_name":"China Three Gorges University","ror":"https://ror.org/0419nfc77"},{"id":"https://openalex.org/F4320321550","display_name":"Chongqing Science and Technology Commission","ror":"https://ror.org/05w9erc61"},{"id":"https://openalex.org/F4320324805","display_name":"Chongqing Municipal Education Commission","ror":"https://ror.org/031nm5713"},{"id":"https://openalex.org/F4320324979","display_name":"Universit\u00e0 degli Studi di Udine","ror":null},{"id":"https://openalex.org/F4320330197","display_name":"Chongqing Three Gorges University","ror":"https://ror.org/05rs3pv16"},{"id":"https://openalex.org/F4320334990","display_name":"Center for Makro\u00f8kologi, Evolution og Klima","ror":"https://ror.org/035b05819"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2028789910.pdf","grobid_xml":"https://content.openalex.org/works/W2028789910.grobid-xml"},"referenced_works_count":15,"referenced_works":["https://openalex.org/W874100318","https://openalex.org/W1984050637","https://openalex.org/W1990262736","https://openalex.org/W1999225201","https://openalex.org/W2005247046","https://openalex.org/W2019885063","https://openalex.org/W2240444243","https://openalex.org/W2375014239","https://openalex.org/W2463393005","https://openalex.org/W2912565176","https://openalex.org/W2980589302","https://openalex.org/W3081926966","https://openalex.org/W6719578073","https://openalex.org/W6758652401","https://openalex.org/W7047295486"],"related_works":["https://openalex.org/W2961085424","https://openalex.org/W4306674287","https://openalex.org/W3046775127","https://openalex.org/W3107602296","https://openalex.org/W4394896187","https://openalex.org/W3170094116","https://openalex.org/W4386462264","https://openalex.org/W4364306694","https://openalex.org/W4312192474","https://openalex.org/W4283697347"],"abstract_inverted_index":{"We":[0],"introduced":[1],"(":[2,8,15,22],"\u03bb":[3,9,16,23,36],",":[4,10,17,24],"\u03bc":[5,11,18,25,40],")\u2010fuzzy":[6,12,19,26],"ideals,":[7,14],"interior":[13],"quasi\u2010ideals,":[20],"and":[21,32,39,59,63,66],"bi\u2010ideals":[27],"of":[28,57],"an":[29],"ordered":[30],"semigroup":[31],"studied":[33],"them.":[34],"When":[35],"=":[37,41],"0":[38],"1,":[42],"we":[43],"meet":[44],"the":[45],"ordinary":[46],"fuzzy":[47],"ones.":[48],"This":[49],"paper":[50],"can":[51],"be":[52],"seen":[53],"as":[54],"a":[55],"generalization":[56],"Kehayopulu":[58,62],"Tsingelis":[60,64],"(2006),":[61],"(2007),":[65],"Yao":[67],"(2009).":[68]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-09T08:11:56.329763","created_date":"2016-06-24T00:00:00"}