{"id":"https://openalex.org/W2151030131","doi":"https://doi.org/10.1007/0-387-23152-8_20","title":"Research on Information Requirement of First-Order Universal Implication Operators in Fuzzy Reasoning","display_name":"Research on Information Requirement of First-Order Universal Implication Operators in Fuzzy Reasoning","publication_year":2006,"publication_date":"2006-01-19","ids":{"openalex":"https://openalex.org/W2151030131","doi":"https://doi.org/10.1007/0-387-23152-8_20","mag":"2151030131"},"language":"en","primary_location":{"id":"doi:10.1007/0-387-23152-8_20","is_oa":true,"landing_page_url":"https://doi.org/10.1007/0-387-23152-8_20","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F0-387-23152-8_20.pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IFIP International Federation for Information Processing","raw_type":"book-chapter"},"type":"book-chapter","indexed_in":["crossref"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://link.springer.com/content/pdf/10.1007%2F0-387-23152-8_20.pdf","any_repository_has_fulltext":null},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5102009912","display_name":"Lihua Fu","orcid":"https://orcid.org/0000-0003-1271-2518"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Lihua Fu","raw_affiliation_strings":["Department of Computer Science & Engineering, Northwestern Polytechnical University, Xi\u2019an, P.R. China","Department of Computer Science & Engineering, Northwestern Polytechnical University, Xi'an, P.R. China"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science & Engineering, Northwestern Polytechnical University, Xi\u2019an, P.R. China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"Department of Computer Science & Engineering, Northwestern Polytechnical University, Xi'an, P.R. China","institution_ids":["https://openalex.org/I17145004"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5066208156","display_name":"HE Hua-can","orcid":"https://orcid.org/0009-0001-3814-8049"},"institutions":[{"id":"https://openalex.org/I17145004","display_name":"Northwestern Polytechnical University","ror":"https://ror.org/01y0j0j86","country_code":"CN","type":"education","lineage":["https://openalex.org/I17145004"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Huacan He","raw_affiliation_strings":["Department of Computer Science & Engineering, Northwestern Polytechnical University, Xi\u2019an, P.R. China","Department of Computer Science & Engineering, Northwestern Polytechnical University, Xi'an, P.R. China"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science & Engineering, Northwestern Polytechnical University, Xi\u2019an, P.R. China","institution_ids":["https://openalex.org/I17145004"]},{"raw_affiliation_string":"Department of Computer Science & Engineering, Northwestern Polytechnical University, Xi'an, P.R. China","institution_ids":["https://openalex.org/I17145004"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5102009912"],"corresponding_institution_ids":["https://openalex.org/I17145004"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.18529708,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":null,"first_page":"153","last_page":"163"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.993399977684021,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.993399977684021,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.979200005531311,"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/T13734","display_name":"Advanced Computational Techniques and Applications","score":0.9718000292778015,"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/correlative","display_name":"Correlative","score":0.9312222599983215},{"id":"https://openalex.org/keywords/directive","display_name":"Directive","score":0.6290124654769897},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5837153196334839},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5483574867248535},{"id":"https://openalex.org/keywords/order","display_name":"Order (exchange)","score":0.4806760251522064},{"id":"https://openalex.org/keywords/meaning","display_name":"Meaning (existential)","score":0.43974265456199646},{"id":"https://openalex.org/keywords/measure","display_name":"Measure (data warehouse)","score":0.4354351758956909},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4308958053588867},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3643617630004883},{"id":"https://openalex.org/keywords/calculus","display_name":"Calculus (dental)","score":0.32483917474746704},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.25409016013145447},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21311703324317932},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.1854214370250702},{"id":"https://openalex.org/keywords/linguistics","display_name":"Linguistics","score":0.07384085655212402},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.05979561805725098},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.05282890796661377}],"concepts":[{"id":"https://openalex.org/C2776800370","wikidata":"https://www.wikidata.org/wiki/Q5172864","display_name":"Correlative","level":2,"score":0.9312222599983215},{"id":"https://openalex.org/C2779547435","wikidata":"https://www.wikidata.org/wiki/Q1121492","display_name":"Directive","level":2,"score":0.6290124654769897},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5837153196334839},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5483574867248535},{"id":"https://openalex.org/C182306322","wikidata":"https://www.wikidata.org/wiki/Q1779371","display_name":"Order (exchange)","level":2,"score":0.4806760251522064},{"id":"https://openalex.org/C2780876879","wikidata":"https://www.wikidata.org/wiki/Q3054749","display_name":"Meaning (existential)","level":2,"score":0.43974265456199646},{"id":"https://openalex.org/C2780009758","wikidata":"https://www.wikidata.org/wiki/Q6804172","display_name":"Measure (data warehouse)","level":2,"score":0.4354351758956909},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4308958053588867},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3643617630004883},{"id":"https://openalex.org/C2777686260","wikidata":"https://www.wikidata.org/wiki/Q144037","display_name":"Calculus (dental)","level":2,"score":0.32483917474746704},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.25409016013145447},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21311703324317932},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.1854214370250702},{"id":"https://openalex.org/C41895202","wikidata":"https://www.wikidata.org/wiki/Q8162","display_name":"Linguistics","level":1,"score":0.07384085655212402},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.05979561805725098},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.05282890796661377},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C199343813","wikidata":"https://www.wikidata.org/wiki/Q12128","display_name":"Dentistry","level":1,"score":0.0},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","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":2,"locations":[{"id":"doi:10.1007/0-387-23152-8_20","is_oa":true,"landing_page_url":"https://doi.org/10.1007/0-387-23152-8_20","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F0-387-23152-8_20.pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IFIP International Federation for Information Processing","raw_type":"book-chapter"},{"id":"mag:2505360686","is_oa":false,"landing_page_url":"https://ieeexplore.ieee.org/iel5/9768/30811/01426808.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S4306417741","display_name":"Asian Control Conference","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":"conference"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"Asian Control Conference","raw_type":null}],"best_oa_location":{"id":"doi:10.1007/0-387-23152-8_20","is_oa":true,"landing_page_url":"https://doi.org/10.1007/0-387-23152-8_20","pdf_url":"https://link.springer.com/content/pdf/10.1007%2F0-387-23152-8_20.pdf","source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"IFIP International Federation for Information Processing","raw_type":"book-chapter"},"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/10","score":0.47999998927116394,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2151030131.pdf","grobid_xml":"https://content.openalex.org/works/W2151030131.grobid-xml"},"referenced_works_count":17,"referenced_works":["https://openalex.org/W1898259180","https://openalex.org/W1970543424","https://openalex.org/W1975295543","https://openalex.org/W1997624024","https://openalex.org/W2000859003","https://openalex.org/W2009675748","https://openalex.org/W2015752826","https://openalex.org/W2065986912","https://openalex.org/W2075090033","https://openalex.org/W2089115438","https://openalex.org/W2117637871","https://openalex.org/W2349378723","https://openalex.org/W2387178515","https://openalex.org/W2391866672","https://openalex.org/W2496338429","https://openalex.org/W4239148722","https://openalex.org/W4285719527"],"related_works":["https://openalex.org/W105375074","https://openalex.org/W2339526560","https://openalex.org/W2387320793","https://openalex.org/W2352463546","https://openalex.org/W2350815377","https://openalex.org/W2807802103","https://openalex.org/W2381820961","https://openalex.org/W2492309942","https://openalex.org/W2548781572","https://openalex.org/W2366249940"],"abstract_inverted_index":{"Based":[0],"on":[1,14],"the":[2,12,16,22,31,50,67,70,88,91],"definition":[3],"of":[4,90],"linear":[5],"specificity":[6],"measure,":[7],"this":[8],"paper":[9],"discusses":[10],"detailedly":[11],"conditions":[13],"which":[15],"first-order":[17,45],"universal":[18,46],"implication":[19,47],"operators":[20,48,68],"satisfy":[21,49,69],"information":[23,51],"boundedness":[24,52],"principle":[25,53,71],"in":[26,96],"fuzzy":[27,35],"reasoning,":[28],"and":[29],"gets":[30],"corresponding":[32],"conclusion:":[33],"when":[34,62],"propositions":[36],"have":[37,64],"positive":[38],"measuring":[39],"errors":[40],"for":[41,84],"their":[42],"membership":[43],"grades,":[44],"only":[54,72],"if":[55,73],"they":[56,63,74],"are":[57,75],"rejecting":[58],"or":[59],"restraining":[60,76],"correlative;":[61],"negative":[65],"ones,":[66],"correlative.":[77],"This":[78],"conclusion":[79],"has":[80],"important":[81],"directive":[82],"meaning":[83],"how":[85],"to":[86],"give":[87],"value":[89],"general":[92],"correlative":[93],"coefficient":[94],"h":[95],"practical":[97],"control":[98],"application.":[99]},"counts_by_year":[],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}
