{"id":"https://openalex.org/W2980238384","doi":"https://doi.org/10.1109/fuzz-ieee.2019.8858873","title":"In Its Usual Formulation, Fuzzy Computation Is, In General, NP-Hard, But a More Realistic Formulation Can Make It Feasible","display_name":"In Its Usual Formulation, Fuzzy Computation Is, In General, NP-Hard, But a More Realistic Formulation Can Make It Feasible","publication_year":2019,"publication_date":"2019-06-01","ids":{"openalex":"https://openalex.org/W2980238384","doi":"https://doi.org/10.1109/fuzz-ieee.2019.8858873","mag":"2980238384"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz-ieee.2019.8858873","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2019.8858873","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","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/A5047541010","display_name":"Martine Ceberio","orcid":"https://orcid.org/0000-0001-5680-1155"},"institutions":[{"id":"https://openalex.org/I164936912","display_name":"The University of Texas at El Paso","ror":"https://ror.org/04d5vba33","country_code":"US","type":"education","lineage":["https://openalex.org/I164936912"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Martine Ceberio","raw_affiliation_strings":["Department of Computer Science, University of Texas at El Paso, El Paso, Texas, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Texas at El Paso, El Paso, Texas, USA","institution_ids":["https://openalex.org/I164936912"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5075920182","display_name":"Olga Kosheleva","orcid":"https://orcid.org/0000-0003-2587-4209"},"institutions":[{"id":"https://openalex.org/I164936912","display_name":"The University of Texas at El Paso","ror":"https://ror.org/04d5vba33","country_code":"US","type":"education","lineage":["https://openalex.org/I164936912"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Olga Kosheleva","raw_affiliation_strings":["Department of Teacher Education, University of Texas at El Paso, El Paso, Texas, USA"],"affiliations":[{"raw_affiliation_string":"Department of Teacher Education, University of Texas at El Paso, El Paso, Texas, USA","institution_ids":["https://openalex.org/I164936912"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5061275811","display_name":"\u0412\u043b\u0430\u0434\u0438\u043a \u041a\u0440\u0435\u0439\u043d\u043e\u0432\u0438\u0447","orcid":"https://orcid.org/0000-0002-1244-1650"},"institutions":[{"id":"https://openalex.org/I164936912","display_name":"The University of Texas at El Paso","ror":"https://ror.org/04d5vba33","country_code":"US","type":"education","lineage":["https://openalex.org/I164936912"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Vladik Kreinovich","raw_affiliation_strings":["Department of Computer Science, University of Texas at El Paso, El Paso, Texas, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Texas at El Paso, El Paso, Texas, USA","institution_ids":["https://openalex.org/I164936912"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5086816268","display_name":"Luc Longpr\u00e9","orcid":null},"institutions":[{"id":"https://openalex.org/I164936912","display_name":"The University of Texas at El Paso","ror":"https://ror.org/04d5vba33","country_code":"US","type":"education","lineage":["https://openalex.org/I164936912"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Luc Longpre","raw_affiliation_strings":["Department of Computer Science, University of Texas at El Paso, El Paso, Texas, USA"],"affiliations":[{"raw_affiliation_string":"Department of Computer Science, University of Texas at El Paso, El Paso, Texas, USA","institution_ids":["https://openalex.org/I164936912"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5047541010"],"corresponding_institution_ids":["https://openalex.org/I164936912"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.12300415,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"2","issue":null,"first_page":"1","last_page":"6"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9861999750137329,"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"}},"topics":[{"id":"https://openalex.org/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.9861999750137329,"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/T10050","display_name":"Multi-Criteria Decision Making","score":0.9843999743461609,"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/T11596","display_name":"Constraint Satisfaction and Optimization","score":0.9793999791145325,"subfield":{"id":"https://openalex.org/subfields/1705","display_name":"Computer Networks and Communications"},"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/computation","display_name":"Computation","score":0.6467766165733337},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.6115792989730835},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5949629545211792},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.483592689037323},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.31902503967285156},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3018449544906616},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.16580086946487427}],"concepts":[{"id":"https://openalex.org/C45374587","wikidata":"https://www.wikidata.org/wiki/Q12525525","display_name":"Computation","level":2,"score":0.6467766165733337},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6115792989730835},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5949629545211792},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.483592689037323},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.31902503967285156},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3018449544906616},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.16580086946487427}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1109/fuzz-ieee.2019.8858873","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz-ieee.2019.8858873","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"2019 IEEE International Conference on Fuzzy Systems (FUZZ-IEEE)","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":33,"referenced_works":["https://openalex.org/W564030374","https://openalex.org/W1523311306","https://openalex.org/W1572450310","https://openalex.org/W1607548640","https://openalex.org/W1608467940","https://openalex.org/W1997196510","https://openalex.org/W2009543464","https://openalex.org/W2044222968","https://openalex.org/W2057066113","https://openalex.org/W2065704444","https://openalex.org/W2110667918","https://openalex.org/W2119795518","https://openalex.org/W2146934839","https://openalex.org/W2152951248","https://openalex.org/W2252579515","https://openalex.org/W2496338429","https://openalex.org/W2735808203","https://openalex.org/W2781044394","https://openalex.org/W2897130317","https://openalex.org/W2901943373","https://openalex.org/W2912565176","https://openalex.org/W4211007335","https://openalex.org/W4213009134","https://openalex.org/W4230541729","https://openalex.org/W4249816584","https://openalex.org/W4254931243","https://openalex.org/W4285719527","https://openalex.org/W4289127527","https://openalex.org/W4296927103","https://openalex.org/W4300127662","https://openalex.org/W4301881298","https://openalex.org/W6691471028","https://openalex.org/W6741318570"],"related_works":["https://openalex.org/W4391375266","https://openalex.org/W1979597421","https://openalex.org/W2007980826","https://openalex.org/W2051487156","https://openalex.org/W2061531152","https://openalex.org/W3002753104","https://openalex.org/W2077600819","https://openalex.org/W2142036596","https://openalex.org/W2072657027","https://openalex.org/W2600246793"],"abstract_inverted_index":{"In":[0,77],"many":[1],"practical":[2],"situations,":[3],"we":[4,16,35,89,145,174],"cannot":[5,17],"directly":[6,18],"measure":[7,19,36],"or":[8,25,37],"estimate":[9,38,74],"the":[10,20,26,32,60,108,163,198],"desired":[11,33],"quantity":[12],"y":[13],"\u2013":[14,114,154,187],"e.g.,":[15],"distance":[21],"to":[22,55,63,125,132],"a":[23,147],"star":[24],"next":[27],"week\u2019s":[28],"temperature.":[29],"To":[30,141],"provide":[31],"estimate,":[34],"easier-to-measure":[39],"quantities":[40],"x":[41,48,68,80,169,183],"<inf":[42,49,69,81,170,184],"xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"":[43,50,70,82,171,185],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">1</inf>":[44],",":[45,47,173],"\u2026":[46],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">n</inf>":[51],"which":[52,115,156],"are":[53,84],"related":[54],"y,":[56],"and":[57],"then":[58],"use":[59],"known":[61,85],"relation":[62],"transform":[64],"our":[65],"estimates":[66],"for":[67,75,101,167,180],"xmlns:xlink=\"http://www.w3.org/1999/xlink\">i</inf>":[71,83,172,186],"into":[72],"an":[73,159],"y.":[76],"situations":[78],"when":[79],"with":[86,99],"fuzzy":[87,92,102,135,152,201],"uncertainty,":[88],"thus":[90],"need":[91],"computation.":[93,103],"Zadeh\u2019s":[94],"extension":[95],"principle":[96],"provides":[97],"us":[98],"formulas":[100],"The":[104],"challenge":[105],"is":[106,112,129],"that":[107,162,177,194],"resulting":[109],"computational":[110],"problem":[111,199],"NP-hard":[113],"means":[116],"that,":[117],"unless":[118],"P=NP":[119],"(which":[120],"most":[121],"computer":[122],"scientists":[123],"consider":[124],"be":[126],"impossible),":[127],"it":[128],"not":[130],"possible":[131],"solve":[133],"all":[134,168,182],"computation":[136,153,202],"problems":[137],"in":[138,155,188],"feasible":[139],"time.":[140],"overcome":[142],"this":[143,196],"challenge,":[144],"propose":[146],"more":[148],"realistic":[149],"formalization":[150],"of":[151,158,200],"instead":[157],"un-realistic":[160],"requirement":[161],"corresponding":[164],"properties":[165],"hold":[166,179],"only":[175],"require":[176],"they":[178],"almost":[181],"some":[189],"reasonable":[190],"sense.":[191],"We":[192],"show":[193],"under":[195],"modification,":[197],"becomes":[203],"computationally":[204],"feasible.":[205]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
