{"id":"https://openalex.org/W7128496786","doi":"https://doi.org/10.1016/j.cam.2026.117432","title":"Steepest descent method with a generalized Armijo search to solve quasiconvex fuzzy optimization problems under granular differentiability","display_name":"Steepest descent method with a generalized Armijo search to solve quasiconvex fuzzy optimization problems under granular differentiability","publication_year":2026,"publication_date":"2026-02-10","ids":{"openalex":"https://openalex.org/W7128496786","doi":"https://doi.org/10.1016/j.cam.2026.117432"},"language":"en","primary_location":{"id":"doi:10.1016/j.cam.2026.117432","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cam.2026.117432","pdf_url":null,"source":{"id":"https://openalex.org/S165473669","display_name":"Journal of Computational and Applied Mathematics","issn_l":"0377-0427","issn":["0377-0427","1879-1778"],"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":"Journal of Computational and Applied Mathematics","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/A5010911377","display_name":"Shenglan Chen","orcid":null},"institutions":[{"id":"https://openalex.org/I10535382","display_name":"Chongqing University of Posts and Telecommunications","ror":"https://ror.org/03dgaqz26","country_code":"CN","type":"education","lineage":["https://openalex.org/I10535382"]}],"countries":["CN"],"is_corresponding":true,"raw_author_name":"Shenglan Chen","raw_affiliation_strings":["Key Lab of Intelligent Analysis and Decision on Complex Systems, School of Science, Chongqing University of Posts and Telecommunications, hongqing 400065, PR China"],"raw_orcid":"https://orcid.org/0000-0002-2118-1942","affiliations":[{"raw_affiliation_string":"Key Lab of Intelligent Analysis and Decision on Complex Systems, School of Science, Chongqing University of Posts and Telecommunications, hongqing 400065, PR China","institution_ids":["https://openalex.org/I10535382"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5125539208","display_name":"Li Zhong","orcid":null},"institutions":[{"id":"https://openalex.org/I10535382","display_name":"Chongqing University of Posts and Telecommunications","ror":"https://ror.org/03dgaqz26","country_code":"CN","type":"education","lineage":["https://openalex.org/I10535382"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Li Zhong","raw_affiliation_strings":["Key Lab of Intelligent Analysis and Decision on Complex Systems, School of Science, Chongqing University of Posts and Telecommunications, hongqing 400065, PR China"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Key Lab of Intelligent Analysis and Decision on Complex Systems, School of Science, Chongqing University of Posts and Telecommunications, hongqing 400065, PR China","institution_ids":["https://openalex.org/I10535382"]}]},{"author_position":"middle","author":{"id":"https://openalex.org/A5121476897","display_name":"Zengbao Wu","orcid":null},"institutions":[{"id":"https://openalex.org/I4210117164","display_name":"Luoyang Normal University","ror":"https://ror.org/029man787","country_code":"CN","type":"education","lineage":["https://openalex.org/I4210117164"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Zengbao Wu","raw_affiliation_strings":["Department of Mathematics, Luoyang Normal University, Luoyang, Henan 471934, PR China"],"raw_orcid":"https://orcid.org/0009-0005-4088-6939","affiliations":[{"raw_affiliation_string":"Department of Mathematics, Luoyang Normal University, Luoyang, Henan 471934, PR China","institution_ids":["https://openalex.org/I4210117164"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5028365040","display_name":"Changjie Fang","orcid":"https://orcid.org/0000-0002-2562-5598"},"institutions":[{"id":"https://openalex.org/I10535382","display_name":"Chongqing University of Posts and Telecommunications","ror":"https://ror.org/03dgaqz26","country_code":"CN","type":"education","lineage":["https://openalex.org/I10535382"]}],"countries":["CN"],"is_corresponding":false,"raw_author_name":"Changjie Fang","raw_affiliation_strings":["Key Lab of Intelligent Analysis and Decision on Complex Systems, School of Science, Chongqing University of Posts and Telecommunications, hongqing 400065, PR China"],"raw_orcid":"https://orcid.org/0000-0002-2562-5598","affiliations":[{"raw_affiliation_string":"Key Lab of Intelligent Analysis and Decision on Complex Systems, School of Science, Chongqing University of Posts and Telecommunications, hongqing 400065, PR China","institution_ids":["https://openalex.org/I10535382"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5010911377"],"corresponding_institution_ids":["https://openalex.org/I10535382"],"apc_list":{"value":3040,"currency":"USD","value_usd":3040},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.18711301,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"484","issue":null,"first_page":"117432","last_page":"117432"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9157999753952026,"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"}},"topics":[{"id":"https://openalex.org/T10545","display_name":"Optimization and Variational Analysis","score":0.9157999753952026,"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/T10963","display_name":"Advanced Optimization Algorithms Research","score":0.029200000688433647,"subfield":{"id":"https://openalex.org/subfields/2612","display_name":"Numerical Analysis"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12135","display_name":"Fuzzy Systems and Optimization","score":0.012799999676644802,"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/quasiconvex-function","display_name":"Quasiconvex function","score":0.9036999940872192},{"id":"https://openalex.org/keywords/method-of-steepest-descent","display_name":"Method of steepest descent","score":0.5943999886512756},{"id":"https://openalex.org/keywords/sequence","display_name":"Sequence (biology)","score":0.5078999996185303},{"id":"https://openalex.org/keywords/convexity","display_name":"Convexity","score":0.5031999945640564},{"id":"https://openalex.org/keywords/gradient-descent","display_name":"Gradient descent","score":0.4912000000476837},{"id":"https://openalex.org/keywords/descent-direction","display_name":"Descent direction","score":0.446399986743927},{"id":"https://openalex.org/keywords/fuzzy-logic","display_name":"Fuzzy logic","score":0.4343000054359436},{"id":"https://openalex.org/keywords/differentiable-function","display_name":"Differentiable function","score":0.4262000024318695},{"id":"https://openalex.org/keywords/optimization-problem","display_name":"Optimization problem","score":0.3831999897956848},{"id":"https://openalex.org/keywords/descent","display_name":"Descent (aeronautics)","score":0.3824999928474426}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9049000144004822},{"id":"https://openalex.org/C80278974","wikidata":"https://www.wikidata.org/wiki/Q1126412","display_name":"Quasiconvex function","level":5,"score":0.9036999940872192},{"id":"https://openalex.org/C158847443","wikidata":"https://www.wikidata.org/wiki/Q1997812","display_name":"Method of steepest descent","level":2,"score":0.5943999886512756},{"id":"https://openalex.org/C2778112365","wikidata":"https://www.wikidata.org/wiki/Q3511065","display_name":"Sequence (biology)","level":2,"score":0.5078999996185303},{"id":"https://openalex.org/C72134830","wikidata":"https://www.wikidata.org/wiki/Q5166524","display_name":"Convexity","level":2,"score":0.5031999945640564},{"id":"https://openalex.org/C153258448","wikidata":"https://www.wikidata.org/wiki/Q1199743","display_name":"Gradient descent","level":3,"score":0.4912000000476837},{"id":"https://openalex.org/C126255220","wikidata":"https://www.wikidata.org/wiki/Q141495","display_name":"Mathematical optimization","level":1,"score":0.49079999327659607},{"id":"https://openalex.org/C28826006","wikidata":"https://www.wikidata.org/wiki/Q33521","display_name":"Applied mathematics","level":1,"score":0.4586000144481659},{"id":"https://openalex.org/C116149140","wikidata":"https://www.wikidata.org/wiki/Q2070951","display_name":"Descent direction","level":4,"score":0.446399986743927},{"id":"https://openalex.org/C58166","wikidata":"https://www.wikidata.org/wiki/Q224821","display_name":"Fuzzy logic","level":2,"score":0.4343000054359436},{"id":"https://openalex.org/C202615002","wikidata":"https://www.wikidata.org/wiki/Q783507","display_name":"Differentiable function","level":2,"score":0.4262000024318695},{"id":"https://openalex.org/C137836250","wikidata":"https://www.wikidata.org/wiki/Q984063","display_name":"Optimization problem","level":2,"score":0.3831999897956848},{"id":"https://openalex.org/C2776637919","wikidata":"https://www.wikidata.org/wiki/Q624380","display_name":"Descent (aeronautics)","level":2,"score":0.3824999928474426},{"id":"https://openalex.org/C2777212361","wikidata":"https://www.wikidata.org/wiki/Q5127848","display_name":"Class (philosophy)","level":2,"score":0.38109999895095825},{"id":"https://openalex.org/C118888059","wikidata":"https://www.wikidata.org/wiki/Q7254692","display_name":"Pseudoconvex function","level":5,"score":0.3785000145435333},{"id":"https://openalex.org/C145446738","wikidata":"https://www.wikidata.org/wiki/Q319913","display_name":"Convex function","level":3,"score":0.365200012922287},{"id":"https://openalex.org/C28719098","wikidata":"https://www.wikidata.org/wiki/Q44946","display_name":"Point (geometry)","level":2,"score":0.3521000146865845},{"id":"https://openalex.org/C189237950","wikidata":"https://www.wikidata.org/wiki/Q2500758","display_name":"Stationary point","level":2,"score":0.34299999475479126},{"id":"https://openalex.org/C157972887","wikidata":"https://www.wikidata.org/wiki/Q463359","display_name":"Convex optimization","level":3,"score":0.3424000144004822},{"id":"https://openalex.org/C158968445","wikidata":"https://www.wikidata.org/wiki/Q7631150","display_name":"Subgradient method","level":2,"score":0.32339999079704285},{"id":"https://openalex.org/C2777303404","wikidata":"https://www.wikidata.org/wiki/Q759757","display_name":"Convergence (economics)","level":2,"score":0.304500013589859},{"id":"https://openalex.org/C200661725","wikidata":"https://www.wikidata.org/wiki/Q289500","display_name":"Subderivative","level":4,"score":0.3025999963283539},{"id":"https://openalex.org/C38349280","wikidata":"https://www.wikidata.org/wiki/Q1434290","display_name":"Flow (mathematics)","level":2,"score":0.29510000348091125},{"id":"https://openalex.org/C195975749","wikidata":"https://www.wikidata.org/wiki/Q1475705","display_name":"Fuzzy control system","level":3,"score":0.28600001335144043},{"id":"https://openalex.org/C147764199","wikidata":"https://www.wikidata.org/wiki/Q6865248","display_name":"Minification","level":2,"score":0.2824000120162964},{"id":"https://openalex.org/C164088818","wikidata":"https://www.wikidata.org/wiki/Q7917833","display_name":"Vector optimization","level":4,"score":0.2775000035762787},{"id":"https://openalex.org/C2681867","wikidata":"https://www.wikidata.org/wiki/Q690935","display_name":"Saddle point","level":2,"score":0.2750999927520752},{"id":"https://openalex.org/C112680207","wikidata":"https://www.wikidata.org/wiki/Q714886","display_name":"Regular polygon","level":2,"score":0.27480000257492065},{"id":"https://openalex.org/C63548660","wikidata":"https://www.wikidata.org/wiki/Q858223","display_name":"Limit point","level":2,"score":0.27160000801086426},{"id":"https://openalex.org/C48753275","wikidata":"https://www.wikidata.org/wiki/Q11216","display_name":"Numerical analysis","level":2,"score":0.2687000036239624},{"id":"https://openalex.org/C2777021972","wikidata":"https://www.wikidata.org/wiki/Q22976830","display_name":"Uniqueness","level":2,"score":0.2628999948501587}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1016/j.cam.2026.117432","is_oa":false,"landing_page_url":"https://doi.org/10.1016/j.cam.2026.117432","pdf_url":null,"source":{"id":"https://openalex.org/S165473669","display_name":"Journal of Computational and Applied Mathematics","issn_l":"0377-0427","issn":["0377-0427","1879-1778"],"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":"Journal of Computational and Applied Mathematics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[{"id":"https://openalex.org/G4239595564","display_name":null,"funder_award_id":"23HASTIT031","funder_id":"https://openalex.org/F4320336613","funder_display_name":"Science and Technology Innovation Talents in Universities of Henan Province"},{"id":"https://openalex.org/G7859639050","display_name":null,"funder_award_id":"12101100","funder_id":"https://openalex.org/F4320321001","funder_display_name":"National Natural Science Foundation of China"}],"funders":[{"id":"https://openalex.org/F4320321001","display_name":"National Natural Science Foundation of China","ror":"https://ror.org/01h0zpd94"},{"id":"https://openalex.org/F4320336613","display_name":"Science and Technology Innovation Talents in Universities of Henan Province","ror":null}],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":28,"referenced_works":["https://openalex.org/W636069421","https://openalex.org/W1987832787","https://openalex.org/W2000020882","https://openalex.org/W2001359285","https://openalex.org/W2037592439","https://openalex.org/W2038354216","https://openalex.org/W2039064061","https://openalex.org/W2047068616","https://openalex.org/W2070545443","https://openalex.org/W2073833672","https://openalex.org/W2076628063","https://openalex.org/W2082669117","https://openalex.org/W2092092154","https://openalex.org/W2094219041","https://openalex.org/W2095292012","https://openalex.org/W2259353398","https://openalex.org/W2460390974","https://openalex.org/W2580890888","https://openalex.org/W3087973074","https://openalex.org/W3095141645","https://openalex.org/W3119274972","https://openalex.org/W3215710774","https://openalex.org/W4210776009","https://openalex.org/W4211007335","https://openalex.org/W4381331453","https://openalex.org/W4386800052","https://openalex.org/W4387409416","https://openalex.org/W4387614395"],"related_works":[],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-02-18T06:20:13.636215","created_date":"2026-02-11T00:00:00"}
