{"id":"https://openalex.org/W2900267418","doi":"https://doi.org/10.1155/2018/6463039","title":"An Interval\u2010Valued Pythagorean Fuzzy Compromise Approach with Correlation\u2010Based Closeness Indices for Multiple\u2010Criteria Decision Analysis of Bridge Construction Methods","display_name":"An Interval\u2010Valued Pythagorean Fuzzy Compromise Approach with Correlation\u2010Based Closeness Indices for Multiple\u2010Criteria Decision Analysis of Bridge Construction Methods","publication_year":2018,"publication_date":"2018-01-01","ids":{"openalex":"https://openalex.org/W2900267418","doi":"https://doi.org/10.1155/2018/6463039","mag":"2900267418"},"language":"en","primary_location":{"id":"doi:10.1155/2018/6463039","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2018/6463039","pdf_url":"https://downloads.hindawi.com/journals/complexity/2018/6463039.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"type":"article","indexed_in":["crossref","doaj"],"open_access":{"is_oa":true,"oa_status":"gold","oa_url":"https://downloads.hindawi.com/journals/complexity/2018/6463039.pdf","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5040477292","display_name":"Ting\u2010Yu Chen","orcid":"https://orcid.org/0000-0002-2171-4139"},"institutions":[{"id":"https://openalex.org/I141243467","display_name":"Chang Gung University of Science and Technology","ror":"https://ror.org/009knm296","country_code":"TW","type":"education","lineage":["https://openalex.org/I141243467"]},{"id":"https://openalex.org/I173093425","display_name":"Chang Gung University","ror":"https://ror.org/00d80zx46","country_code":"TW","type":"education","lineage":["https://openalex.org/I173093425"]},{"id":"https://openalex.org/I3020100970","display_name":"Chang Gung Memorial Hospital","ror":"https://ror.org/02verss31","country_code":"TW","type":"healthcare","lineage":["https://openalex.org/I3020100970"]},{"id":"https://openalex.org/I4210116208","display_name":"Linkou Chang Gung Memorial Hospital","ror":"https://ror.org/02dnn6q67","country_code":"TW","type":"healthcare","lineage":["https://openalex.org/I3020100970","https://openalex.org/I4210116208"]}],"countries":["TW"],"is_corresponding":true,"raw_author_name":"Ting-Yu Chen","raw_affiliation_strings":["Adjunct Professor, Department of Industrial and Business Management, College of Management, Chang Gung University, No. 259, Wenhua 1st Rd., Guishan District, Taoyuan City 33302, Taiwan cgu.edu.tw","Adjunct Research Fellow, Department of Nursing, Linkou Chang Gung Memorial Hospital, No. 259, Wenhua 1st Rd., Guishan District, Taoyuan City 33302, Taiwan cgmh.org.tw","Professor, Graduate Institute of Business and Management, College of Management, Chang Gung University, No. 259, Wenhua 1st Rd., Guishan District, Taoyuan City 33302, Taiwan cgu.edu.tw","Adjunct Professor, Department of Industrial and Business Management, College of Management, Chang Gung University, No. 259, Wenhua 1st Rd., Guishan District, Taoyuan City 33302","Adjunct Research Fellow, Department of Nursing, Linkou Chang Gung Memorial Hospital, No. 259, Wenhua 1st Rd., Guishan District, Taoyuan City 33302","Professor, Graduate Institute of Business and Management, College of Management, Chang Gung University, No. 259, Wenhua 1st Rd., Guishan District, Taoyuan City 33302"],"raw_orcid":"https://orcid.org/0000-0002-2171-4139","affiliations":[{"raw_affiliation_string":"Adjunct Professor, Department of Industrial and Business Management, College of Management, Chang Gung University, No. 259, Wenhua 1st Rd., Guishan District, Taoyuan City 33302, Taiwan cgu.edu.tw","institution_ids":["https://openalex.org/I141243467","https://openalex.org/I173093425"]},{"raw_affiliation_string":"Adjunct Research Fellow, Department of Nursing, Linkou Chang Gung Memorial Hospital, No. 259, Wenhua 1st Rd., Guishan District, Taoyuan City 33302, Taiwan cgmh.org.tw","institution_ids":["https://openalex.org/I3020100970","https://openalex.org/I4210116208"]},{"raw_affiliation_string":"Professor, Graduate Institute of Business and Management, College of Management, Chang Gung University, No. 259, Wenhua 1st Rd., Guishan District, Taoyuan City 33302, Taiwan cgu.edu.tw","institution_ids":["https://openalex.org/I141243467","https://openalex.org/I173093425"]},{"raw_affiliation_string":"Adjunct Professor, Department of Industrial and Business Management, College of Management, Chang Gung University, No. 259, Wenhua 1st Rd., Guishan District, Taoyuan City 33302","institution_ids":["https://openalex.org/I173093425"]},{"raw_affiliation_string":"Adjunct Research Fellow, Department of Nursing, Linkou Chang Gung Memorial Hospital, No. 259, Wenhua 1st Rd., Guishan District, Taoyuan City 33302","institution_ids":["https://openalex.org/I4210116208"]},{"raw_affiliation_string":"Professor, Graduate Institute of Business and Management, College of Management, Chang Gung University, No. 259, Wenhua 1st Rd., Guishan District, Taoyuan City 33302","institution_ids":["https://openalex.org/I173093425"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":4,"corresponding_author_ids":["https://openalex.org/A5040477292"],"corresponding_institution_ids":["https://openalex.org/I141243467","https://openalex.org/I173093425","https://openalex.org/I3020100970","https://openalex.org/I4210116208"],"apc_list":{"value":2550,"currency":"USD","value_usd":2550},"apc_paid":{"value":2550,"currency":"USD","value_usd":2550},"fwci":2.6669,"has_fulltext":true,"cited_by_count":19,"citation_normalized_percentile":{"value":0.90441885,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":99},"biblio":{"volume":"2018","issue":"1","first_page":null,"last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9995999932289124,"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":0.9995999932289124,"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":0.9714000225067139,"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/T12709","display_name":"Optimization and Mathematical Programming","score":0.9684000015258789,"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/closeness","display_name":"Closeness","score":0.8996304273605347},{"id":"https://openalex.org/keywords/pythagorean-theorem","display_name":"Pythagorean theorem","score":0.62339186668396},{"id":"https://openalex.org/keywords/compromise","display_name":"Compromise","score":0.6130368113517761},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.5754179358482361},{"id":"https://openalex.org/keywords/bridge","display_name":"Bridge (graph theory)","score":0.5298226475715637},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5266050100326538},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.44659537076950073},{"id":"https://openalex.org/keywords/correlation","display_name":"Correlation","score":0.43939706683158875},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.4148261547088623},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.32994455099105835},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.21289142966270447},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.11328995227813721},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.061848849058151245},{"id":"https://openalex.org/keywords/medicine","display_name":"Medicine","score":0.05535915493965149}],"concepts":[{"id":"https://openalex.org/C2779545769","wikidata":"https://www.wikidata.org/wiki/Q5135364","display_name":"Closeness","level":2,"score":0.8996304273605347},{"id":"https://openalex.org/C100461760","wikidata":"https://www.wikidata.org/wiki/Q11518","display_name":"Pythagorean theorem","level":2,"score":0.62339186668396},{"id":"https://openalex.org/C46355384","wikidata":"https://www.wikidata.org/wiki/Q726686","display_name":"Compromise","level":2,"score":0.6130368113517761},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.5754179358482361},{"id":"https://openalex.org/C100776233","wikidata":"https://www.wikidata.org/wiki/Q2532492","display_name":"Bridge (graph theory)","level":2,"score":0.5298226475715637},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5266050100326538},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.44659537076950073},{"id":"https://openalex.org/C117220453","wikidata":"https://www.wikidata.org/wiki/Q5172842","display_name":"Correlation","level":2,"score":0.43939706683158875},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.4148261547088623},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.32994455099105835},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.21289142966270447},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.11328995227813721},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.061848849058151245},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.05535915493965149},{"id":"https://openalex.org/C126322002","wikidata":"https://www.wikidata.org/wiki/Q11180","display_name":"Internal medicine","level":1,"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/C36289849","wikidata":"https://www.wikidata.org/wiki/Q34749","display_name":"Social science","level":1,"score":0.0},{"id":"https://openalex.org/C144024400","wikidata":"https://www.wikidata.org/wiki/Q21201","display_name":"Sociology","level":0,"score":0.0}],"mesh":[],"locations_count":3,"locations":[{"id":"doi:10.1155/2018/6463039","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2018/6463039","pdf_url":"https://downloads.hindawi.com/journals/complexity/2018/6463039.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},{"id":"pmh:oai:RePEc:hin:complx:6463039","is_oa":false,"landing_page_url":"http://downloads.hindawi.com/journals/8503/2018/6463039.xml","pdf_url":null,"source":{"id":"https://openalex.org/S4306401271","display_name":"RePEc: Research Papers in Economics","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I77793887","host_organization_name":"Federal Reserve Bank of St. Louis","host_organization_lineage":["https://openalex.org/I77793887"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":null,"raw_type":"article"},{"id":"pmh:oai:doaj.org/article:788ee0f8fbb849ad93496528159075dd","is_oa":true,"landing_page_url":"https://doaj.org/article/788ee0f8fbb849ad93496528159075dd","pdf_url":null,"source":{"id":"https://openalex.org/S4306401280","display_name":"DOAJ (DOAJ: Directory of Open Access Journals)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":null,"host_organization_name":null,"host_organization_lineage":[],"host_organization_lineage_names":[],"type":"repository"},"license":"cc-by-sa","license_id":"https://openalex.org/licenses/cc-by-sa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"Complexity, Vol 2018 (2018)","raw_type":"article"}],"best_oa_location":{"id":"doi:10.1155/2018/6463039","is_oa":true,"landing_page_url":"https://doi.org/10.1155/2018/6463039","pdf_url":"https://downloads.hindawi.com/journals/complexity/2018/6463039.pdf","source":{"id":"https://openalex.org/S207319443","display_name":"Complexity","issn_l":"1076-2787","issn":["1076-2787","1099-0526"],"is_oa":true,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310319869","host_organization_name":"Hindawi Publishing Corporation","host_organization_lineage":["https://openalex.org/P4310319869"],"host_organization_lineage_names":["Hindawi Publishing Corporation"],"type":"journal"},"license":"cc-by","license_id":"https://openalex.org/licenses/cc-by","version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Complexity","raw_type":"journal-article"},"sustainable_development_goals":[{"score":0.75,"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16"}],"awards":[{"id":"https://openalex.org/G5045356945","display_name":null,"funder_award_id":"BMRP 574","funder_id":"https://openalex.org/F4320313619","funder_display_name":"Chang Gung Memorial Hospital"},{"id":"https://openalex.org/G6281320475","display_name":"Using a Mixed Choice Strategy to Develop Compromising Decision-Making Models for Multiple Criteria Decision Analysis Within the Interval-Valued Intuitionistic Fuzzy Environment","funder_award_id":"MOST105-2410-H182-007-MY3","funder_id":"https://openalex.org/F4320322795","funder_display_name":"Ministry of Science and Technology, Taiwan"},{"id":"https://openalex.org/G794917778","display_name":null,"funder_award_id":"CMRPD2F0202","funder_id":"https://openalex.org/F4320313619","funder_display_name":"Chang Gung Memorial Hospital"}],"funders":[{"id":"https://openalex.org/F4320313619","display_name":"Chang Gung Memorial Hospital","ror":"https://ror.org/02verss31"},{"id":"https://openalex.org/F4320322767","display_name":"Chang Gung Medical Foundation","ror":"https://ror.org/02verss31"},{"id":"https://openalex.org/F4320322795","display_name":"Ministry of Science and Technology, Taiwan","ror":"https://ror.org/02kv4zf79"}],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2900267418.pdf","grobid_xml":"https://content.openalex.org/works/W2900267418.grobid-xml"},"referenced_works_count":65,"referenced_works":["https://openalex.org/W1668569279","https://openalex.org/W1765570948","https://openalex.org/W1829951598","https://openalex.org/W1972194867","https://openalex.org/W1978743011","https://openalex.org/W1991428434","https://openalex.org/W1992193696","https://openalex.org/W1995922184","https://openalex.org/W2004087221","https://openalex.org/W2005824703","https://openalex.org/W2006255939","https://openalex.org/W2011608024","https://openalex.org/W2013897953","https://openalex.org/W2013932252","https://openalex.org/W2020214038","https://openalex.org/W2029506845","https://openalex.org/W2035147186","https://openalex.org/W2047365016","https://openalex.org/W2070737895","https://openalex.org/W2072876976","https://openalex.org/W2076242198","https://openalex.org/W2079457935","https://openalex.org/W2096084648","https://openalex.org/W2106135161","https://openalex.org/W2122028194","https://openalex.org/W2176943060","https://openalex.org/W2212274699","https://openalex.org/W2258272880","https://openalex.org/W2288777844","https://openalex.org/W2302345939","https://openalex.org/W2327808720","https://openalex.org/W2339519627","https://openalex.org/W2343260353","https://openalex.org/W2346494717","https://openalex.org/W2405275240","https://openalex.org/W2412590235","https://openalex.org/W2414387118","https://openalex.org/W2490741796","https://openalex.org/W2507345753","https://openalex.org/W2511451295","https://openalex.org/W2514532061","https://openalex.org/W2514915223","https://openalex.org/W2560545103","https://openalex.org/W2605890141","https://openalex.org/W2722833530","https://openalex.org/W2725695898","https://openalex.org/W2739534728","https://openalex.org/W2743784793","https://openalex.org/W2753862205","https://openalex.org/W2765614740","https://openalex.org/W2765829946","https://openalex.org/W2769424226","https://openalex.org/W2770364776","https://openalex.org/W2773090514","https://openalex.org/W2774568926","https://openalex.org/W2782087892","https://openalex.org/W2783889677","https://openalex.org/W2787434823","https://openalex.org/W2790405367","https://openalex.org/W2790795792","https://openalex.org/W2800899235","https://openalex.org/W2801931701","https://openalex.org/W2811195812","https://openalex.org/W2845407821","https://openalex.org/W4292078529"],"related_works":["https://openalex.org/W2801622120","https://openalex.org/W2164141394","https://openalex.org/W4240977217","https://openalex.org/W3036524962","https://openalex.org/W2508088450","https://openalex.org/W2389434635","https://openalex.org/W4214750239","https://openalex.org/W2279908259","https://openalex.org/W2025641871","https://openalex.org/W4252107351"],"abstract_inverted_index":{"The":[0,37,60,192,214],"purpose":[1],"of":[2,23,39,46,62,67,96,134,144,150,178,201,218],"this":[3,91,172],"paper":[4,92,173],"is":[5,65,195],"to":[6,113,121,160,208],"develop":[7],"a":[8,123,162,198,203,225],"novel":[9],"compromise":[10,182,230],"approach":[11,183],"using":[12,167],"correlation\u2010based":[13,97,169],"closeness":[14,98,170],"indices":[15,99,109,138],"for":[16,100,184],"addressing":[17],"multiple\u2010criteria":[18,186],"decision":[19],"analysis":[20,227],"(MCDA)":[21],"problems":[22],"bridge":[24,40,205],"construction":[25,41,206],"methods":[26,42,231],"under":[27],"complex":[28,75],"uncertainty":[29,76,151],"based":[30],"on":[31],"interval\u2010valued":[32],"Pythagorean":[33],"fuzzy":[34,236],"(IVPF)":[35],"sets.":[36],"assessment":[38],"requires":[43],"the":[44,142,168,179,219],"consideration":[45],"multiple":[47],"alternatives":[48],"and":[49,52,57,70,73,88,103,120,130,152,156,212,216,232],"conflicting":[50],"tangible":[51],"intangible":[53],"criteria":[54],"in":[55,77,117,197],"intricate":[56],"varied":[58],"circumstances.":[59],"concept":[61],"IVPF":[63,101,181,190],"sets":[64],"capable":[66],"handling":[68],"imprecise":[69,155],"ambiguous":[71,157],"information":[72,85,145],"managing":[74],"real\u2010world":[78],"applications.":[79],"Inspired":[80],"by":[81],"useful":[82],"ideas":[83],"concerning":[84],"energies,":[86],"correlations,":[87],"correlation":[89],"coefficients,":[90],"constructs":[93],"new":[94],"concepts":[95],"characteristics":[102],"investigates":[104],"their":[105],"desirable":[106],"properties.":[107],"These":[108],"can":[110,139],"be":[111],"utilized":[112],"achieve":[114],"anchored":[115],"judgments":[116],"decision\u2010making":[118],"processes":[119],"reflect":[122],"certain":[124],"balance":[125],"between":[126],"connections":[127],"with":[128,147,228],"positive":[129],"negative":[131],"ideal":[132],"points":[133],"reference.":[135],"Moreover,":[136],"these":[137],"fully":[140],"consider":[141],"amount":[143],"associated":[146],"higher":[148],"degrees":[149],"effectively":[153],"fuse":[154],"evaluative":[158],"ratings":[159],"construct":[161],"meaningful":[163],"comparison":[164],"approach.":[165],"By":[166],"index,":[171],"establishes":[174],"effective":[175],"algorithmic":[176],"procedures":[177],"proposed":[180,193,220],"conducting":[185],"evaluation":[187],"tasks":[188],"within":[189],"environments.":[191],"methodology":[194,221],"implemented":[196],"practical":[199],"problem":[200],"selecting":[202],"suitable":[204],"method":[207],"demonstrate":[209],"its":[210],"feasibility":[211],"applicability.":[213],"practicality":[215],"effectiveness":[217],"are":[222],"verified":[223],"through":[224],"comparative":[226],"well\u2010known":[229],"other":[233],"relevant":[234],"nonstandard":[235],"models.":[237]},"counts_by_year":[{"year":2024,"cited_by_count":2},{"year":2023,"cited_by_count":2},{"year":2022,"cited_by_count":1},{"year":2021,"cited_by_count":9},{"year":2020,"cited_by_count":3},{"year":2019,"cited_by_count":2}],"updated_date":"2026-08-01T09:00:35.917206","created_date":"2025-10-10T00:00:00"}