{"id":"https://openalex.org/W2131594833","doi":"https://doi.org/10.1109/fuzzy.2009.5277362","title":"Lattice-valued fuzzy turing machines and their computing power","display_name":"Lattice-valued fuzzy turing machines and their computing power","publication_year":2009,"publication_date":"2009-08-01","ids":{"openalex":"https://openalex.org/W2131594833","doi":"https://doi.org/10.1109/fuzzy.2009.5277362","mag":"2131594833"},"language":"en","primary_location":{"id":"doi:10.1109/fuzzy.2009.5277362","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2009.5277362","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Fuzzy Systems","raw_type":"proceedings-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/A5115604557","display_name":"Yongming Li","orcid":"https://orcid.org/0000-0001-8038-008X"},"institutions":[{"id":"https://openalex.org/I88830068","display_name":"Shaanxi Normal University","ror":"https://ror.org/0170z8493","country_code":"CN","type":"education","lineage":["https://openalex.org/I88830068"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Yongming Li","raw_affiliation_strings":["College of Computer Science, Shaanxi Normal University, Xi'an, China","College of Computer Science, Shaanxi Normal University, Xi\u2019an 710062 (China)"],"affiliations":[{"raw_affiliation_string":"College of Computer Science, Shaanxi Normal University, Xi'an, China","institution_ids":["https://openalex.org/I88830068"]},{"raw_affiliation_string":"College of Computer Science, Shaanxi Normal University, Xi\u2019an 710062 (China)","institution_ids":["https://openalex.org/I88830068"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5115604557"],"corresponding_institution_ids":["https://openalex.org/I88830068"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16529857,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"156","issue":null,"first_page":"1650","last_page":"1655"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9991000294685364,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9991000294685364,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9977999925613403,"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/T11567","display_name":"semigroups and automata theory","score":0.9768999814987183,"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/turing-machine","display_name":"Turing machine","score":0.6426445245742798},{"id":"https://openalex.org/keywords/time-hierarchy-theorem","display_name":"Time hierarchy theorem","score":0.637866735458374},{"id":"https://openalex.org/keywords/universal-turing-machine","display_name":"Universal Turing machine","score":0.5593516230583191},{"id":"https://openalex.org/keywords/super-recursive-algorithm","display_name":"Super-recursive algorithm","score":0.5251833200454712},{"id":"https://openalex.org/keywords/nspace","display_name":"NSPACE","score":0.5214825868606567},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.44649261236190796},{"id":"https://openalex.org/keywords/turing-machine-examples","display_name":"Turing machine examples","score":0.43739962577819824},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.43729519844055176},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.4365863800048828},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.42151832580566406},{"id":"https://openalex.org/keywords/probabilistic-turing-machine","display_name":"Probabilistic Turing machine","score":0.4156743884086609},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3779293894767761},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.35704126954078674},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.3104899823665619},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24805128574371338},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.09236720204353333},{"id":"https://openalex.org/keywords/computation","display_name":"Computation","score":0.07761305570602417}],"concepts":[{"id":"https://openalex.org/C29248071","wikidata":"https://www.wikidata.org/wiki/Q163310","display_name":"Turing machine","level":3,"score":0.6426445245742798},{"id":"https://openalex.org/C48415503","wikidata":"https://www.wikidata.org/wiki/Q5251122","display_name":"Time hierarchy theorem","level":5,"score":0.637866735458374},{"id":"https://openalex.org/C131671149","wikidata":"https://www.wikidata.org/wiki/Q2703890","display_name":"Universal Turing machine","level":4,"score":0.5593516230583191},{"id":"https://openalex.org/C31402856","wikidata":"https://www.wikidata.org/wiki/Q5295939","display_name":"Super-recursive algorithm","level":5,"score":0.5251833200454712},{"id":"https://openalex.org/C201958364","wikidata":"https://www.wikidata.org/wiki/Q1756295","display_name":"NSPACE","level":5,"score":0.5214825868606567},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.44649261236190796},{"id":"https://openalex.org/C21176728","wikidata":"https://www.wikidata.org/wiki/Q7854963","display_name":"Turing machine examples","level":5,"score":0.43739962577819824},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.43729519844055176},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.4365863800048828},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.42151832580566406},{"id":"https://openalex.org/C144271403","wikidata":"https://www.wikidata.org/wiki/Q1191836","display_name":"Probabilistic Turing machine","level":5,"score":0.4156743884086609},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3779293894767761},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.35704126954078674},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.3104899823665619},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24805128574371338},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.09236720204353333},{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.07761305570602417},{"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:10.1109/fuzzy.2009.5277362","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2009.5277362","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2009 IEEE International Conference on Fuzzy Systems","raw_type":"proceedings-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":29,"referenced_works":["https://openalex.org/W645449947","https://openalex.org/W1569419053","https://openalex.org/W1975037151","https://openalex.org/W1993688167","https://openalex.org/W1999167901","https://openalex.org/W2002089154","https://openalex.org/W2008823310","https://openalex.org/W2011526622","https://openalex.org/W2026220857","https://openalex.org/W2033216491","https://openalex.org/W2056414301","https://openalex.org/W2080187126","https://openalex.org/W2110182592","https://openalex.org/W2111568603","https://openalex.org/W2116337606","https://openalex.org/W2129853986","https://openalex.org/W2164645885","https://openalex.org/W2167611928","https://openalex.org/W2169084460","https://openalex.org/W2330022088","https://openalex.org/W2913452116","https://openalex.org/W2914019270","https://openalex.org/W3047122219","https://openalex.org/W4212771256","https://openalex.org/W4213377363","https://openalex.org/W4232277851","https://openalex.org/W4255417137","https://openalex.org/W4302339081","https://openalex.org/W6684230336"],"related_works":["https://openalex.org/W1662868588","https://openalex.org/W3014863312","https://openalex.org/W195780958","https://openalex.org/W1760285719","https://openalex.org/W2547364878","https://openalex.org/W2156308118","https://openalex.org/W293759077","https://openalex.org/W2070488416","https://openalex.org/W2341138125","https://openalex.org/W1526857708"],"abstract_inverted_index":{"In":[0],"this":[1],"paper,":[2],"fuzzy":[3,16,26,36,58,73,91,122,140,164],"Turing":[4,17,27,37,65,74,92,123,141,165],"machines":[5,38,75,93],"with":[6,63,130,169],"membership":[7],"degrees":[8],"in":[9,30,80,96,144],"distributive":[10,128],"lattices,":[11],"which":[12],"are":[13,19,42,51],"called":[14],"lattice-valued":[15,25,35,72,121,163],"machines,":[18,28],"studied.":[20],"First":[21],"several":[22],"formulations":[23],"of":[24,57,83,90,118],"including":[29],"particular":[31],"deterministic":[32],"and":[33,40,49,85,112],"nondeterministic":[34],"(l-DTMcs":[39],"l-NTMs),":[41],"given.":[43],"It":[44],"is":[45,69,94,101,109,135,155],"shown":[46,70],"that":[47,71,103,137,159],"l-DTMcs":[48],"l-NTMs":[50],"not":[52],"equivalent":[53],"as":[54],"the":[55,81,87,97,104,116,170],"acceptors":[56],"languages.":[59],"This":[60,148],"contrasts":[61],"sharply":[62],"classical":[64],"machines.":[66],"Second,":[67],"it":[68,100,134,168],"can":[76,160],"recognize":[77],"n-r.e.":[78],"sets":[79],"sense":[82],"Bedregal":[84],"Figueira,":[86],"super-computing":[88],"power":[89],"established":[95],"lattice-setting.":[98],"Third,":[99],"demonstrated":[102],"truth-valued":[105],"lattice":[106,129],"being":[107],"finite":[108],"a":[110,119,131,138,156],"necessary":[111],"sufficient":[113],"condition":[114],"for":[115,150],"existence":[117],"universal":[120,139,157],"machine.":[124],"For":[125],"an":[126,145],"infinite":[127],"compact":[132],"metric,":[133],"declared":[136],"machine":[142,158,166],"exists":[143],"approximate":[146],"sense.":[147],"means,":[149],"any":[151,162],"prescribed":[152],"accuracy,":[153],"there":[154],"simulate":[161],"on":[167],"given":[171],"accuracy.":[172]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
