{"id":"https://openalex.org/W2088777765","doi":"https://doi.org/10.1080/00207720310001640728","title":"A statistical approach to multiple-attribute decision-making with interval numbers","display_name":"A statistical approach to multiple-attribute decision-making with interval numbers","publication_year":2003,"publication_date":"2003-10-01","ids":{"openalex":"https://openalex.org/W2088777765","doi":"https://doi.org/10.1080/00207720310001640728","mag":"2088777765"},"language":"en","primary_location":{"id":"doi:10.1080/00207720310001640728","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207720310001640728","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","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/A5100406675","display_name":"Quan Zhang","orcid":"https://orcid.org/0000-0002-2792-4401"},"institutions":[{"id":"https://openalex.org/I119888943","display_name":"Gonzaga University","ror":"https://ror.org/03ze70h02","country_code":"US","type":"education","lineage":["https://openalex.org/I119888943"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Quan Zhang","raw_affiliation_strings":["School of Business Administration , Gonzaga University , 502 E. Boone, Spokane, WA 99258, USA","School of Business Administration, Gonzaga University, 502 E. Boone, Spokane, WA 99258, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"School of Business Administration , Gonzaga University , 502 E. Boone, Spokane, WA 99258, USA","institution_ids":["https://openalex.org/I119888943"]},{"raw_affiliation_string":"School of Business Administration, Gonzaga University, 502 E. Boone, Spokane, WA 99258, USA","institution_ids":["https://openalex.org/I119888943"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5053122805","display_name":"Jian Ma","orcid":"https://orcid.org/0000-0003-2644-5756"},"institutions":[{"id":"https://openalex.org/I168719708","display_name":"City University of Hong Kong","ror":"https://ror.org/03q8dnn23","country_code":"HK","type":"education","lineage":["https://openalex.org/I168719708"]}],"countries":["HK"],"is_corresponding":false,"raw_author_name":"Jian Ma","raw_affiliation_strings":["Department of Information Systems , City University of Hong Kong , Kowloon, Hong Kong, China","[Department of Information Systems, City University of Hong Kong, Kowloon, Hong Kong, China]"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Systems , City University of Hong Kong , Kowloon, Hong Kong, China","institution_ids":["https://openalex.org/I168719708"]},{"raw_affiliation_string":"[Department of Information Systems, City University of Hong Kong, Kowloon, Hong Kong, China]","institution_ids":["https://openalex.org/I168719708"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5089603342","display_name":"Zhi\u2010Ping Fan","orcid":"https://orcid.org/0000-0001-6778-4637"},"institutions":[{"id":"https://openalex.org/I9224756","display_name":"Northeastern University","ror":"https://ror.org/03awzbc87","country_code":"CN","type":"education","lineage":["https://openalex.org/I9224756"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zhi-Ping Fan","raw_affiliation_strings":["Department of Information Systems and Decision Science , Faculty of Business Administration, Northeastern University , Shenyang 110004, China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Information Systems and Decision Science , Faculty of Business Administration, Northeastern University , Shenyang 110004, China","institution_ids":["https://openalex.org/I9224756"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5046681211","display_name":"Wen\u2010Chyuan Chiang","orcid":"https://orcid.org/0000-0003-3214-8539"},"institutions":[{"id":"https://openalex.org/I87208437","display_name":"University of Tulsa","ror":"https://ror.org/04wn28048","country_code":"US","type":"education","lineage":["https://openalex.org/I87208437"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Wen-Chyuan Chiang","raw_affiliation_strings":["Finance and Operations Management Department , The University of Tulsa , 600 South College Ave., Tulsa, OK 74137, USA"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Finance and Operations Management Department , The University of Tulsa , 600 South College Ave., Tulsa, OK 74137, USA","institution_ids":["https://openalex.org/I87208437"]}]}],"institutions":[],"countries_distinct_count":3,"institutions_distinct_count":4,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":0.4413,"has_fulltext":false,"cited_by_count":19,"citation_normalized_percentile":{"value":0.69487664,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":97},"biblio":{"volume":"34","issue":"12-13","first_page":"683","last_page":"692"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9998000264167786,"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":0.9998000264167786,"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":0.9914000034332275,"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"}},{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.9768999814987183,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7457015514373779},{"id":"https://openalex.org/keywords/interval","display_name":"Interval (graph theory)","score":0.7452262043952942},{"id":"https://openalex.org/keywords/standard-deviation","display_name":"Standard deviation","score":0.566341757774353},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.5402879118919373},{"id":"https://openalex.org/keywords/statistics","display_name":"Statistics","score":0.5392324924468994},{"id":"https://openalex.org/keywords/distribution","display_name":"Distribution (mathematics)","score":0.5066521763801575},{"id":"https://openalex.org/keywords/normal-distribution","display_name":"Normal distribution","score":0.4869498014450073},{"id":"https://openalex.org/keywords/uniform-distribution","display_name":"Uniform distribution (continuous)","score":0.44035574793815613},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.3836681544780731},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.09973558783531189}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7457015514373779},{"id":"https://openalex.org/C2778067643","wikidata":"https://www.wikidata.org/wiki/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.7452262043952942},{"id":"https://openalex.org/C22679943","wikidata":"https://www.wikidata.org/wiki/Q159375","display_name":"Standard deviation","level":2,"score":0.566341757774353},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.5402879118919373},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.5392324924468994},{"id":"https://openalex.org/C110121322","wikidata":"https://www.wikidata.org/wiki/Q865811","display_name":"Distribution (mathematics)","level":2,"score":0.5066521763801575},{"id":"https://openalex.org/C102094743","wikidata":"https://www.wikidata.org/wiki/Q133871","display_name":"Normal distribution","level":2,"score":0.4869498014450073},{"id":"https://openalex.org/C108882938","wikidata":"https://www.wikidata.org/wiki/Q274506","display_name":"Uniform distribution (continuous)","level":2,"score":0.44035574793815613},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.3836681544780731},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.09973558783531189},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.0},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","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:10.1080/00207720310001640728","is_oa":false,"landing_page_url":"https://doi.org/10.1080/00207720310001640728","pdf_url":null,"source":{"id":"https://openalex.org/S129640837","display_name":"International Journal of Systems Science","issn_l":"0020-7721","issn":["0020-7721","1464-5319"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320547","host_organization_name":"Taylor & Francis","host_organization_lineage":["https://openalex.org/P4310320547"],"host_organization_lineage_names":["Taylor & Francis"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Systems Science","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"id":"https://metadata.un.org/sdg/16","display_name":"Peace, Justice and strong institutions","score":0.8199999928474426}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W134005434","https://openalex.org/W194786220","https://openalex.org/W1982562085","https://openalex.org/W1985152658","https://openalex.org/W1985316359","https://openalex.org/W1987347924","https://openalex.org/W1987757676","https://openalex.org/W2009499717","https://openalex.org/W2012491224","https://openalex.org/W2025109647","https://openalex.org/W2034482489","https://openalex.org/W2044672249","https://openalex.org/W2057840803","https://openalex.org/W2065984263","https://openalex.org/W2067833990","https://openalex.org/W2068385836","https://openalex.org/W2085728015","https://openalex.org/W2088314982","https://openalex.org/W2093720461","https://openalex.org/W2144242878","https://openalex.org/W2160132006","https://openalex.org/W2168936936","https://openalex.org/W2506768821","https://openalex.org/W2752932982","https://openalex.org/W2923916621","https://openalex.org/W3125430941","https://openalex.org/W3151200052","https://openalex.org/W4205303208"],"related_works":["https://openalex.org/W184736807","https://openalex.org/W2184874144","https://openalex.org/W2320862334","https://openalex.org/W4286664651","https://openalex.org/W2485362842","https://openalex.org/W1425437348","https://openalex.org/W2997761818","https://openalex.org/W4321601328","https://openalex.org/W2923957350","https://openalex.org/W2155680698"],"abstract_inverted_index":{"In":[0,90],"multiple-attribute":[1],"decision-making,":[2],"the":[3,14,19,22,30,44,47,55,71,75,79,103,112,127,136,172,175,182,193,204,210,219],"overall":[4,41,56,76,128,176],"values":[5,42,57,67,77,110,129,177,217,221],"of":[6,18,32,43,49,54,58,78,105,111,126,130,174,178,187,206,212,222],"alternatives":[7,45,59,80,131,179,194],"would":[8],"be":[9],"interval":[10,50],"numbers":[11],"due":[12],"to":[13,36,83,134],"inherent":[15],"uncertain":[16],"property":[17],"problems":[20],"in":[21,46,87],"ambiguous":[23],"decision":[24],"domain.":[25],"Bryson":[26,145,188],"and":[27,40,97,108,124,143,146,158,189,215],"Mobolurin":[28],"proposed":[29,139],"use":[31],"linear":[33],"programming":[34],"models":[35],"compute":[37],"attribute":[38,106,109,213,220],"weights":[39,107,214],"form":[48],"numbers.":[51],"The":[52,138,163],"intervals":[53,82,104,173,186,199,211],"are":[60,100,132,200],"then":[61],"transformed":[62],"into":[63],"points":[64,84],"or":[65],"crisp":[66,216],"for":[68,160,203,218],"comparisons":[69],"among":[70],"alternatives.":[72,113,223],"However,":[73],"transforming":[74],"from":[81],"may":[85],"result":[86],"information":[88],"loss.":[89],"this":[91],"paper,":[92],"statistical":[93,140],"distributions,":[94],"normal":[95,207],"distribution":[96,208],"uniform":[98,170],"distribution,":[99,171],"placed":[101],"on":[102,209],"By":[114],"adopting":[115],"a":[116,169],"simulation":[117,164],"method,":[118],"means":[119],"together":[120],"with":[121,181,196],"standard":[122,156],"deviations":[123],"correlations":[125,159],"used":[133],"conduct":[135],"comparisons.":[137,162],"approach":[141,148],"simplifies":[142],"enriches":[144],"Mobolurin's":[147],"by":[149],"providing":[150],"superiority":[151],"possibilities":[152],"between":[153,192],"alternatives,":[154],"means,":[155],"deviations,":[157],"alternative":[161],"results":[165],"show":[166],"that":[167],"under":[168],"coincide":[180],"\u2018level":[183],"3":[184],"composite\u2019":[185],"Mobolurin.":[190],"Comparisons":[191],"associated":[195],"their":[197],"evaluated":[198],"also":[201],"discussed":[202],"case":[205]},"counts_by_year":[{"year":2024,"cited_by_count":1},{"year":2022,"cited_by_count":1},{"year":2020,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":3}],"updated_date":"2026-06-11T09:08:48.828518","created_date":"2025-10-10T00:00:00"}
