{"id":"https://openalex.org/W3042394741","doi":"https://doi.org/10.1007/s00500-020-05136-8","title":"$$\\alpha $$-Paramodulation method for a lattice-valued logic $$L_nF(X)$$ with equality","display_name":"$$\\alpha $$-Paramodulation method for a lattice-valued logic $$L_nF(X)$$ with equality","publication_year":2020,"publication_date":"2020-07-15","ids":{"openalex":"https://openalex.org/W3042394741","doi":"https://doi.org/10.1007/s00500-020-05136-8","mag":"3042394741"},"language":"en","primary_location":{"id":"doi:10.1007/s00500-020-05136-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-020-05136-8","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":true,"oa_status":"green","oa_url":"https://pure.ulster.ac.uk/ws/files/79929395/SOCO_Accepted_Version.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5101908584","display_name":"Xingxing He","orcid":"https://orcid.org/0000-0003-0574-8440"},"institutions":[{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Xingxing He","raw_affiliation_strings":["School of Mathematics, Southwest Jiaotong University, Chengdu, 610031, Sichuan, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Southwest Jiaotong University, Chengdu, 610031, Sichuan, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4800084"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5014490044","display_name":"Yang Xu","orcid":"https://orcid.org/0000-0002-0958-8547"},"institutions":[{"id":"https://openalex.org/I4800084","display_name":"Southwest Jiaotong University","ror":"https://ror.org/00hn7w693","country_code":"CN","type":"education","lineage":["https://openalex.org/I4800084"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Yang Xu","raw_affiliation_strings":["School of Mathematics, Southwest Jiaotong University, Chengdu, 610031, Sichuan, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Mathematics, Southwest Jiaotong University, Chengdu, 610031, Sichuan, People\u2019s Republic of China","institution_ids":["https://openalex.org/I4800084"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5100361707","display_name":"Jun Liu","orcid":"https://orcid.org/0000-0001-8859-5405"},"institutions":[{"id":"https://openalex.org/I138801177","display_name":"University of Ulster","ror":"https://ror.org/01yp9g959","country_code":"GB","type":"education","lineage":["https://openalex.org/I138801177"]}],"countries":["GB"],"is_corresponding":false,"raw_author_name":"Jun Liu","raw_affiliation_strings":["School of Computing, University of Ulster, Belfast, Northern Ireland, UK"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Computing, University of Ulster, Belfast, Northern Ireland, UK","institution_ids":["https://openalex.org/I138801177"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5033203117","display_name":"Yingfang Li","orcid":"https://orcid.org/0000-0001-5557-1159"},"institutions":[{"id":"https://openalex.org/I204831749","display_name":"Southwestern University of Finance and Economics","ror":"https://ror.org/04ewct822","country_code":"CN","type":"education","lineage":["https://openalex.org/I204831749"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yingfang Li","raw_affiliation_strings":["School of Economics Information Engineering, Southwestern University of Finance and Economics, Chengdu, 611130, Sichuan, People\u2019s Republic of China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Economics Information Engineering, Southwestern University of Finance and Economics, Chengdu, 611130, Sichuan, People\u2019s Republic of China","institution_ids":["https://openalex.org/I204831749"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":3,"corresponding_author_ids":["https://openalex.org/A5033203117"],"corresponding_institution_ids":["https://openalex.org/I204831749"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09619203,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"25","issue":"1","first_page":"251","last_page":"261"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9965000152587891,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9965000152587891,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9957000017166138,"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":0.9868000149726868,"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/soundness","display_name":"Soundness","score":0.8474326729774475},{"id":"https://openalex.org/keywords/axiom","display_name":"Axiom","score":0.6541481614112854},{"id":"https://openalex.org/keywords/combinatory-logic","display_name":"Combinatory logic","score":0.6156796813011169},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5629966855049133},{"id":"https://openalex.org/keywords/automated-theorem-proving","display_name":"Automated theorem proving","score":0.5591280460357666},{"id":"https://openalex.org/keywords/automated-reasoning","display_name":"Automated reasoning","score":0.5171077251434326},{"id":"https://openalex.org/keywords/completeness","display_name":"Completeness (order theory)","score":0.49991393089294434},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.4682784080505371},{"id":"https://openalex.org/keywords/equivalence-relation","display_name":"Equivalence relation","score":0.46135613322257996},{"id":"https://openalex.org/keywords/alpha","display_name":"Alpha (finance)","score":0.4496708810329437},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.36810174584388733},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.33121755719184875},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.306742787361145},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.30103427171707153},{"id":"https://openalex.org/keywords/programming-language","display_name":"Programming language","score":0.2391611933708191}],"concepts":[{"id":"https://openalex.org/C39920170","wikidata":"https://www.wikidata.org/wiki/Q693083","display_name":"Soundness","level":2,"score":0.8474326729774475},{"id":"https://openalex.org/C167729594","wikidata":"https://www.wikidata.org/wiki/Q17736","display_name":"Axiom","level":2,"score":0.6541481614112854},{"id":"https://openalex.org/C79678938","wikidata":"https://www.wikidata.org/wiki/Q1481571","display_name":"Combinatory logic","level":2,"score":0.6156796813011169},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5629966855049133},{"id":"https://openalex.org/C206880738","wikidata":"https://www.wikidata.org/wiki/Q431667","display_name":"Automated theorem proving","level":2,"score":0.5591280460357666},{"id":"https://openalex.org/C195344581","wikidata":"https://www.wikidata.org/wiki/Q2555318","display_name":"Automated reasoning","level":2,"score":0.5171077251434326},{"id":"https://openalex.org/C17231256","wikidata":"https://www.wikidata.org/wiki/Q5156540","display_name":"Completeness (order theory)","level":2,"score":0.49991393089294434},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.4682784080505371},{"id":"https://openalex.org/C156103551","wikidata":"https://www.wikidata.org/wiki/Q130998","display_name":"Equivalence relation","level":2,"score":0.46135613322257996},{"id":"https://openalex.org/C64943373","wikidata":"https://www.wikidata.org/wiki/Q2651003","display_name":"Alpha (finance)","level":4,"score":0.4496708810329437},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.36810174584388733},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.33121755719184875},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.306742787361145},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.30103427171707153},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.2391611933708191},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.0},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.0},{"id":"https://openalex.org/C171606756","wikidata":"https://www.wikidata.org/wiki/Q506132","display_name":"Psychometrics","level":2,"score":0.0},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C49453240","wikidata":"https://www.wikidata.org/wiki/Q1592163","display_name":"Construct validity","level":3,"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":3,"locations":[{"id":"doi:10.1007/s00500-020-05136-8","is_oa":false,"landing_page_url":"https://doi.org/10.1007/s00500-020-05136-8","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"},{"id":"pmh:oai:pure.atira.dk:publications/cf1d386a-ed18-49cf-a235-6cd58ab85b45","is_oa":true,"landing_page_url":"http://www.scopus.com/inward/record.url?scp=85087929691&partnerID=8YFLogxK","pdf_url":"https://pure.ulster.ac.uk/ws/files/79929395/SOCO_Accepted_Version.pdf","source":{"id":"https://openalex.org/S4306402454","display_name":"Ulster University Research Portal (Ulster University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138801177","host_organization_name":"University of Ulster","host_organization_lineage":["https://openalex.org/I138801177"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"He, X, Xu, Y, Liu, J & Li, Y 2020, '\u03b1 -Paramodulation method for a lattice-valued logic L n F(X) with equality', Soft Computing, vol. 25, no. 1, pp. 251-261. https://doi.org/10.1007/s00500-020-05136-8","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:pure.atira.dk:openaire/cf1d386a-ed18-49cf-a235-6cd58ab85b45","is_oa":true,"landing_page_url":"https://pure.ulster.ac.uk/en/publications/cf1d386a-ed18-49cf-a235-6cd58ab85b45","pdf_url":null,"source":{"id":"https://openalex.org/S4306402454","display_name":"Ulster University Research Portal (Ulster University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138801177","host_organization_name":"University of Ulster","host_organization_lineage":["https://openalex.org/I138801177"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"He, X, Xu, Y, Liu, J & Li, Y 2020, '\u03b1 -Paramodulation method for a lattice-valued logic L n F(X) with equality', Soft Computing, vol. 25, no. 1, pp. 251-261. https://doi.org/10.1007/s00500-020-05136-8","raw_type":"info:eu-repo/semantics/article"}],"best_oa_location":{"id":"pmh:oai:pure.atira.dk:publications/cf1d386a-ed18-49cf-a235-6cd58ab85b45","is_oa":true,"landing_page_url":"http://www.scopus.com/inward/record.url?scp=85087929691&partnerID=8YFLogxK","pdf_url":"https://pure.ulster.ac.uk/ws/files/79929395/SOCO_Accepted_Version.pdf","source":{"id":"https://openalex.org/S4306402454","display_name":"Ulster University Research Portal (Ulster University)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I138801177","host_organization_name":"University of Ulster","host_organization_lineage":["https://openalex.org/I138801177"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"He, X, Xu, Y, Liu, J & Li, Y 2020, '\u03b1 -Paramodulation method for a lattice-valued logic L n F(X) with equality', Soft Computing, vol. 25, no. 1, pp. 251-261. https://doi.org/10.1007/s00500-020-05136-8","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[{"score":0.8500000238418579,"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions"}],"awards":[{"id":"https://openalex.org/G2400924949","display_name":null,"funder_award_id":"61305074","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G3525548109","display_name":null,"funder_award_id":"61673320","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G5163092754","display_name":null,"funder_award_id":"61603307","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"},{"id":"https://openalex.org/G7365172496","display_name":null,"funder_award_id":"61473239","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320322724","display_name":"Ministry of Education, India","ror":"https://ror.org/048xjjh50"}],"has_content":{"pdf":true,"grobid_xml":true},"content_urls":{"pdf":"https://content.openalex.org/works/W3042394741.pdf","grobid_xml":"https://content.openalex.org/works/W3042394741.grobid-xml"},"referenced_works_count":36,"referenced_works":["https://openalex.org/W8060374","https://openalex.org/W15652953","https://openalex.org/W29242681","https://openalex.org/W1507112684","https://openalex.org/W1516153826","https://openalex.org/W1530765221","https://openalex.org/W1539056180","https://openalex.org/W1546970449","https://openalex.org/W1551340995","https://openalex.org/W1780472831","https://openalex.org/W1966048066","https://openalex.org/W1976475080","https://openalex.org/W1981472242","https://openalex.org/W1983381099","https://openalex.org/W1984923536","https://openalex.org/W2000837802","https://openalex.org/W2019880039","https://openalex.org/W2041375296","https://openalex.org/W2049403762","https://openalex.org/W2067259733","https://openalex.org/W2100738443","https://openalex.org/W2104119803","https://openalex.org/W2166100649","https://openalex.org/W2223298233","https://openalex.org/W2490841184","https://openalex.org/W2498912203","https://openalex.org/W2534134512","https://openalex.org/W2538309563","https://openalex.org/W2622281683","https://openalex.org/W2808325100","https://openalex.org/W2914834504","https://openalex.org/W2922801452","https://openalex.org/W2989271208","https://openalex.org/W3006050351","https://openalex.org/W3010230113","https://openalex.org/W3102235081"],"related_works":["https://openalex.org/W2272231869","https://openalex.org/W47107507","https://openalex.org/W2093918239","https://openalex.org/W2020744295","https://openalex.org/W2969740638","https://openalex.org/W2913968350","https://openalex.org/W197813433","https://openalex.org/W13297640","https://openalex.org/W2921114217","https://openalex.org/W1834745875"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-07-02T09:51:11.867554","created_date":"2020-07-23T00:00:00"}