{"id":"https://openalex.org/W2111036010","doi":"https://doi.org/10.1142/s0218488504002977","title":"THE INTEGRAL OVER A DIRECTED LINE SEGMENT OF FUZZY MAPPING AND ITS APPLICATIONS","display_name":"THE INTEGRAL OVER A DIRECTED LINE SEGMENT OF FUZZY MAPPING AND ITS APPLICATIONS","publication_year":2004,"publication_date":"2004-08-01","ids":{"openalex":"https://openalex.org/W2111036010","doi":"https://doi.org/10.1142/s0218488504002977","mag":"2111036010"},"language":"en","primary_location":{"id":"doi:10.1142/s0218488504002977","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488504002977","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/A5100665885","display_name":"Guixiang Wang","orcid":"https://orcid.org/0000-0002-1748-4369"},"institutions":[{"id":"https://openalex.org/I4210110458","display_name":"Institute of Electronics","ror":"https://ror.org/01z143507","country_code":"CN","type":"facility","lineage":["https://openalex.org/I19820366","https://openalex.org/I4210110458"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"GUIXIANG WANG","raw_affiliation_strings":["Science School, Hangzhou Institute of Electronics Engineering, Hangzhou, 310018, People's Republic of China"],"affiliations":[{"raw_affiliation_string":"Science School, Hangzhou Institute of Electronics Engineering, Hangzhou, 310018, People's Republic of China","institution_ids":["https://openalex.org/I4210110458"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5103431484","display_name":"Congxin Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I204983213","display_name":"Harbin Institute of Technology","ror":"https://ror.org/01yqg2h08","country_code":"CN","type":"education","lineage":["https://openalex.org/I204983213"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"CONGXIN WU","raw_affiliation_strings":["Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, People's Republic of China","Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, People's Republic of China#TAB#"],"affiliations":[{"raw_affiliation_string":"Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, People's Republic of China","institution_ids":["https://openalex.org/I204983213"]},{"raw_affiliation_string":"Department of Mathematics, Harbin Institute of Technology, Harbin, 150001, People's Republic of China#TAB#","institution_ids":["https://openalex.org/I204983213"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5100665885"],"corresponding_institution_ids":["https://openalex.org/I4210110458"],"apc_list":null,"apc_paid":null,"fwci":1.5579,"has_fulltext":false,"cited_by_count":6,"citation_normalized_percentile":{"value":0.85325619,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"12","issue":"04","first_page":"543","last_page":"556"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":1.0,"subfield":{"id":"https://openalex.org/subfields/2613","display_name":"Statistics and Probability"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9972000122070312,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9926999807357788,"subfield":{"id":"https://openalex.org/subfields/2207","display_name":"Control and Systems Engineering"},"field":{"id":"https://openalex.org/fields/22","display_name":"Engineering"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/robustness","display_name":"Robustness (evolution)","score":0.7423049807548523},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.7164806127548218},{"id":"https://openalex.org/keywords/line-integral","display_name":"Line integral","score":0.6696914434432983},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4893045127391815},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.4561570882797241},{"id":"https://openalex.org/keywords/fuzzy-number","display_name":"Fuzzy number","score":0.45187658071517944},{"id":"https://openalex.org/keywords/line","display_name":"Line (geometry)","score":0.42065444588661194},{"id":"https://openalex.org/keywords/integral-equation","display_name":"Integral equation","score":0.3742693066596985},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.358493447303772},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.32428160309791565},{"id":"https://openalex.org/keywords/algorithm","display_name":"Algorithm","score":0.32144400477409363},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.2252504825592041},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.20574527978897095},{"id":"https://openalex.org/keywords/geometry","display_name":"Geometry","score":0.16858020424842834}],"concepts":[{"id":"https://openalex.org/C63479239","wikidata":"https://www.wikidata.org/wiki/Q7353546","display_name":"Robustness (evolution)","level":3,"score":0.7423049807548523},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.7164806127548218},{"id":"https://openalex.org/C75023562","wikidata":"https://www.wikidata.org/wiki/Q467699","display_name":"Line integral","level":3,"score":0.6696914434432983},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4893045127391815},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.4561570882797241},{"id":"https://openalex.org/C1883856","wikidata":"https://www.wikidata.org/wiki/Q3407463","display_name":"Fuzzy number","level":4,"score":0.45187658071517944},{"id":"https://openalex.org/C198352243","wikidata":"https://www.wikidata.org/wiki/Q37105","display_name":"Line (geometry)","level":2,"score":0.42065444588661194},{"id":"https://openalex.org/C27016315","wikidata":"https://www.wikidata.org/wiki/Q580101","display_name":"Integral equation","level":2,"score":0.3742693066596985},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.358493447303772},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.32428160309791565},{"id":"https://openalex.org/C11413529","wikidata":"https://www.wikidata.org/wiki/Q8366","display_name":"Algorithm","level":1,"score":0.32144400477409363},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.2252504825592041},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20574527978897095},{"id":"https://openalex.org/C2524010","wikidata":"https://www.wikidata.org/wiki/Q8087","display_name":"Geometry","level":1,"score":0.16858020424842834},{"id":"https://openalex.org/C185592680","wikidata":"https://www.wikidata.org/wiki/Q2329","display_name":"Chemistry","level":0,"score":0.0},{"id":"https://openalex.org/C55493867","wikidata":"https://www.wikidata.org/wiki/Q7094","display_name":"Biochemistry","level":1,"score":0.0},{"id":"https://openalex.org/C104317684","wikidata":"https://www.wikidata.org/wiki/Q7187","display_name":"Gene","level":2,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218488504002977","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218488504002977","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":[{"score":0.800000011920929,"display_name":"Sustainable cities and communities","id":"https://metadata.un.org/sdg/11"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":17,"referenced_works":["https://openalex.org/W1965955764","https://openalex.org/W1974590660","https://openalex.org/W1977914365","https://openalex.org/W1978734360","https://openalex.org/W1982109263","https://openalex.org/W1986084950","https://openalex.org/W1986935317","https://openalex.org/W1994152317","https://openalex.org/W1994178762","https://openalex.org/W1997679081","https://openalex.org/W2001747031","https://openalex.org/W2014342173","https://openalex.org/W2018154656","https://openalex.org/W2072707988","https://openalex.org/W2084568227","https://openalex.org/W2087463697","https://openalex.org/W2162836710"],"related_works":["https://openalex.org/W2081496544","https://openalex.org/W1983926425","https://openalex.org/W2031561209","https://openalex.org/W1967904432","https://openalex.org/W2056756044","https://openalex.org/W1599045798","https://openalex.org/W1486684451","https://openalex.org/W4361273540","https://openalex.org/W2389952655","https://openalex.org/W1992542841"],"abstract_inverted_index":{"In":[0,51],"this":[1],"paper,":[2],"we":[3,33,53],"present":[4],"the":[5,13,31,41,59,62],"definition":[6],"of":[7,9,30,37,58,71],"integral":[8,60],"fuzzy":[10,14],"mappings":[11],"from":[12],"number":[15],"space":[16],"E":[17],"into":[18],"E,":[19],"and":[20,24,73],"discuss":[21],"its":[22],"properties":[23],"calculation.":[25],"And":[26],"as":[27],"an":[28,66],"application":[29],"integral,":[32],"provide":[34],"a":[35,45],"method":[36],"robustness":[38],"estimates":[39],"for":[40],"traffic":[42],"volumes":[43],"passing":[44],"road":[46],"each":[47],"day":[48],"(24":[49],"hours).":[50],"addition,":[52],"also":[54],"give":[55],"another":[56],"example":[57],"characterizing":[61],"distance":[63],"travelled":[64],"in":[65],"imprecise":[67],"or":[68],"uncertain":[69],"environment":[70],"time":[72],"speed.":[74]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}