{"id":"https://openalex.org/W2130527646","doi":"https://doi.org/10.1016/0305-0548(89)90014-2","title":"Ranking multiple criteria alternatives with half-space, convex, and non-convex dominating cones: quasi-concave and quasi-convex multiple attribute utility functions","display_name":"Ranking multiple criteria alternatives with half-space, convex, and non-convex dominating cones: quasi-concave and quasi-convex multiple attribute utility functions","publication_year":1989,"publication_date":"1989-01-01","ids":{"openalex":"https://openalex.org/W2130527646","doi":"https://doi.org/10.1016/0305-0548(89)90014-2","mag":"2130527646"},"language":"en","primary_location":{"id":"doi:10.1016/0305-0548(89)90014-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0305-0548(89)90014-2","pdf_url":null,"source":{"id":"https://openalex.org/S173256270","display_name":"Computers & Operations Research","issn_l":"0305-0548","issn":["0305-0548","1873-765X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers & Operations Research","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/A5019404009","display_name":"Behnam Malakooti","orcid":"https://orcid.org/0000-0002-7595-7371"},"institutions":[{"id":"https://openalex.org/I58956616","display_name":"Case Western Reserve University","ror":"https://ror.org/051fd9666","country_code":"US","type":"education","lineage":["https://openalex.org/I58956616"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"B. Malakooti","raw_affiliation_strings":["Systems Engineering Department, Center for Automation and Intelligent Systems Research, Case Western Reserve University, Cleveland, OH 44106, U.S.A"],"affiliations":[{"raw_affiliation_string":"Systems Engineering Department, Center for Automation and Intelligent Systems Research, Case Western Reserve University, Cleveland, OH 44106, U.S.A","institution_ids":["https://openalex.org/I58956616"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5019404009"],"corresponding_institution_ids":["https://openalex.org/I58956616"],"apc_list":{"value":3210,"currency":"USD","value_usd":3210},"apc_paid":null,"fwci":5.0721,"has_fulltext":false,"cited_by_count":36,"citation_normalized_percentile":{"value":0.96172862,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":89,"max":96},"biblio":{"volume":"16","issue":"2","first_page":"117","last_page":"127"},"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":0.9958999752998352,"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/T12945","display_name":"Quality Function Deployment in Product Design","score":0.9595999717712402,"subfield":{"id":"https://openalex.org/subfields/1405","display_name":"Management of Technology and Innovation"},"field":{"id":"https://openalex.org/fields/14","display_name":"Business, Management and Accounting"},"domain":{"id":"https://openalex.org/domains/2","display_name":"Social Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7223225831985474},{"id":"https://openalex.org/keywords/rank","display_name":"Rank (graph theory)","score":0.6592543721199036},{"id":"https://openalex.org/keywords/regular-polygon","display_name":"Regular polygon","score":0.6024028658866882},{"id":"https://openalex.org/keywords/ranking","display_name":"Ranking (information retrieval)","score":0.5841166377067566},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.5486186742782593},{"id":"https://openalex.org/keywords/convex-analysis","display_name":"Convex analysis","score":0.5140808820724487},{"id":"https://openalex.org/keywords/concave-function","display_name":"Concave function","score":0.48806726932525635},{"id":"https://openalex.org/keywords/conic-optimization","display_name":"Conic optimization","score":0.47970694303512573},{"id":"https://openalex.org/keywords/proper-convex-function","display_name":"Proper convex function","score":0.46679431200027466},{"id":"https://openalex.org/keywords/multiplicative-function","display_name":"Multiplicative function","score":0.4618059992790222},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4536804258823395},{"id":"https://openalex.org/keywords/subderivative","display_name":"Subderivative","score":0.4309481978416443},{"id":"https://openalex.org/keywords/space","display_name":"Space (punctuation)","score":0.4210665822029114},{"id":"https://openalex.org/keywords/convex-cone","display_name":"Convex cone","score":0.41428619623184204},{"id":"https://openalex.org/keywords/convex-optimization","display_name":"Convex optimization","score":0.4079844355583191},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.25616180896759033},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.23610028624534607},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.10511794686317444},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.08095350861549377}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7223225831985474},{"id":"https://openalex.org/C164226766","wikidata":"https://www.wikidata.org/wiki/Q7293202","display_name":"Rank (graph theory)","level":2,"score":0.6592543721199036},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.6024028658866882},{"id":"https://openalex.org/C189430467","wikidata":"https://www.wikidata.org/wiki/Q7293293","display_name":"Ranking (information retrieval)","level":2,"score":0.5841166377067566},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.5486186742782593},{"id":"https://openalex.org/C12108790","wikidata":"https://www.wikidata.org/wiki/Q2234833","display_name":"Convex analysis","level":4,"score":0.5140808820724487},{"id":"https://openalex.org/C66690126","wikidata":"https://www.wikidata.org/wiki/Q2914302","display_name":"Concave function","level":3,"score":0.48806726932525635},{"id":"https://openalex.org/C79187972","wikidata":"https://www.wikidata.org/wiki/Q2654791","display_name":"Conic optimization","level":5,"score":0.47970694303512573},{"id":"https://openalex.org/C50862404","wikidata":"https://www.wikidata.org/wiki/Q3075259","display_name":"Proper convex function","level":5,"score":0.46679431200027466},{"id":"https://openalex.org/C42747912","wikidata":"https://www.wikidata.org/wiki/Q1048447","display_name":"Multiplicative function","level":2,"score":0.4618059992790222},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4536804258823395},{"id":"https://openalex.org/C200661725","wikidata":"https://www.wikidata.org/wiki/Q289500","display_name":"Subderivative","level":4,"score":0.4309481978416443},{"id":"https://openalex.org/C2778572836","wikidata":"https://www.wikidata.org/wiki/Q380933","display_name":"Space (punctuation)","level":2,"score":0.4210665822029114},{"id":"https://openalex.org/C28340159","wikidata":"https://www.wikidata.org/wiki/Q2256541","display_name":"Convex cone","level":5,"score":0.41428619623184204},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.4079844355583191},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.25616180896759033},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.23610028624534607},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.10511794686317444},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.08095350861549377},{"id":"https://openalex.org/C78458016","wikidata":"https://www.wikidata.org/wiki/Q840400","display_name":"Evolutionary biology","level":1,"score":0.0},{"id":"https://openalex.org/C86803240","wikidata":"https://www.wikidata.org/wiki/Q420","display_name":"Biology","level":0,"score":0.0},{"id":"https://openalex.org/C111919701","wikidata":"https://www.wikidata.org/wiki/Q9135","display_name":"Operating system","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}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/0305-0548(89)90014-2","is_oa":false,"landing_page_url":"https://doi.org/10.1016/0305-0548(89)90014-2","pdf_url":null,"source":{"id":"https://openalex.org/S173256270","display_name":"Computers & Operations Research","issn_l":"0305-0548","issn":["0305-0548","1873-765X"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310320990","host_organization_name":"Elsevier BV","host_organization_lineage":["https://openalex.org/P4310320990"],"host_organization_lineage_names":["Elsevier BV"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computers & Operations Research","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.7799999713897705}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":24,"referenced_works":["https://openalex.org/W1530041619","https://openalex.org/W1561610472","https://openalex.org/W1992942450","https://openalex.org/W2001428253","https://openalex.org/W2008896738","https://openalex.org/W2009898772","https://openalex.org/W2020520106","https://openalex.org/W2036737894","https://openalex.org/W2037152850","https://openalex.org/W2040444968","https://openalex.org/W2043813211","https://openalex.org/W2047021735","https://openalex.org/W2047276948","https://openalex.org/W2054613605","https://openalex.org/W2067802689","https://openalex.org/W2085556122","https://openalex.org/W2104594484","https://openalex.org/W2115111890","https://openalex.org/W2129318555","https://openalex.org/W2330378796","https://openalex.org/W3000651840","https://openalex.org/W3206042768","https://openalex.org/W4212973943","https://openalex.org/W6701961424"],"related_works":["https://openalex.org/W4382519084","https://openalex.org/W2087726221","https://openalex.org/W2963317235","https://openalex.org/W3131050393","https://openalex.org/W4288280867","https://openalex.org/W2051968184","https://openalex.org/W2102483896","https://openalex.org/W4385668441","https://openalex.org/W2352968389","https://openalex.org/W2388375429"],"abstract_inverted_index":null,"counts_by_year":[{"year":2023,"cited_by_count":1},{"year":2019,"cited_by_count":2},{"year":2016,"cited_by_count":1},{"year":2015,"cited_by_count":1},{"year":2013,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}