Some characterizations of robust optimal solutions for uncertain fractional optimization and applications Article Swipe

PDF

Xiangkai Sun , Xian-Jun Long , Hongyong Fu , Xiaobing Li ·

YOU? · · 2016 · Open Access · · DOI: https://doi.org/10.3934/jimo.2016047

In this paper, following the framework of robust optimization, we consider robust optimal solutions for a fractional optimization problem in the face of data uncertainty both in the objective and constraints. To this end, by using the properties of the subdifferential sum formulae, we first introduce some robust basic subdifferential constraint qualifications, and then obtain some completely characterizations of the robust optimal solutions of this uncertain fractional optimization problem. We show that our results encompass as special cases some optimization problems considered in the recent literature. Moreover, as applications, the proposed approach is applied to investigate weakly robust efficient solutions for multi-objective fractional optimization problems in the face of data uncertainty both in the objective and constraints.

Related Topics

Concepts

Robust optimization Mathematical optimization Subderivative Optimization problem Constrained optimization problem Face (sociological concept) Computer science Constraint (computer-aided design) Mathematics Convex optimization Regular polygon Social science Sociology Geometry

Metadata

Type: article
Language: en
Landing Page: https://doi.org/10.3934/jimo.2016047
PDF: https://www.aimsciences.org/article/exportPdf?id=4b772214-a606-41dc-a7cc-c7e1648f3c73
OA Status: diamond
Cited By: 18
References: 39
Related Works: 10
OpenAlex ID: https://openalex.org/W2509694544

All OpenAlex metadata

Raw OpenAlex JSON

OpenAlex ID: https://openalex.org/W2509694544

Canonical identifier for this work in OpenAlex
DOI: https://doi.org/10.3934/jimo.2016047

Digital Object Identifier
Title: Some characterizations of robust optimal solutions for uncertain fractional optimization and applications

Work title
Type: article

OpenAlex work type
Language: en

Primary language
Publication year: 2016

Year of publication
Publication date: 2016-08-19

Full publication date if available
Authors: Xiangkai Sun, Xian-Jun Long, Hongyong Fu, Xiaobing Li

List of authors in order
Landing page: https://doi.org/10.3934/jimo.2016047

Publisher landing page
PDF URL: https://www.aimsciences.org/article/exportPdf?id=4b772214-a606-41dc-a7cc-c7e1648f3c73

Direct link to full text PDF
Open access: Yes

Whether a free full text is available
OA status: diamond

Open access status per OpenAlex
OA URL: https://www.aimsciences.org/article/exportPdf?id=4b772214-a606-41dc-a7cc-c7e1648f3c73

Direct OA link when available
Concepts: Robust optimization, Mathematical optimization, Subderivative, Optimization problem, Constrained optimization problem, Face (sociological concept), Computer science, Constraint (computer-aided design), Mathematics, Convex optimization, Regular polygon, Social science, Sociology, Geometry

Top concepts (fields/topics) attached by OpenAlex
Cited by: 18

Total citation count in OpenAlex
Citations by year (recent): 2024: 1, 2023: 2, 2021: 5, 2020: 2, 2019: 5

Per-year citation counts (last 5 years)
References (count): 39

Number of works referenced by this work
Related works (count): 10

Other works algorithmically related by OpenAlex

Full payload

id	https://openalex.org/W2509694544
doi	https://doi.org/10.3934/jimo.2016047
ids.doi	https://doi.org/10.3934/jimo.2016047
ids.mag	2509694544
ids.openalex	https://openalex.org/W2509694544
fwci	2.40807217
type	article
title	Some characterizations of robust optimal solutions for uncertain fractional optimization and applications
biblio.issue	2
biblio.volume	13
biblio.last_page	824
biblio.first_page	803
topics[0].id	https://openalex.org/T11413
topics[0].field.id	https://openalex.org/fields/18
topics[0].field.display_name	Decision Sciences
topics[0].score	0.9991000294685364
topics[0].domain.id	https://openalex.org/domains/2
topics[0].domain.display_name	Social Sciences
topics[0].subfield.id	https://openalex.org/subfields/1803
topics[0].subfield.display_name	Management Science and Operations Research
topics[0].display_name	Risk and Portfolio Optimization
topics[1].id	https://openalex.org/T10545
topics[1].field.id	https://openalex.org/fields/17
topics[1].field.display_name	Computer Science
topics[1].score	0.9987000226974487
topics[1].domain.id	https://openalex.org/domains/3
topics[1].domain.display_name	Physical Sciences
topics[1].subfield.id	https://openalex.org/subfields/1703
topics[1].subfield.display_name	Computational Theory and Mathematics
topics[1].display_name	Optimization and Variational Analysis
topics[2].id	https://openalex.org/T12135
topics[2].field.id	https://openalex.org/fields/26
topics[2].field.display_name	Mathematics
topics[2].score	0.9983000159263611
topics[2].domain.id	https://openalex.org/domains/3
topics[2].domain.display_name	Physical Sciences
topics[2].subfield.id	https://openalex.org/subfields/2613
topics[2].subfield.display_name	Statistics and Probability
topics[2].display_name	Fuzzy Systems and Optimization
is_xpac	False
apc_list
apc_paid
concepts[0].id	https://openalex.org/C193254401
concepts[0].level	2
concepts[0].score	0.8319149613380432
concepts[0].wikidata	https://www.wikidata.org/wiki/Q2160088
concepts[0].display_name	Robust optimization
concepts[1].id	https://openalex.org/C126255220
concepts[1].level	1
concepts[1].score	0.7154055237770081
concepts[1].wikidata	https://www.wikidata.org/wiki/Q141495
concepts[1].display_name	Mathematical optimization
concepts[2].id	https://openalex.org/C200661725
concepts[2].level	4
concepts[2].score	0.6831578016281128
concepts[2].wikidata	https://www.wikidata.org/wiki/Q289500
concepts[2].display_name	Subderivative
concepts[3].id	https://openalex.org/C137836250
concepts[3].level	2
concepts[3].score	0.6175022721290588
concepts[3].wikidata	https://www.wikidata.org/wiki/Q984063
concepts[3].display_name	Optimization problem
concepts[4].id	https://openalex.org/C2989514635
concepts[4].level	3
concepts[4].score	0.5633389949798584
concepts[4].wikidata	https://www.wikidata.org/wiki/Q5164377
concepts[4].display_name	Constrained optimization problem
concepts[5].id	https://openalex.org/C2779304628
concepts[5].level	2
concepts[5].score	0.5316551327705383
concepts[5].wikidata	https://www.wikidata.org/wiki/Q3503480
concepts[5].display_name	Face (sociological concept)
concepts[6].id	https://openalex.org/C41008148
concepts[6].level	0
concepts[6].score	0.5279062390327454
concepts[6].wikidata	https://www.wikidata.org/wiki/Q21198
concepts[6].display_name	Computer science
concepts[7].id	https://openalex.org/C2776036281
concepts[7].level	2
concepts[7].score	0.45939135551452637
concepts[7].wikidata	https://www.wikidata.org/wiki/Q48769818
concepts[7].display_name	Constraint (computer-aided design)
concepts[8].id	https://openalex.org/C33923547
concepts[8].level	0
concepts[8].score	0.4500728249549866
concepts[8].wikidata	https://www.wikidata.org/wiki/Q395
concepts[8].display_name	Mathematics
concepts[9].id	https://openalex.org/C157972887
concepts[9].level	3
concepts[9].score	0.3037378489971161
concepts[9].wikidata	https://www.wikidata.org/wiki/Q463359
concepts[9].display_name	Convex optimization
concepts[10].id	https://openalex.org/C112680207
concepts[10].level	2
concepts[10].score	0.2548391819000244
concepts[10].wikidata	https://www.wikidata.org/wiki/Q714886
concepts[10].display_name	Regular polygon
concepts[11].id	https://openalex.org/C36289849
concepts[11].level	1
concepts[11].score	0.0
concepts[11].wikidata	https://www.wikidata.org/wiki/Q34749
concepts[11].display_name	Social science
concepts[12].id	https://openalex.org/C144024400
concepts[12].level	0
concepts[12].score	0.0
concepts[12].wikidata	https://www.wikidata.org/wiki/Q21201
concepts[12].display_name	Sociology
concepts[13].id	https://openalex.org/C2524010
concepts[13].level	1
concepts[13].score	0.0
concepts[13].wikidata	https://www.wikidata.org/wiki/Q8087
concepts[13].display_name	Geometry
keywords[0].id	https://openalex.org/keywords/robust-optimization
keywords[0].score	0.8319149613380432
keywords[0].display_name	Robust optimization
keywords[1].id	https://openalex.org/keywords/mathematical-optimization
keywords[1].score	0.7154055237770081
keywords[1].display_name	Mathematical optimization
keywords[2].id	https://openalex.org/keywords/subderivative
keywords[2].score	0.6831578016281128
keywords[2].display_name	Subderivative
keywords[3].id	https://openalex.org/keywords/optimization-problem
keywords[3].score	0.6175022721290588
keywords[3].display_name	Optimization problem
keywords[4].id	https://openalex.org/keywords/constrained-optimization-problem
keywords[4].score	0.5633389949798584
keywords[4].display_name	Constrained optimization problem
keywords[5].id	https://openalex.org/keywords/face
keywords[5].score	0.5316551327705383
keywords[5].display_name	Face (sociological concept)
keywords[6].id	https://openalex.org/keywords/computer-science
keywords[6].score	0.5279062390327454
keywords[6].display_name	Computer science
keywords[7].id	https://openalex.org/keywords/constraint
keywords[7].score	0.45939135551452637
keywords[7].display_name	Constraint (computer-aided design)
keywords[8].id	https://openalex.org/keywords/mathematics
keywords[8].score	0.4500728249549866
keywords[8].display_name	Mathematics
keywords[9].id	https://openalex.org/keywords/convex-optimization
keywords[9].score	0.3037378489971161
keywords[9].display_name	Convex optimization
keywords[10].id	https://openalex.org/keywords/regular-polygon
keywords[10].score	0.2548391819000244
keywords[10].display_name	Regular polygon
language	en
locations[0].id	doi:10.3934/jimo.2016047
locations[0].is_oa	True
locations[0].source.id	https://openalex.org/S114365116
locations[0].source.issn	1547-5816, 1553-166X
locations[0].source.type	journal
locations[0].source.is_oa	True
locations[0].source.issn_l	1547-5816
locations[0].source.is_core	True
locations[0].source.is_in_doaj	False
locations[0].source.display_name	Journal of Industrial and Management Optimization
locations[0].source.host_organization	https://openalex.org/P4310315844
locations[0].source.host_organization_name	American Institute of Mathematical Sciences
locations[0].source.host_organization_lineage	https://openalex.org/P4310315844
locations[0].source.host_organization_lineage_names	American Institute of Mathematical Sciences
locations[0].license	cc-by
locations[0].pdf_url	https://www.aimsciences.org/article/exportPdf?id=4b772214-a606-41dc-a7cc-c7e1648f3c73
locations[0].version	publishedVersion
locations[0].raw_type	journal-article
locations[0].license_id	https://openalex.org/licenses/cc-by
locations[0].is_accepted	True
locations[0].is_published	True
locations[0].raw_source_name	Journal of Industrial & Management Optimization
locations[0].landing_page_url	https://doi.org/10.3934/jimo.2016047
indexed_in	crossref
authorships[0].author.id	https://openalex.org/A5037155394
authorships[0].author.orcid	https://orcid.org/0000-0002-4329-9845
authorships[0].author.display_name	Xiangkai Sun
authorships[0].author_position	first
authorships[0].raw_author_name	Xiang-Kai Sun
authorships[0].is_corresponding	False
authorships[1].author.id	https://openalex.org/A5101528579
authorships[1].author.orcid	https://orcid.org/0000-0002-9254-7673
authorships[1].author.display_name	Xian-Jun Long
authorships[1].author_position	middle
authorships[1].raw_author_name	Xian-Jun Long
authorships[1].is_corresponding	False
authorships[2].author.id	https://openalex.org/A5084069838
authorships[2].author.orcid	https://orcid.org/0000-0002-4017-8749
authorships[2].author.display_name	Hongyong Fu
authorships[2].author_position	middle
authorships[2].raw_author_name	Hong-Yong Fu
authorships[2].is_corresponding	False
authorships[3].author.id	https://openalex.org/A5100375524
authorships[3].author.orcid	https://orcid.org/0000-0002-4177-5887
authorships[3].author.display_name	Xiaobing Li
authorships[3].author_position	last
authorships[3].raw_author_name	Xiao-Bing Li
authorships[3].is_corresponding	False
has_content.pdf	True
has_content.grobid_xml	True
is_paratext	False
open_access.is_oa	True
open_access.oa_url	https://www.aimsciences.org/article/exportPdf?id=4b772214-a606-41dc-a7cc-c7e1648f3c73
open_access.oa_status	diamond
open_access.any_repository_has_fulltext	False
created_date	2025-10-10T00:00:00
display_name	Some characterizations of robust optimal solutions for uncertain fractional optimization and applications
has_fulltext	False
is_retracted	False
updated_date	2025-11-06T03:46:38.306776
primary_topic.id	https://openalex.org/T11413
primary_topic.field.id	https://openalex.org/fields/18
primary_topic.field.display_name	Decision Sciences
primary_topic.score	0.9991000294685364
primary_topic.domain.id	https://openalex.org/domains/2
primary_topic.domain.display_name	Social Sciences
primary_topic.subfield.id	https://openalex.org/subfields/1803
primary_topic.subfield.display_name	Management Science and Operations Research
primary_topic.display_name	Risk and Portfolio Optimization
related_works	https://openalex.org/W3149055374, https://openalex.org/W2216231335, https://openalex.org/W2053131036, https://openalex.org/W4386254288, https://openalex.org/W4292572523, https://openalex.org/W2087726221, https://openalex.org/W2809352861, https://openalex.org/W2056349093, https://openalex.org/W3154369540, https://openalex.org/W4226155999
cited_by_count	18
counts_by_year[0].year	2024
counts_by_year[0].cited_by_count	1
counts_by_year[1].year	2023
counts_by_year[1].cited_by_count	2
counts_by_year[2].year	2021
counts_by_year[2].cited_by_count	5
counts_by_year[3].year	2020
counts_by_year[3].cited_by_count	2
counts_by_year[4].year	2019
counts_by_year[4].cited_by_count	5
counts_by_year[5].year	2018
counts_by_year[5].cited_by_count	1
counts_by_year[6].year	2017
counts_by_year[6].cited_by_count	2
locations_count	1
best_oa_location.id	doi:10.3934/jimo.2016047
best_oa_location.is_oa	True
best_oa_location.source.id	https://openalex.org/S114365116
best_oa_location.source.issn	1547-5816, 1553-166X
best_oa_location.source.type	journal
best_oa_location.source.is_oa	True
best_oa_location.source.issn_l	1547-5816
best_oa_location.source.is_core	True
best_oa_location.source.is_in_doaj	False
best_oa_location.source.display_name	Journal of Industrial and Management Optimization
best_oa_location.source.host_organization	https://openalex.org/P4310315844
best_oa_location.source.host_organization_name	American Institute of Mathematical Sciences
best_oa_location.source.host_organization_lineage	https://openalex.org/P4310315844
best_oa_location.source.host_organization_lineage_names	American Institute of Mathematical Sciences
best_oa_location.license	cc-by
best_oa_location.pdf_url	https://www.aimsciences.org/article/exportPdf?id=4b772214-a606-41dc-a7cc-c7e1648f3c73
best_oa_location.version	publishedVersion
best_oa_location.raw_type	journal-article
best_oa_location.license_id	https://openalex.org/licenses/cc-by
best_oa_location.is_accepted	True
best_oa_location.is_published	True
best_oa_location.raw_source_name	Journal of Industrial & Management Optimization
best_oa_location.landing_page_url	https://doi.org/10.3934/jimo.2016047
primary_location.id	doi:10.3934/jimo.2016047
primary_location.is_oa	True
primary_location.source.id	https://openalex.org/S114365116
primary_location.source.issn	1547-5816, 1553-166X
primary_location.source.type	journal
primary_location.source.is_oa	True
primary_location.source.issn_l	1547-5816
primary_location.source.is_core	True
primary_location.source.is_in_doaj	False
primary_location.source.display_name	Journal of Industrial and Management Optimization
primary_location.source.host_organization	https://openalex.org/P4310315844
primary_location.source.host_organization_name	American Institute of Mathematical Sciences
primary_location.source.host_organization_lineage	https://openalex.org/P4310315844
primary_location.source.host_organization_lineage_names	American Institute of Mathematical Sciences
primary_location.license	cc-by
primary_location.pdf_url	https://www.aimsciences.org/article/exportPdf?id=4b772214-a606-41dc-a7cc-c7e1648f3c73
primary_location.version	publishedVersion
primary_location.raw_type	journal-article
primary_location.license_id	https://openalex.org/licenses/cc-by
primary_location.is_accepted	True
primary_location.is_published	True
primary_location.raw_source_name	Journal of Industrial & Management Optimization
primary_location.landing_page_url	https://doi.org/10.3934/jimo.2016047
publication_date	2016-08-19
publication_year	2016
referenced_works	https://openalex.org/W2076694117, https://openalex.org/W4251616545, https://openalex.org/W1504946885, https://openalex.org/W4240520568, https://openalex.org/W2092061595, https://openalex.org/W2050337140, https://openalex.org/W2166364496, https://openalex.org/W2019324320, https://openalex.org/W2042359424, https://openalex.org/W2313299146, https://openalex.org/W2014172855, https://openalex.org/W1998073116, https://openalex.org/W1997125751, https://openalex.org/W1974461824, https://openalex.org/W1502437643, https://openalex.org/W2330925237, https://openalex.org/W1603742108, https://openalex.org/W6641290938, https://openalex.org/W4239992743, https://openalex.org/W4247165901, https://openalex.org/W2082221223, https://openalex.org/W1998690242, https://openalex.org/W1966854304, https://openalex.org/W1971121476, https://openalex.org/W2089614239, https://openalex.org/W2044088357, https://openalex.org/W2042874075, https://openalex.org/W1992510806, https://openalex.org/W1541527977, https://openalex.org/W2093404847, https://openalex.org/W1964192645, https://openalex.org/W1569990960, https://openalex.org/W4245281898, https://openalex.org/W2131116400, https://openalex.org/W2343315751, https://openalex.org/W3123798451, https://openalex.org/W1983688269, https://openalex.org/W2059740345, https://openalex.org/W85096072
referenced_works_count	39
abstract_inverted_index.a	15
abstract_inverted_index.In	0
abstract_inverted_index.To	31
abstract_inverted_index.We	69
abstract_inverted_index.as	75, 87
abstract_inverted_index.by	34
abstract_inverted_index.in	19, 26, 82, 105, 112
abstract_inverted_index.is	92
abstract_inverted_index.of	6, 22, 38, 58, 63, 108
abstract_inverted_index.to	94
abstract_inverted_index.we	9, 43
abstract_inverted_index.and	29, 52, 115
abstract_inverted_index.for	14, 100
abstract_inverted_index.our	72
abstract_inverted_index.sum	41
abstract_inverted_index.the	4, 20, 27, 36, 39, 59, 83, 89, 106, 113
abstract_inverted_index.both	25, 111
abstract_inverted_index.data	23, 109
abstract_inverted_index.end,	33
abstract_inverted_index.face	21, 107
abstract_inverted_index.show	70
abstract_inverted_index.some	46, 55, 78
abstract_inverted_index.that	71
abstract_inverted_index.then	53
abstract_inverted_index.this	1, 32, 64
abstract_inverted_index.basic	48
abstract_inverted_index.cases	77
abstract_inverted_index.first	44
abstract_inverted_index.using	35
abstract_inverted_index.obtain	54
abstract_inverted_index.paper,	2
abstract_inverted_index.recent	84
abstract_inverted_index.robust	7, 11, 47, 60, 97
abstract_inverted_index.weakly	96
abstract_inverted_index.applied	93
abstract_inverted_index.optimal	12, 61
abstract_inverted_index.problem	18
abstract_inverted_index.results	73
abstract_inverted_index.special	76
abstract_inverted_index.approach	91
abstract_inverted_index.consider	10
abstract_inverted_index.problem.	68
abstract_inverted_index.problems	80, 104
abstract_inverted_index.proposed	90
abstract_inverted_index.Moreover,	86
abstract_inverted_index.efficient	98
abstract_inverted_index.encompass	74
abstract_inverted_index.following	3
abstract_inverted_index.formulae,	42
abstract_inverted_index.framework	5
abstract_inverted_index.introduce	45
abstract_inverted_index.objective	28, 114
abstract_inverted_index.solutions	13, 62, 99
abstract_inverted_index.uncertain	65
abstract_inverted_index.completely	56
abstract_inverted_index.considered	81
abstract_inverted_index.constraint	50
abstract_inverted_index.fractional	16, 66, 102
abstract_inverted_index.properties	37
abstract_inverted_index.investigate	95
abstract_inverted_index.literature.	85
abstract_inverted_index.uncertainty	24, 110
abstract_inverted_index.constraints.	30, 116
abstract_inverted_index.optimization	17, 67, 79, 103
abstract_inverted_index.applications,	88
abstract_inverted_index.optimization,	8
abstract_inverted_index.multi-objective	101
abstract_inverted_index.qualifications,	51
abstract_inverted_index.subdifferential	40, 49
abstract_inverted_index.characterizations	57
cited_by_percentile_year.max	98
cited_by_percentile_year.min	90
countries_distinct_count	0
institutions_distinct_count	4
citation_normalized_percentile.value	0.92197042
citation_normalized_percentile.is_in_top_1_percent	False
citation_normalized_percentile.is_in_top_10_percent	True