{"id":"https://openalex.org/W1971217457","doi":"https://doi.org/10.1007/s00500-015-1620-x","title":"On state residuated lattices","display_name":"On state residuated lattices","publication_year":2015,"publication_date":"2015-03-05","ids":{"openalex":"https://openalex.org/W1971217457","doi":"https://doi.org/10.1007/s00500-015-1620-x","mag":"1971217457"},"language":"en","primary_location":{"id":"doi:10.1007/s00500-015-1620-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-015-1620-x","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","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/A5110497060","display_name":"Pengfei He","orcid":"https://orcid.org/0000-0002-9220-8639"},"institutions":[{"id":"https://openalex.org/I37802460","display_name":"Northwest University","ror":"https://ror.org/00z3td547","country_code":"CN","type":"education","lineage":["https://openalex.org/I37802460"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Pengfei He","raw_affiliation_strings":["College of Mathematics, Northwest University, Xi\u2019an, 710127, People\u2019s Republic of China","College of Mathematics, Northwest University, Xi'an, People's Republic of China 710127#TAB#"],"affiliations":[{"raw_affiliation_string":"College of Mathematics, Northwest University, Xi\u2019an, 710127, People\u2019s Republic of China","institution_ids":["https://openalex.org/I37802460"]},{"raw_affiliation_string":"College of Mathematics, Northwest University, Xi'an, People's Republic of China 710127#TAB#","institution_ids":["https://openalex.org/I37802460"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5024280083","display_name":"Xiaolong Xin","orcid":null},"institutions":[{"id":"https://openalex.org/I37802460","display_name":"Northwest University","ror":"https://ror.org/00z3td547","country_code":"CN","type":"education","lineage":["https://openalex.org/I37802460"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xiaolong Xin","raw_affiliation_strings":["College of Mathematics, Northwest University, Xi\u2019an, 710127, People\u2019s Republic of China","College of Mathematics, Northwest University, Xi'an, People's Republic of China 710127#TAB#"],"affiliations":[{"raw_affiliation_string":"College of Mathematics, Northwest University, Xi\u2019an, 710127, People\u2019s Republic of China","institution_ids":["https://openalex.org/I37802460"]},{"raw_affiliation_string":"College of Mathematics, Northwest University, Xi'an, People's Republic of China 710127#TAB#","institution_ids":["https://openalex.org/I37802460"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5101710557","display_name":"Yong Yang","orcid":"https://orcid.org/0000-0002-6775-1189"},"institutions":[{"id":"https://openalex.org/I37802460","display_name":"Northwest University","ror":"https://ror.org/00z3td547","country_code":"CN","type":"education","lineage":["https://openalex.org/I37802460"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yongwei Yang","raw_affiliation_strings":["College of Mathematics, Northwest University, Xi\u2019an, 710127, People\u2019s Republic of China","College of Mathematics, Northwest University, Xi'an, People's Republic of China 710127#TAB#"],"affiliations":[{"raw_affiliation_string":"College of Mathematics, Northwest University, Xi\u2019an, 710127, People\u2019s Republic of China","institution_ids":["https://openalex.org/I37802460"]},{"raw_affiliation_string":"College of Mathematics, Northwest University, Xi'an, People's Republic of China 710127#TAB#","institution_ids":["https://openalex.org/I37802460"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5110497060"],"corresponding_institution_ids":["https://openalex.org/I37802460"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":4.3654,"has_fulltext":false,"cited_by_count":32,"citation_normalized_percentile":{"value":0.94627092,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":94,"max":98},"biblio":{"volume":"19","issue":"8","first_page":"2083","last_page":"2094"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9955999851226807,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9812999963760376,"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/residuated-lattice","display_name":"Residuated lattice","score":0.8734237551689148},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6366339921951294},{"id":"https://openalex.org/keywords/state","display_name":"State (computer science)","score":0.5705893039703369},{"id":"https://openalex.org/keywords/algebraic-structure","display_name":"Algebraic structure","score":0.5697874426841736},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5083188414573669},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4684341847896576},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4653412103652954},{"id":"https://openalex.org/keywords/filter","display_name":"Filter (signal processing)","score":0.46356329321861267},{"id":"https://openalex.org/keywords/monoidal-t-norm-logic","display_name":"Monoidal t-norm logic","score":0.4374021887779236},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.338749498128891},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.19703692197799683},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.18167373538017273},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.15263554453849792},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.1010863184928894},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.08539822697639465},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07020440697669983},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.06878355145454407}],"concepts":[{"id":"https://openalex.org/C2781278839","wikidata":"https://www.wikidata.org/wiki/Q9462417","display_name":"Residuated lattice","level":3,"score":0.8734237551689148},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6366339921951294},{"id":"https://openalex.org/C48103436","wikidata":"https://www.wikidata.org/wiki/Q599031","display_name":"State (computer science)","level":2,"score":0.5705893039703369},{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.5697874426841736},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5083188414573669},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4684341847896576},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4653412103652954},{"id":"https://openalex.org/C106131492","wikidata":"https://www.wikidata.org/wiki/Q3072260","display_name":"Filter (signal processing)","level":2,"score":0.46356329321861267},{"id":"https://openalex.org/C98224912","wikidata":"https://www.wikidata.org/wiki/Q6901647","display_name":"Monoidal t-norm logic","level":5,"score":0.4374021887779236},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.338749498128891},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.19703692197799683},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.18167373538017273},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.15263554453849792},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.1010863184928894},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.08539822697639465},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07020440697669983},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.06878355145454407},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.0},{"id":"https://openalex.org/C31972630","wikidata":"https://www.wikidata.org/wiki/Q844240","display_name":"Computer vision","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007/s00500-015-1620-x","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-015-1620-x","pdf_url":null,"source":{"id":"https://openalex.org/S65753830","display_name":"Soft Computing","issn_l":"1432-7643","issn":["1432-7643","1433-7479"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Soft Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Climate action","score":0.4000000059604645,"id":"https://metadata.un.org/sdg/13"}],"awards":[],"funders":[{"id":"https://openalex.org/F4320306076","display_name":"National Science Foundation","ror":"https://ror.org/021nxhr62"}],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":25,"referenced_works":["https://openalex.org/W141096425","https://openalex.org/W270056808","https://openalex.org/W1483240043","https://openalex.org/W1503075583","https://openalex.org/W1504266994","https://openalex.org/W1525647423","https://openalex.org/W1967383777","https://openalex.org/W1989525411","https://openalex.org/W1997790336","https://openalex.org/W2003822008","https://openalex.org/W2012072427","https://openalex.org/W2016801912","https://openalex.org/W2026242842","https://openalex.org/W2047723833","https://openalex.org/W2071848866","https://openalex.org/W2078252652","https://openalex.org/W2083614943","https://openalex.org/W2088929107","https://openalex.org/W2091869275","https://openalex.org/W2097299615","https://openalex.org/W2110182592","https://openalex.org/W2163918365","https://openalex.org/W2429723507","https://openalex.org/W2475594644","https://openalex.org/W4213427446"],"related_works":["https://openalex.org/W1783029874","https://openalex.org/W1595640337","https://openalex.org/W2966036268","https://openalex.org/W169137922","https://openalex.org/W1968222062","https://openalex.org/W1487361824","https://openalex.org/W2103602076","https://openalex.org/W2083028880","https://openalex.org/W2164780241","https://openalex.org/W4311311562"],"abstract_inverted_index":null,"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":4},{"year":2021,"cited_by_count":7},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2},{"year":2018,"cited_by_count":5},{"year":2017,"cited_by_count":4},{"year":2016,"cited_by_count":3}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
