{"id":"https://openalex.org/W2150002615","doi":"https://doi.org/10.1109/fuzzy.2005.1452454","title":"Geometric Programming with Fuzzy Relation Equation Constraints","display_name":"Geometric Programming with Fuzzy Relation Equation Constraints","publication_year":2005,"publication_date":"2005-07-28","ids":{"openalex":"https://openalex.org/W2150002615","doi":"https://doi.org/10.1109/fuzzy.2005.1452454","mag":"2150002615"},"language":"en","primary_location":{"id":"doi:10.1109/fuzzy.2005.1452454","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2005.1452454","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The 14th IEEE International Conference on Fuzzy Systems, 2005. FUZZ '05.","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/A5068680543","display_name":"Ji-Hui Yang","orcid":"https://orcid.org/0000-0002-8069-0261"},"institutions":[{"id":"https://openalex.org/I32574673","display_name":"Shantou University","ror":"https://ror.org/01a099706","country_code":"CN","type":"education","lineage":["https://openalex.org/I32574673"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Ji-hui Yang","raw_affiliation_strings":["Institute of Mathematics, Shantou University, Guangdong, China"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, Shantou University, Guangdong, China","institution_ids":["https://openalex.org/I32574673"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5079293684","display_name":"Bing-Yuan Cao","orcid":"https://orcid.org/0000-0003-3589-5441"},"institutions":[{"id":"https://openalex.org/I32574673","display_name":"Shantou University","ror":"https://ror.org/01a099706","country_code":"CN","type":"education","lineage":["https://openalex.org/I32574673"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Bing-yuan Cao","raw_affiliation_strings":["Department and Institute of Mathematics, Shantou University, Guangdong, China"],"affiliations":[{"raw_affiliation_string":"Department and Institute of Mathematics, Shantou University, Guangdong, China","institution_ids":["https://openalex.org/I32574673"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5068680543"],"corresponding_institution_ids":["https://openalex.org/I32574673"],"apc_list":null,"apc_paid":null,"fwci":9.6938,"has_fulltext":false,"cited_by_count":48,"citation_normalized_percentile":{"value":0.97772137,"is_in_top_1_percent":false,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":90,"max":99},"biblio":{"volume":null,"issue":null,"first_page":"557","last_page":"560"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T14270","display_name":"Simulation and Modeling Applications","score":0.9686999917030334,"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"}},"topics":[{"id":"https://openalex.org/T14270","display_name":"Simulation and Modeling Applications","score":0.9686999917030334,"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/T12401","display_name":"Scheduling and Timetabling Solutions","score":0.9340000152587891,"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/T10586","display_name":"Robotic Path Planning Algorithms","score":0.9039000272750854,"subfield":{"id":"https://openalex.org/subfields/1707","display_name":"Computer Vision and Pattern Recognition"},"field":{"id":"https://openalex.org/fields/17","display_name":"Computer Science"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/monomial","display_name":"Monomial","score":0.8474240303039551},{"id":"https://openalex.org/keywords/geometric-programming","display_name":"Geometric programming","score":0.8069962859153748},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.7516406774520874},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.6602622270584106},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6124814748764038},{"id":"https://openalex.org/keywords/mathematical-optimization","display_name":"Mathematical optimization","score":0.6041321158409119},{"id":"https://openalex.org/keywords/fuzzy-set","display_name":"Fuzzy set","score":0.5550270676612854},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5016975402832031},{"id":"https://openalex.org/keywords/applied-mathematics","display_name":"Applied mathematics","score":0.49243220686912537},{"id":"https://openalex.org/keywords/function","display_name":"Function (biology)","score":0.4788482189178467},{"id":"https://openalex.org/keywords/solution-set","display_name":"Solution set","score":0.4678327143192291},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.3935340940952301},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3445916175842285},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.18360117077827454},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.1733170449733734},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.15401268005371094},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.07778525352478027}],"concepts":[{"id":"https://openalex.org/C11252640","wikidata":"https://www.wikidata.org/wiki/Q243723","display_name":"Monomial","level":2,"score":0.8474240303039551},{"id":"https://openalex.org/C20729856","wikidata":"https://www.wikidata.org/wiki/Q2078279","display_name":"Geometric programming","level":2,"score":0.8069962859153748},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.7516406774520874},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.6602622270584106},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6124814748764038},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.6041321158409119},{"id":"https://openalex.org/C42011625","wikidata":"https://www.wikidata.org/wiki/Q1055058","display_name":"Fuzzy set","level":3,"score":0.5550270676612854},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5016975402832031},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.49243220686912537},{"id":"https://openalex.org/C14036430","wikidata":"https://www.wikidata.org/wiki/Q3736076","display_name":"Function (biology)","level":2,"score":0.4788482189178467},{"id":"https://openalex.org/C60033838","wikidata":"https://www.wikidata.org/wiki/Q1751685","display_name":"Solution set","level":3,"score":0.4678327143192291},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.3935340940952301},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3445916175842285},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.18360117077827454},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.1733170449733734},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.15401268005371094},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.07778525352478027},{"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/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1109/fuzzy.2005.1452454","is_oa":false,"landing_page_url":"https://doi.org/10.1109/fuzzy.2005.1452454","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"The 14th IEEE International Conference on Fuzzy Systems, 2005. FUZZ '05.","raw_type":"proceedings-article"},{"id":"mag:2496862072","is_oa":false,"landing_page_url":null,"pdf_url":null,"source":null,"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":null}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1970676534","https://openalex.org/W1990360647","https://openalex.org/W1990673965","https://openalex.org/W2009463090","https://openalex.org/W2039018525","https://openalex.org/W2049053995","https://openalex.org/W2061590216","https://openalex.org/W2061821032","https://openalex.org/W2787523326","https://openalex.org/W4214831569","https://openalex.org/W4300549156","https://openalex.org/W4301375875"],"related_works":["https://openalex.org/W2399505800","https://openalex.org/W333749553","https://openalex.org/W1966623661","https://openalex.org/W2942288111","https://openalex.org/W2951675266","https://openalex.org/W2039516134","https://openalex.org/W2963278200","https://openalex.org/W1992081763","https://openalex.org/W2116657119","https://openalex.org/W2045992762"],"abstract_inverted_index":{"An":[0],"optimization":[1],"model":[2],"is":[3,36,50],"presented":[4],"with":[5],"a":[6,12,47],"posynomial":[7],"objective":[8,44],"function":[9],"subject":[10],"to":[11],"fuzzy":[13,29],"relation":[14,30],"equation.":[15],"Then":[16],"the":[17,33],"structure":[18],"of":[19,41],"solution":[20,35,48],"set":[21],"and":[22],"its":[23],"solving":[24],"method":[25],"are":[26,57],"related":[27],"about":[28],"equations.":[31],"Next":[32],"optimum":[34],"discussed,":[37],"based":[38],"on":[39],"exponent":[40],"monomial":[42],"among":[43],"function,":[45],"then":[46],"procedure":[49],"proposed.":[51],"And":[52],"finally,":[53],"two":[54],"practical":[55],"examples":[56],"given":[58],"for":[59],"illustration":[60],"purpose":[61]},"counts_by_year":[{"year":2020,"cited_by_count":2},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":3},{"year":2017,"cited_by_count":1},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":9},{"year":2014,"cited_by_count":2},{"year":2012,"cited_by_count":6}],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}
