{"id":"https://openalex.org/W2076720384","doi":"https://doi.org/10.1142/s0218488594000328","title":"THE INVERSE PROBLEM OF THE AGGREGATION OF FUZZY SETS","display_name":"THE INVERSE PROBLEM OF THE AGGREGATION OF FUZZY SETS","publication_year":1994,"publication_date":"1994-12-01","ids":{"openalex":"https://openalex.org/W2076720384","doi":"https://doi.org/10.1142/s0218488594000328","mag":"2076720384"},"language":"en","primary_location":{"id":"doi:10.1142/s0218488594000328","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488594000328","pdf_url":null,"source":{"id":"https://openalex.org/S69518169","display_name":"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems","issn_l":"0218-4885","issn":["0218-4885","1793-6411"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems","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/A5090813412","display_name":"T. Arnould","orcid":null},"institutions":[{"id":"https://openalex.org/I4210108100","display_name":"Fuzzy Systems Institute","ror":"https://ror.org/01ykj2t23","country_code":"JP","type":"other","lineage":["https://openalex.org/I4210108100"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"THIERRY ARNOULD","raw_affiliation_strings":["Laboratory for International Fuzzy Engineering Research, Siber Hegner Building 4th Fl., Yamashita-Cho 89-1, Naka-Ku, Yokohama 231, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory for International Fuzzy Engineering Research, Siber Hegner Building 4th Fl., Yamashita-Cho 89-1, Naka-Ku, Yokohama 231, Japan","institution_ids":["https://openalex.org/I4210108100"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5109288294","display_name":"Shun\u2019ichi Tano","orcid":null},"institutions":[{"id":"https://openalex.org/I4210108100","display_name":"Fuzzy Systems Institute","ror":"https://ror.org/01ykj2t23","country_code":"JP","type":"other","lineage":["https://openalex.org/I4210108100"]}],"countries":["JP"],"is_corresponding":false,"raw_author_name":"SHUN'ICHI TANO","raw_affiliation_strings":["Laboratory for International Fuzzy Engineering Research, Siber Hegner Building 4th Fl., Yamashita-Cho 89-1, Naka-Ku, Yokohama 231, Japan"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Laboratory for International Fuzzy Engineering Research, Siber Hegner Building 4th Fl., Yamashita-Cho 89-1, Naka-Ku, Yokohama 231, Japan","institution_ids":["https://openalex.org/I4210108100"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I4210108100"],"apc_list":null,"apc_paid":null,"fwci":1.2049,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.80451448,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"02","issue":"04","first_page":"391","last_page":"415"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9688000082969666,"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":0.9688000082969666,"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/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.946399986743927,"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/mathematics","display_name":"Mathematics","score":0.5814195871353149},{"id":"https://openalex.org/keywords/inverse","display_name":"Inverse","score":0.566961407661438},{"id":"https://openalex.org/keywords/relevance","display_name":"Relevance (law)","score":0.5388635396957397},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5299637913703918},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.49137964844703674},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.4780586063861847},{"id":"https://openalex.org/keywords/exponential-function","display_name":"Exponential function","score":0.4423864185810089},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.42206746339797974},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.37743356823921204},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.36967766284942627},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2362358570098877}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5814195871353149},{"id":"https://openalex.org/C207467116","wikidata":"https://www.wikidata.org/wiki/Q4385666","display_name":"Inverse","level":2,"score":0.566961407661438},{"id":"https://openalex.org/C158154518","wikidata":"https://www.wikidata.org/wiki/Q7310970","display_name":"Relevance (law)","level":2,"score":0.5388635396957397},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5299637913703918},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.49137964844703674},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.4780586063861847},{"id":"https://openalex.org/C151376022","wikidata":"https://www.wikidata.org/wiki/Q168698","display_name":"Exponential function","level":2,"score":0.4423864185810089},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.42206746339797974},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.37743356823921204},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.36967766284942627},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2362358570098877},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218488594000328","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488594000328","pdf_url":null,"source":{"id":"https://openalex.org/S69518169","display_name":"International Journal of Uncertainty Fuzziness and Knowledge-Based Systems","issn_l":"0218-4885","issn":["0218-4885","1793-6411"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Uncertainty, Fuzziness and Knowledge-Based Systems","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W1486684451","https://openalex.org/W2087021805","https://openalex.org/W1505735190","https://openalex.org/W2166637398","https://openalex.org/W4388516489","https://openalex.org/W4361984403","https://openalex.org/W2335465146","https://openalex.org/W2066929655","https://openalex.org/W2026627598","https://openalex.org/W2116365436"],"abstract_inverted_index":{"The":[0,30,77],"inverse":[1],"problem":[2,67],"of":[3,6,13,16,32,35,55,71,74,79,90],"the":[4,11,14,22,27,33,51,56,66,69,80,87,91,96,107],"aggregation":[5,15,34],"fuzzy":[7,18,75],"sets":[8,19,54,99],"is":[9,24,38,45,61],"addressed:":[10],"result":[12],"several":[17],"being":[20],"known,":[21],"aim":[23],"to":[25,47,64,84,94,104],"determine":[26,48],"initial":[28],"sets.":[29,76],"case":[31,70],"two":[36],"premises":[37],"studied":[39],"first":[40],"and":[41,93],"a":[42],"rule-based":[43],"method":[44],"proposed":[46,63,81],"exactly":[49],"all":[50],"widest":[52,97],"solution":[53,98],"problem.":[57],"A":[58],"recurrent":[59],"algorithm":[60],"then":[62],"solve":[65],"in":[68],"any":[72],"number":[73],"relevance":[78],"criteria":[82],"enables":[83],"cope":[85],"with":[86],"exponential":[88],"complexity":[89],"problem,":[92],"define":[95],"only.":[100],"Examples":[101],"are":[102],"provided":[103],"illustrate":[105],"how":[106],"solving":[108],"algorithms":[109],"can":[110],"practically":[111],"be":[112],"applied.":[113]},"counts_by_year":[{"year":2013,"cited_by_count":1}],"updated_date":"2026-05-21T06:26:12.895304","created_date":"2025-10-10T00:00:00"}