{"id":"https://openalex.org/W2155059442","doi":"https://doi.org/10.1109/fuzz.2001.1008854","title":"Weighting of constraints in fuzzy optimization","display_name":"Weighting of constraints in fuzzy optimization","publication_year":2002,"publication_date":"2002-11-14","ids":{"openalex":"https://openalex.org/W2155059442","doi":"https://doi.org/10.1109/fuzz.2001.1008854","mag":"2155059442"},"language":"en","primary_location":{"id":"doi:10.1109/fuzz.2001.1008854","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz.2001.1008854","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"10th IEEE International Conference on Fuzzy Systems. (Cat. No.01CH37297)","raw_type":"proceedings-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/A5080242338","display_name":"Uzay Kaymak","orcid":"https://orcid.org/0000-0002-4500-9098"},"institutions":[{"id":"https://openalex.org/I913958620","display_name":"Erasmus University Rotterdam","ror":"https://ror.org/057w15z03","country_code":"NL","type":"education","lineage":["https://openalex.org/I913958620"]}],"countries":["NL"],"is_corresponding":true,"raw_author_name":"U. Kaymak","raw_affiliation_strings":["Faculty of Economics, Department of Computer Science, Erasmus University Rotterdam, Rotterdam, Netherlands"],"affiliations":[{"raw_affiliation_string":"Faculty of Economics, Department of Computer Science, Erasmus University Rotterdam, Rotterdam, Netherlands","institution_ids":["https://openalex.org/I913958620"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5068474295","display_name":"Jo\u00e3o M. C. Sousa","orcid":"https://orcid.org/0000-0002-8030-4746"},"institutions":[{"id":"https://openalex.org/I141596103","display_name":"University of Lisbon","ror":"https://ror.org/01c27hj86","country_code":"PT","type":"education","lineage":["https://openalex.org/I141596103"]}],"countries":["PT"],"is_corresponding":false,"raw_author_name":"J.M. Sousa","raw_affiliation_strings":["IST, Department of Mechanical Engineering/GCAR, Technical University of Lisbon, Portugal"],"affiliations":[{"raw_affiliation_string":"IST, Department of Mechanical Engineering/GCAR, Technical University of Lisbon, Portugal","institution_ids":["https://openalex.org/I141596103"]}]}],"institutions":[],"countries_distinct_count":2,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5080242338"],"corresponding_institution_ids":["https://openalex.org/I913958620"],"apc_list":null,"apc_paid":null,"fwci":0.9263,"has_fulltext":false,"cited_by_count":11,"citation_normalized_percentile":{"value":0.79349136,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"2","issue":null,"first_page":"1131","last_page":"1134"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10050","display_name":"Multi-Criteria Decision Making","score":0.9968000054359436,"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":0.9968000054359436,"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/T11671","display_name":"Fuzzy and Soft Set Theory","score":0.9854000210762024,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.7467201948165894},{"id":"https://openalex.org/keywords/weighting","display_name":"Weighting","score":0.6607239246368408},{"id":"https://openalex.org/keywords/flexibility","display_name":"Flexibility (engineering)","score":0.633696973323822},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.5092102289199829},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.5035147070884705},{"id":"https://openalex.org/keywords/preference","display_name":"Preference","score":0.485552042722702},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.47738999128341675},{"id":"https://openalex.org/keywords/constraint","display_name":"Constraint (computer-aided design)","score":0.46334630250930786},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.4488086700439453},{"id":"https://openalex.org/keywords/decision-maker","display_name":"Decision maker","score":0.44102802872657776},{"id":"https://openalex.org/keywords/linear-programming","display_name":"Linear programming","score":0.44067469239234924},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.439348429441452},{"id":"https://openalex.org/keywords/extension","display_name":"Extension (predicate logic)","score":0.43889322876930237},{"id":"https://openalex.org/keywords/fuzzy-set-operations","display_name":"Fuzzy set operations","score":0.4237709939479828},{"id":"https://openalex.org/keywords/constraint-programming","display_name":"Constraint programming","score":0.42213425040245056},{"id":"https://openalex.org/keywords/membership-function","display_name":"Membership function","score":0.41689935326576233},{"id":"https://openalex.org/keywords/goal-programming","display_name":"Goal programming","score":0.4127243161201477},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.3995157778263092},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.191267192363739},{"id":"https://openalex.org/keywords/operations-research","display_name":"Operations research","score":0.11529132723808289},{"id":"https://openalex.org/keywords/stochastic-programming","display_name":"Stochastic programming","score":0.08844965696334839}],"concepts":[{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.7467201948165894},{"id":"https://openalex.org/C183115368","wikidata":"https://www.wikidata.org/wiki/Q856577","display_name":"Weighting","level":2,"score":0.6607239246368408},{"id":"https://openalex.org/C2780598303","wikidata":"https://www.wikidata.org/wiki/Q65921492","display_name":"Flexibility (engineering)","level":2,"score":0.633696973323822},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.5092102289199829},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.5035147070884705},{"id":"https://openalex.org/C2781249084","wikidata":"https://www.wikidata.org/wiki/Q908656","display_name":"Preference","level":2,"score":0.485552042722702},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.47738999128341675},{"id":"https://openalex.org/C2776036281","wikidata":"https://www.wikidata.org/wiki/Q48769818","display_name":"Constraint (computer-aided design)","level":2,"score":0.46334630250930786},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.4488086700439453},{"id":"https://openalex.org/C2986080485","wikidata":"https://www.wikidata.org/wiki/Q1331926","display_name":"Decision maker","level":2,"score":0.44102802872657776},{"id":"https://openalex.org/C41045048","wikidata":"https://www.wikidata.org/wiki/Q202843","display_name":"Linear programming","level":2,"score":0.44067469239234924},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.439348429441452},{"id":"https://openalex.org/C2778029271","wikidata":"https://www.wikidata.org/wiki/Q5421931","display_name":"Extension (predicate logic)","level":2,"score":0.43889322876930237},{"id":"https://openalex.org/C148671577","wikidata":"https://www.wikidata.org/wiki/Q5511133","display_name":"Fuzzy set operations","level":4,"score":0.4237709939479828},{"id":"https://openalex.org/C173404611","wikidata":"https://www.wikidata.org/wiki/Q528588","display_name":"Constraint programming","level":3,"score":0.42213425040245056},{"id":"https://openalex.org/C5263885","wikidata":"https://www.wikidata.org/wiki/Q1967302","display_name":"Membership function","level":4,"score":0.41689935326576233},{"id":"https://openalex.org/C61157135","wikidata":"https://www.wikidata.org/wiki/Q1345279","display_name":"Goal programming","level":2,"score":0.4127243161201477},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.3995157778263092},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.191267192363739},{"id":"https://openalex.org/C42475967","wikidata":"https://www.wikidata.org/wiki/Q194292","display_name":"Operations research","level":1,"score":0.11529132723808289},{"id":"https://openalex.org/C137631369","wikidata":"https://www.wikidata.org/wiki/Q7617831","display_name":"Stochastic programming","level":2,"score":0.08844965696334839},{"id":"https://openalex.org/C126838900","wikidata":"https://www.wikidata.org/wiki/Q77604","display_name":"Radiology","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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C71924100","wikidata":"https://www.wikidata.org/wiki/Q11190","display_name":"Medicine","level":0,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"doi:10.1109/fuzz.2001.1008854","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzz.2001.1008854","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"10th IEEE International Conference on Fuzzy Systems. (Cat. No.01CH37297)","raw_type":"proceedings-article"},{"id":"pmh:oai:pure.eur.nl:openaire_cris_publications/6d1d3307-f344-4192-a392-75a8ff974d26","is_oa":false,"landing_page_url":"https://pure.eur.nl/en/publications/6d1d3307-f344-4192-a392-75a8ff974d26","pdf_url":null,"source":{"id":"https://openalex.org/S4306401266","display_name":"EUR Research Repository (Erasmus University Rotterdam)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I913958620","host_organization_name":"Erasmus University Rotterdam","host_organization_lineage":["https://openalex.org/I913958620"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kaymak, U & Sousa, JM 2001, Weighting of constraints in fuzzy optimization. in -. vol. 3, pp. 1131-1134.","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:pure.tue.nl:openaire_cris_publications/45327803-39c1-48e0-a821-640a5f23baef","is_oa":false,"landing_page_url":"https://research.tue.nl/en/publications/45327803-39c1-48e0-a821-640a5f23baef","pdf_url":null,"source":{"id":"https://openalex.org/S4406922641","display_name":"TU/e Research Portal","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":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Kaymak, U & Costa Sousa, da, J M 2001, Weighting of constraints in fuzzy optimization. in The 10th IEEE International Conference on Fuzzy Systems, 2-5 December 2001, Melbourne. vol. 3, Institute of Electrical and Electronics Engineers, Piscataway, pp. 1131-1134. https://doi.org/10.1109/FUZZ.2001.1008854","raw_type":"info:eu-repo/semantics/publishedVersion"},{"id":"pmh:oai:library.tue.nl:720464","is_oa":false,"landing_page_url":"http://repository.tue.nl/720464","pdf_url":null,"source":{"id":"https://openalex.org/S4406923046","display_name":"TU/e Research Portal (Eindhoven University of Technology)","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":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"","raw_type":""},{"id":"pmh:tue:oai:pure.tue.nl:publications/45327803-39c1-48e0-a821-640a5f23baef","is_oa":false,"landing_page_url":"https://research.tue.nl/nl/publications/45327803-39c1-48e0-a821-640a5f23baef","pdf_url":null,"source":{"id":"https://openalex.org/S4306401843","display_name":"Data Archiving and Networked Services (DANS)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I1322597698","host_organization_name":"Royal Netherlands Academy of Arts and Sciences","host_organization_lineage":["https://openalex.org/I1322597698"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"The 10th IEEE International Conference on Fuzzy Systems, 2-5 December 2001, Melbourne, 3, 1131 - 1134","raw_type":"info:eu-repo/semantics/conferencepaper"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Peace, Justice and strong institutions","id":"https://metadata.un.org/sdg/16","score":0.6499999761581421}],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":20,"referenced_works":["https://openalex.org/W1490891821","https://openalex.org/W1551917370","https://openalex.org/W1745719270","https://openalex.org/W1898259180","https://openalex.org/W1970782786","https://openalex.org/W2023946257","https://openalex.org/W2024060531","https://openalex.org/W2041879592","https://openalex.org/W2060907774","https://openalex.org/W2071200009","https://openalex.org/W2089909281","https://openalex.org/W2099349681","https://openalex.org/W2131570464","https://openalex.org/W2161995484","https://openalex.org/W2171074980","https://openalex.org/W2171715801","https://openalex.org/W2634052140","https://openalex.org/W3023540311","https://openalex.org/W4239991171","https://openalex.org/W4292158025"],"related_works":["https://openalex.org/W133230733","https://openalex.org/W1995401711","https://openalex.org/W1965584517","https://openalex.org/W4240122306","https://openalex.org/W4238427115","https://openalex.org/W1992157395","https://openalex.org/W2215935119","https://openalex.org/W2514406964","https://openalex.org/W1996400852","https://openalex.org/W2166637398"],"abstract_inverted_index":{"Many":[0],"practical":[1],"optimization":[2,102],"problems":[3],"are":[4,117],"characterized":[5],"by":[6,73,86,119],"some":[7],"flexibility":[8,15],"in":[9,78],"the":[10,24,29,57,61,74,79,82,95,101,112],"problem":[11,58,113],"constraints,":[12],"where":[13,63],"this":[14,42,53],"can":[16,70],"be":[17,36,71],"exploited":[18],"for":[19,40,55,65,81],"additional":[20],"trade-off":[21,98],"between":[22,99],"improving":[23,100],"objective":[25],"function":[26],"and":[27,60,68,104,115],"satisfying":[28,56,105],"constraints.":[30,46,107],"Fuzzy":[31],"sets":[32],"have":[33],"proven":[34],"to":[35],"a":[37,87,121],"suitable":[38],"representation":[39],"modeling":[41],"type":[43],"of":[44,52,89,97,111],"soft":[45],"The":[47,76],"paper":[48],"proposes":[49],"an":[50],"extension":[51],"model":[54],"constraints":[59,67,83,114],"goals,":[62],"preference":[64,80],"different":[66],"goals":[69,116],"specified":[72],"decision-maker.":[75],"difference":[77],"is":[84],"represented":[85],"set":[88],"associated":[90],"weight":[91],"factors,":[92],"which":[93],"influence":[94],"amount":[96],"objectives":[103],"various":[106],"Simultaneous":[108],"weighted":[109],"satisfaction":[110],"demonstrated":[118],"using":[120],"fuzzy":[122],"linear":[123],"programming":[124],"problem.":[125]},"counts_by_year":[{"year":2017,"cited_by_count":1},{"year":2012,"cited_by_count":1}],"updated_date":"2026-04-04T16:13:02.066488","created_date":"2025-10-10T00:00:00"}