A note on the representation theorem for nullnorms on bounded lattices Article Swipe

PDF

Zhudeng Wang , Yao Ouyang , Hua-Peng Zhang , Bernard De Baets ·

YOU? · · 2023 · Open Access · · DOI: https://doi.org/10.1016/j.fss.2023.108680

Related Topics

Mathematics

Discrete Mathematics

Mathematical Analysis

Artificial Intelligence

Concepts

Mathematics Bounded function Representation theorem Associative property Norm (philosophy) Representation (politics) Class (philosophy) Pure mathematics Order (exchange) Algebra over a field Discrete mathematics Mathematical analysis Artificial intelligence Politics Finance Law Computer science Political science Economics

Metadata

Type: article
Language: en
Landing Page: https://doi.org/10.1016/j.fss.2023.108680
PDF: https://www.sciencedirect.com/science/article/pii/S0165011423003251
OA Status: bronze
Cited By: 1
References: 6
Related Works: 10
OpenAlex ID: https://openalex.org/W4385813980

All OpenAlex metadata

Raw OpenAlex JSON

OpenAlex ID: https://openalex.org/W4385813980

Canonical identifier for this work in OpenAlex
DOI: https://doi.org/10.1016/j.fss.2023.108680

Digital Object Identifier
Title: A note on the representation theorem for nullnorms on bounded lattices

Work title
Type: article

OpenAlex work type
Language: en

Primary language
Publication year: 2023

Year of publication
Publication date: 2023-08-14

Full publication date if available
Authors: Zhudeng Wang, Yao Ouyang, Hua-Peng Zhang, Bernard De Baets

List of authors in order
Landing page: https://doi.org/10.1016/j.fss.2023.108680

Publisher landing page
PDF URL: https://www.sciencedirect.com/science/article/pii/S0165011423003251

Direct link to full text PDF
Open access: Yes

Whether a free full text is available
OA status: bronze

Open access status per OpenAlex
OA URL: https://www.sciencedirect.com/science/article/pii/S0165011423003251

Direct OA link when available
Concepts: Mathematics, Bounded function, Representation theorem, Associative property, Norm (philosophy), Representation (politics), Class (philosophy), Pure mathematics, Order (exchange), Algebra over a field, Discrete mathematics, Mathematical analysis, Artificial intelligence, Politics, Finance, Law, Computer science, Political science, Economics

Top concepts (fields/topics) attached by OpenAlex
Cited by: 1

Total citation count in OpenAlex
Citations by year (recent): 2025: 1

Per-year citation counts (last 5 years)
References (count): 6

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

Other works algorithmically related by OpenAlex

Full payload

id	https://openalex.org/W4385813980
doi	https://doi.org/10.1016/j.fss.2023.108680
ids.doi	https://doi.org/10.1016/j.fss.2023.108680
ids.openalex	https://openalex.org/W4385813980
fwci	0.3089612
type	article
title	A note on the representation theorem for nullnorms on bounded lattices
biblio.issue
biblio.volume	472
biblio.last_page	108680
biblio.first_page	108680
topics[0].id	https://openalex.org/T11727
topics[0].field.id	https://openalex.org/fields/17
topics[0].field.display_name	Computer Science
topics[0].score	0.9973000288009644
topics[0].domain.id	https://openalex.org/domains/3
topics[0].domain.display_name	Physical Sciences
topics[0].subfield.id	https://openalex.org/subfields/1703
topics[0].subfield.display_name	Computational Theory and Mathematics
topics[0].display_name	Advanced Algebra and Logic
topics[1].id	https://openalex.org/T11671
topics[1].field.id	https://openalex.org/fields/18
topics[1].field.display_name	Decision Sciences
topics[1].score	0.9965000152587891
topics[1].domain.id	https://openalex.org/domains/2
topics[1].domain.display_name	Social Sciences
topics[1].subfield.id	https://openalex.org/subfields/1803
topics[1].subfield.display_name	Management Science and Operations Research
topics[1].display_name	Fuzzy and Soft Set Theory
topics[2].id	https://openalex.org/T11567
topics[2].field.id	https://openalex.org/fields/17
topics[2].field.display_name	Computer Science
topics[2].score	0.9901999831199646
topics[2].domain.id	https://openalex.org/domains/3
topics[2].domain.display_name	Physical Sciences
topics[2].subfield.id	https://openalex.org/subfields/1703
topics[2].subfield.display_name	Computational Theory and Mathematics
topics[2].display_name	semigroups and automata theory
is_xpac	False
apc_list.value	2600
apc_list.currency	USD
apc_list.value_usd	2600
apc_paid
concepts[0].id	https://openalex.org/C33923547
concepts[0].level	0
concepts[0].score	0.9164511561393738
concepts[0].wikidata	https://www.wikidata.org/wiki/Q395
concepts[0].display_name	Mathematics
concepts[1].id	https://openalex.org/C34388435
concepts[1].level	2
concepts[1].score	0.6386440396308899
concepts[1].wikidata	https://www.wikidata.org/wiki/Q2267362
concepts[1].display_name	Bounded function
concepts[2].id	https://openalex.org/C2776230367
concepts[2].level	2
concepts[2].score	0.6362825036048889
concepts[2].wikidata	https://www.wikidata.org/wiki/Q7314222
concepts[2].display_name	Representation theorem
concepts[3].id	https://openalex.org/C159423971
concepts[3].level	2
concepts[3].score	0.6195333003997803
concepts[3].wikidata	https://www.wikidata.org/wiki/Q177251
concepts[3].display_name	Associative property
concepts[4].id	https://openalex.org/C191795146
concepts[4].level	2
concepts[4].score	0.5863931179046631
concepts[4].wikidata	https://www.wikidata.org/wiki/Q3878446
concepts[4].display_name	Norm (philosophy)
concepts[5].id	https://openalex.org/C2776359362
concepts[5].level	3
concepts[5].score	0.5664026737213135
concepts[5].wikidata	https://www.wikidata.org/wiki/Q2145286
concepts[5].display_name	Representation (politics)
concepts[6].id	https://openalex.org/C2777212361
concepts[6].level	2
concepts[6].score	0.5436420440673828
concepts[6].wikidata	https://www.wikidata.org/wiki/Q5127848
concepts[6].display_name	Class (philosophy)
concepts[7].id	https://openalex.org/C202444582
concepts[7].level	1
concepts[7].score	0.5131354928016663
concepts[7].wikidata	https://www.wikidata.org/wiki/Q837863
concepts[7].display_name	Pure mathematics
concepts[8].id	https://openalex.org/C182306322
concepts[8].level	2
concepts[8].score	0.4174528419971466
concepts[8].wikidata	https://www.wikidata.org/wiki/Q1779371
concepts[8].display_name	Order (exchange)
concepts[9].id	https://openalex.org/C136119220
concepts[9].level	2
concepts[9].score	0.3921879231929779
concepts[9].wikidata	https://www.wikidata.org/wiki/Q1000660
concepts[9].display_name	Algebra over a field
concepts[10].id	https://openalex.org/C118615104
concepts[10].level	1
concepts[10].score	0.3480902910232544
concepts[10].wikidata	https://www.wikidata.org/wiki/Q121416
concepts[10].display_name	Discrete mathematics
concepts[11].id	https://openalex.org/C134306372
concepts[11].level	1
concepts[11].score	0.12197896838188171
concepts[11].wikidata	https://www.wikidata.org/wiki/Q7754
concepts[11].display_name	Mathematical analysis
concepts[12].id	https://openalex.org/C154945302
concepts[12].level	1
concepts[12].score	0.05733582377433777
concepts[12].wikidata	https://www.wikidata.org/wiki/Q11660
concepts[12].display_name	Artificial intelligence
concepts[13].id	https://openalex.org/C94625758
concepts[13].level	2
concepts[13].score	0.0
concepts[13].wikidata	https://www.wikidata.org/wiki/Q7163
concepts[13].display_name	Politics
concepts[14].id	https://openalex.org/C10138342
concepts[14].level	1
concepts[14].score	0.0
concepts[14].wikidata	https://www.wikidata.org/wiki/Q43015
concepts[14].display_name	Finance
concepts[15].id	https://openalex.org/C199539241
concepts[15].level	1
concepts[15].score	0.0
concepts[15].wikidata	https://www.wikidata.org/wiki/Q7748
concepts[15].display_name	Law
concepts[16].id	https://openalex.org/C41008148
concepts[16].level	0
concepts[16].score	0.0
concepts[16].wikidata	https://www.wikidata.org/wiki/Q21198
concepts[16].display_name	Computer science
concepts[17].id	https://openalex.org/C17744445
concepts[17].level	0
concepts[17].score	0.0
concepts[17].wikidata	https://www.wikidata.org/wiki/Q36442
concepts[17].display_name	Political science
concepts[18].id	https://openalex.org/C162324750
concepts[18].level	0
concepts[18].score	0.0
concepts[18].wikidata	https://www.wikidata.org/wiki/Q8134
concepts[18].display_name	Economics
keywords[0].id	https://openalex.org/keywords/mathematics
keywords[0].score	0.9164511561393738
keywords[0].display_name	Mathematics
keywords[1].id	https://openalex.org/keywords/bounded-function
keywords[1].score	0.6386440396308899
keywords[1].display_name	Bounded function
keywords[2].id	https://openalex.org/keywords/representation-theorem
keywords[2].score	0.6362825036048889
keywords[2].display_name	Representation theorem
keywords[3].id	https://openalex.org/keywords/associative-property
keywords[3].score	0.6195333003997803
keywords[3].display_name	Associative property
keywords[4].id	https://openalex.org/keywords/norm
keywords[4].score	0.5863931179046631
keywords[4].display_name	Norm (philosophy)
keywords[5].id	https://openalex.org/keywords/representation
keywords[5].score	0.5664026737213135
keywords[5].display_name	Representation (politics)
keywords[6].id	https://openalex.org/keywords/class
keywords[6].score	0.5436420440673828
keywords[6].display_name	Class (philosophy)
keywords[7].id	https://openalex.org/keywords/pure-mathematics
keywords[7].score	0.5131354928016663
keywords[7].display_name	Pure mathematics
keywords[8].id	https://openalex.org/keywords/order
keywords[8].score	0.4174528419971466
keywords[8].display_name	Order (exchange)
keywords[9].id	https://openalex.org/keywords/algebra-over-a-field
keywords[9].score	0.3921879231929779
keywords[9].display_name	Algebra over a field
keywords[10].id	https://openalex.org/keywords/discrete-mathematics
keywords[10].score	0.3480902910232544
keywords[10].display_name	Discrete mathematics
keywords[11].id	https://openalex.org/keywords/mathematical-analysis
keywords[11].score	0.12197896838188171
keywords[11].display_name	Mathematical analysis
keywords[12].id	https://openalex.org/keywords/artificial-intelligence
keywords[12].score	0.05733582377433777
keywords[12].display_name	Artificial intelligence
language	en
locations[0].id	doi:10.1016/j.fss.2023.108680
locations[0].is_oa	True
locations[0].source.id	https://openalex.org/S169411308
locations[0].source.issn	0165-0114, 1872-6801
locations[0].source.type	journal
locations[0].source.is_oa	False
locations[0].source.issn_l	0165-0114
locations[0].source.is_core	True
locations[0].source.is_in_doaj	False
locations[0].source.display_name	Fuzzy Sets and Systems
locations[0].source.host_organization	https://openalex.org/P4310320990
locations[0].source.host_organization_name	Elsevier BV
locations[0].source.host_organization_lineage	https://openalex.org/P4310320990
locations[0].source.host_organization_lineage_names	Elsevier BV
locations[0].license
locations[0].pdf_url	https://www.sciencedirect.com/science/article/pii/S0165011423003251
locations[0].version	publishedVersion
locations[0].raw_type	journal-article
locations[0].license_id
locations[0].is_accepted	True
locations[0].is_published	True
locations[0].raw_source_name	Fuzzy Sets and Systems
locations[0].landing_page_url	https://doi.org/10.1016/j.fss.2023.108680
locations[1].id	pmh:oai:archive.ugent.be:01HHYHNJ8HY1YGSTJA00EE8GZQ
locations[1].is_oa	False
locations[1].source.id	https://openalex.org/S4306400477
locations[1].source.issn
locations[1].source.type	repository
locations[1].source.is_oa	False
locations[1].source.issn_l
locations[1].source.is_core	False
locations[1].source.is_in_doaj	False
locations[1].source.display_name	Ghent University Academic Bibliography (Ghent University)
locations[1].source.host_organization	https://openalex.org/I32597200
locations[1].source.host_organization_name	Ghent University
locations[1].source.host_organization_lineage	https://openalex.org/I32597200
locations[1].license
locations[1].pdf_url
locations[1].version	publishedVersion
locations[1].raw_type	journalArticle
locations[1].license_id
locations[1].is_accepted	True
locations[1].is_published	True
locations[1].raw_source_name	FUZZY SETS AND SYSTEMS
locations[1].landing_page_url	https://biblio.ugent.be/publication/01HHYHNJ8HY1YGSTJA00EE8GZQ
indexed_in	crossref
authorships[0].author.id	https://openalex.org/A5040183822
authorships[0].author.orcid	https://orcid.org/0000-0002-8599-4926
authorships[0].author.display_name	Zhudeng Wang
authorships[0].countries	CN
authorships[0].affiliations[0].institution_ids	https://openalex.org/I4210141689
authorships[0].affiliations[0].raw_affiliation_string	School of Mathematics and Statistics, Yancheng Teachers University, Jiangsu 224002, China
authorships[0].institutions[0].id	https://openalex.org/I4210141689
authorships[0].institutions[0].ror	https://ror.org/042k5fe81
authorships[0].institutions[0].type	education
authorships[0].institutions[0].lineage	https://openalex.org/I4210141689
authorships[0].institutions[0].country_code	CN
authorships[0].institutions[0].display_name	Yancheng Teachers University
authorships[0].author_position	first
authorships[0].raw_author_name	Zhudeng Wang
authorships[0].is_corresponding	False
authorships[0].raw_affiliation_strings	School of Mathematics and Statistics, Yancheng Teachers University, Jiangsu 224002, China
authorships[1].author.id	https://openalex.org/A5004299542
authorships[1].author.orcid	https://orcid.org/0000-0003-0528-8077
authorships[1].author.display_name	Yao Ouyang
authorships[1].countries	CN
authorships[1].affiliations[0].institution_ids	https://openalex.org/I3018263800
authorships[1].affiliations[0].raw_affiliation_string	Faculty of Science, Huzhou University, Huzhou, Zhejiang 313000, China
authorships[1].institutions[0].id	https://openalex.org/I3018263800
authorships[1].institutions[0].ror	https://ror.org/04mvpxy20
authorships[1].institutions[0].type	education
authorships[1].institutions[0].lineage	https://openalex.org/I3018263800
authorships[1].institutions[0].country_code	CN
authorships[1].institutions[0].display_name	Huzhou University
authorships[1].author_position	middle
authorships[1].raw_author_name	Yao Ouyang
authorships[1].is_corresponding	True
authorships[1].raw_affiliation_strings	Faculty of Science, Huzhou University, Huzhou, Zhejiang 313000, China
authorships[2].author.id	https://openalex.org/A5025905335
authorships[2].author.orcid	https://orcid.org/0000-0002-1531-0103
authorships[2].author.display_name	Hua-Peng Zhang
authorships[2].countries	CN
authorships[2].affiliations[0].institution_ids	https://openalex.org/I41198531
authorships[2].affiliations[0].raw_affiliation_string	School of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, China
authorships[2].institutions[0].id	https://openalex.org/I41198531
authorships[2].institutions[0].ror	https://ror.org/043bpky34
authorships[2].institutions[0].type	education
authorships[2].institutions[0].lineage	https://openalex.org/I41198531
authorships[2].institutions[0].country_code	CN
authorships[2].institutions[0].display_name	Nanjing University of Posts and Telecommunications
authorships[2].author_position	middle
authorships[2].raw_author_name	Hua-Peng Zhang
authorships[2].is_corresponding	False
authorships[2].raw_affiliation_strings	School of Science, Nanjing University of Posts and Telecommunications, Nanjing 210023, China
authorships[3].author.id	https://openalex.org/A5012437460
authorships[3].author.orcid	https://orcid.org/0000-0002-3876-620X
authorships[3].author.display_name	Bernard De Baets
authorships[3].countries	BE
authorships[3].affiliations[0].institution_ids	https://openalex.org/I32597200
authorships[3].affiliations[0].raw_affiliation_string	KERMIT, Department of Data Analysis and Mathematical Modelling, Ghent University, Coupure links 653, 9000 Gent, Belgium
authorships[3].institutions[0].id	https://openalex.org/I32597200
authorships[3].institutions[0].ror	https://ror.org/00cv9y106
authorships[3].institutions[0].type	education
authorships[3].institutions[0].lineage	https://openalex.org/I32597200
authorships[3].institutions[0].country_code	BE
authorships[3].institutions[0].display_name	Ghent University
authorships[3].author_position	last
authorships[3].raw_author_name	Bernard De Baets
authorships[3].is_corresponding	False
authorships[3].raw_affiliation_strings	KERMIT, Department of Data Analysis and Mathematical Modelling, Ghent University, Coupure links 653, 9000 Gent, Belgium
has_content.pdf	True
has_content.grobid_xml	True
is_paratext	False
open_access.is_oa	True
open_access.oa_url	https://www.sciencedirect.com/science/article/pii/S0165011423003251
open_access.oa_status	bronze
open_access.any_repository_has_fulltext	False
created_date	2025-10-10T00:00:00
display_name	A note on the representation theorem for nullnorms on bounded lattices
has_fulltext	True
is_retracted	False
updated_date	2025-11-06T03:46:38.306776
primary_topic.id	https://openalex.org/T11727
primary_topic.field.id	https://openalex.org/fields/17
primary_topic.field.display_name	Computer Science
primary_topic.score	0.9973000288009644
primary_topic.domain.id	https://openalex.org/domains/3
primary_topic.domain.display_name	Physical Sciences
primary_topic.subfield.id	https://openalex.org/subfields/1703
primary_topic.subfield.display_name	Computational Theory and Mathematics
primary_topic.display_name	Advanced Algebra and Logic
related_works	https://openalex.org/W3013085049, https://openalex.org/W1492794944, https://openalex.org/W1560496689, https://openalex.org/W4386900933, https://openalex.org/W4385301946, https://openalex.org/W4297797135, https://openalex.org/W3125672081, https://openalex.org/W2561556975, https://openalex.org/W1673581201, https://openalex.org/W2155782347
cited_by_count	1
counts_by_year[0].year	2025
counts_by_year[0].cited_by_count	1
locations_count	2
best_oa_location.id	doi:10.1016/j.fss.2023.108680
best_oa_location.is_oa	True
best_oa_location.source.id	https://openalex.org/S169411308
best_oa_location.source.issn	0165-0114, 1872-6801
best_oa_location.source.type	journal
best_oa_location.source.is_oa	False
best_oa_location.source.issn_l	0165-0114
best_oa_location.source.is_core	True
best_oa_location.source.is_in_doaj	False
best_oa_location.source.display_name	Fuzzy Sets and Systems
best_oa_location.source.host_organization	https://openalex.org/P4310320990
best_oa_location.source.host_organization_name	Elsevier BV
best_oa_location.source.host_organization_lineage	https://openalex.org/P4310320990
best_oa_location.source.host_organization_lineage_names	Elsevier BV
best_oa_location.license
best_oa_location.pdf_url	https://www.sciencedirect.com/science/article/pii/S0165011423003251
best_oa_location.version	publishedVersion
best_oa_location.raw_type	journal-article
best_oa_location.license_id
best_oa_location.is_accepted	True
best_oa_location.is_published	True
best_oa_location.raw_source_name	Fuzzy Sets and Systems
best_oa_location.landing_page_url	https://doi.org/10.1016/j.fss.2023.108680
primary_location.id	doi:10.1016/j.fss.2023.108680
primary_location.is_oa	True
primary_location.source.id	https://openalex.org/S169411308
primary_location.source.issn	0165-0114, 1872-6801
primary_location.source.type	journal
primary_location.source.is_oa	False
primary_location.source.issn_l	0165-0114
primary_location.source.is_core	True
primary_location.source.is_in_doaj	False
primary_location.source.display_name	Fuzzy Sets and Systems
primary_location.source.host_organization	https://openalex.org/P4310320990
primary_location.source.host_organization_name	Elsevier BV
primary_location.source.host_organization_lineage	https://openalex.org/P4310320990
primary_location.source.host_organization_lineage_names	Elsevier BV
primary_location.license
primary_location.pdf_url	https://www.sciencedirect.com/science/article/pii/S0165011423003251
primary_location.version	publishedVersion
primary_location.raw_type	journal-article
primary_location.license_id
primary_location.is_accepted	True
primary_location.is_published	True
primary_location.raw_source_name	Fuzzy Sets and Systems
primary_location.landing_page_url	https://doi.org/10.1016/j.fss.2023.108680
publication_date	2023-08-14
publication_year	2023
referenced_works	https://openalex.org/W2043951079, https://openalex.org/W860336327, https://openalex.org/W3036903839, https://openalex.org/W3196210515, https://openalex.org/W3103975717, https://openalex.org/W1573036064
referenced_works_count	6
abstract_inverted_index
cited_by_percentile_year.max	95
cited_by_percentile_year.min	91
corresponding_author_ids	https://openalex.org/A5004299542
countries_distinct_count	2
institutions_distinct_count	4
corresponding_institution_ids	https://openalex.org/I3018263800
sustainable_development_goals[0].id	https://metadata.un.org/sdg/10
sustainable_development_goals[0].score	0.41999998688697815
sustainable_development_goals[0].display_name	Reduced inequalities
citation_normalized_percentile.value	0.57570998
citation_normalized_percentile.is_in_top_1_percent	False
citation_normalized_percentile.is_in_top_10_percent	False