Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W3211516828', 'doi': 'https://doi.org/10.1016/j.fss.2021.11.001', 'title': 'Pointed order polytopes: Studying geometrical aspects of the polytope of bi-capacities', 'display_name': 'Pointed order polytopes: Studying geometrical aspects of the polytope of bi-capacities', 'publication_year': 2021, 'publication_date': '2021-11-08', 'ids': {'openalex': 'https://openalex.org/W3211516828', 'doi': 'https://doi.org/10.1016/j.fss.2021.11.001', 'mag': '3211516828'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1016/j.fss.2021.11.001', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S169411308', 'display_name': 'Fuzzy Sets and Systems', 'issn_l': '0165-0114', 'issn': ['0165-0114', '1872-6801'], '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': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, 'type': 'article', 'type_crossref': 'journal-article', 'indexed_in': ['crossref'], 'open_access': {'is_oa': True, 'oa_status': 'green', 'oa_url': 'https://docta.ucm.es/bitstreams/124d944b-242d-4fd6-b345-5d41cd4fd4f0/download', 'any_repository_has_fulltext': True}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5082020865', 'display_name': 'Pedro Miranda', 'orcid': 'https://orcid.org/0000-0002-4931-3636'}, 'institutions': [{'id': 'https://openalex.org/I121748325', 'display_name': 'Universidad Complutense de Madrid', 'ror': 'https://ror.org/02p0gd045', 'country_code': 'ES', 'type': 'education', 'lineage': ['https://openalex.org/I121748325']}], 'countries': ['ES'], 'is_corresponding': True, 'raw_author_name': 'P. Miranda', 'raw_affiliation_strings': ['Complutense University of Madrid, Plaza de Ciencias, 3, 28040 Madrid, Spain'], 'affiliations': [{'raw_affiliation_string': 'Complutense University of Madrid, Plaza de Ciencias, 3, 28040 Madrid, Spain', 'institution_ids': ['https://openalex.org/I121748325']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5040740510', 'display_name': 'P. García-Segador', 'orcid': 'https://orcid.org/0000-0001-5079-4900'}, 'institutions': [], 'countries': ['ES'], 'is_corresponding': False, 'raw_author_name': 'P. García-Segador', 'raw_affiliation_strings': ['National Statistics Institute, Paseo de la Castellana, 183, 28071 Madrid, Spain'], 'affiliations': [{'raw_affiliation_string': 'National Statistics Institute, Paseo de la Castellana, 183, 28071 Madrid, Spain', 'institution_ids': []}]}], 'institution_assertions': [], 'countries_distinct_count': 1, 'institutions_distinct_count': 1, 'corresponding_author_ids': ['https://openalex.org/A5082020865'], 'corresponding_institution_ids': ['https://openalex.org/I121748325'], 'apc_list': {'value': 2600, 'currency': 'USD', 'value_usd': 2600, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 0.153, 'has_fulltext': True, 'fulltext_origin': 'pdf', 'cited_by_count': 1, 'citation_normalized_percentile': {'value': 0.466338, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 57, 'max': 67}, 'biblio': {'volume': '444', 'issue': None, 'first_page': '182', 'last_page': '205'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T10050', 'display_name': 'Multi-Criteria Decision Making', 'score': 0.9968, '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': 0.9968, '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/T11063', 'display_name': 'Rough Sets and Fuzzy Logic', 'score': 0.9755, '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/T11727', 'display_name': 'Advanced Algebra and Logic', 'score': 0.9732, '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'}}], 'keywords': [{'id': 'https://openalex.org/keywords/polytope-model', 'display_name': 'Polytope model', 'score': 0.6301074}, {'id': 'https://openalex.org/keywords/birkhoff-polytope', 'display_name': 'Birkhoff polytope', 'score': 0.6214386}, {'id': 'https://openalex.org/keywords/adjacency-list', 'display_name': 'Adjacency list', 'score': 0.49444985}], 'concepts': [{'id': 'https://openalex.org/C145691206', 'wikidata': 'https://www.wikidata.org/wiki/Q747980', 'display_name': 'Polytope', 'level': 2, 'score': 0.93495893}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.7950347}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.75387347}, {'id': 'https://openalex.org/C113391598', 'wikidata': 'https://www.wikidata.org/wiki/Q1681391', 'display_name': 'Polytope model', 'level': 3, 'score': 0.6301074}, {'id': 'https://openalex.org/C206304794', 'wikidata': 'https://www.wikidata.org/wiki/Q4916482', 'display_name': 'Birkhoff polytope', 'level': 5, 'score': 0.6214386}, {'id': 'https://openalex.org/C177148314', 'wikidata': 'https://www.wikidata.org/wiki/Q170084', 'display_name': 'Generalization', 'level': 2, 'score': 0.5873046}, {'id': 'https://openalex.org/C16507315', 'wikidata': 'https://www.wikidata.org/wiki/Q7885104', 'display_name': 'Uniform k 21 polytope', 'level': 5, 'score': 0.5097355}, {'id': 'https://openalex.org/C182306322', 'wikidata': 'https://www.wikidata.org/wiki/Q1779371', 'display_name': 'Order (exchange)', 'level': 2, 'score': 0.50775135}, {'id': 'https://openalex.org/C177264268', 'wikidata': 'https://www.wikidata.org/wiki/Q1514741', 'display_name': 'Set (abstract data type)', 'level': 2, 'score': 0.49536455}, {'id': 'https://openalex.org/C110484373', 'wikidata': 'https://www.wikidata.org/wiki/Q264398', 'display_name': 'Adjacency list', 'level': 2, 'score': 0.49444985}, {'id': 'https://openalex.org/C2780586882', 'wikidata': 'https://www.wikidata.org/wiki/Q7520643', 'display_name': 'Simple (philosophy)', 'level': 2, 'score': 0.4631725}, {'id': 'https://openalex.org/C118615104', 'wikidata': 'https://www.wikidata.org/wiki/Q121416', 'display_name': 'Discrete mathematics', 'level': 1, 'score': 0.38454014}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.14164162}, {'id': 'https://openalex.org/C41008148', 'wikidata': 'https://www.wikidata.org/wiki/Q21198', 'display_name': 'Computer science', 'level': 0, 'score': 0.14148438}, {'id': 'https://openalex.org/C49870271', 'wikidata': 'https://www.wikidata.org/wiki/Q193657', 'display_name': 'Convex set', 'level': 4, 'score': 0.073473394}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.06464276}, {'id': 'https://openalex.org/C112680207', 'wikidata': 'https://www.wikidata.org/wiki/Q714886', 'display_name': 'Regular polygon', 'level': 2, 'score': 0.061502963}, {'id': 'https://openalex.org/C10138342', 'wikidata': 'https://www.wikidata.org/wiki/Q43015', 'display_name': 'Finance', 'level': 1, 'score': 0.0}, {'id': 'https://openalex.org/C162324750', 'wikidata': 'https://www.wikidata.org/wiki/Q8134', 'display_name': 'Economics', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C138885662', 'wikidata': 'https://www.wikidata.org/wiki/Q5891', 'display_name': 'Philosophy', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C157972887', 'wikidata': 'https://www.wikidata.org/wiki/Q463359', 'display_name': 'Convex optimization', 'level': 3, 'score': 0.0}, {'id': 'https://openalex.org/C111472728', 'wikidata': 'https://www.wikidata.org/wiki/Q9471', 'display_name': 'Epistemology', '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}], 'mesh': [], 'locations_count': 2, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1016/j.fss.2021.11.001', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S169411308', 'display_name': 'Fuzzy Sets and Systems', 'issn_l': '0165-0114', 'issn': ['0165-0114', '1872-6801'], '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': None, 'license_id': None, 'version': None, 'is_accepted': False, 'is_published': False}, {'is_oa': True, 'landing_page_url': 'https://eprints.ucm.es/id/eprint/75934/1/miranda_pointed.pdf', 'pdf_url': 'https://docta.ucm.es/bitstreams/124d944b-242d-4fd6-b345-5d41cd4fd4f0/download', 'source': {'id': 'https://openalex.org/S4377196321', 'display_name': 'EPrints Complutense Repositorio Institucional de la UCM (Universidad Complutense de Madrid)', 'issn_l': None, 'issn': None, 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I121748325', 'host_organization_name': 'Universidad Complutense de Madrid', 'host_organization_lineage': ['https://openalex.org/I121748325'], 'host_organization_lineage_names': ['Universidad Complutense de Madrid'], 'type': 'repository'}, 'license': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}], 'best_oa_location': {'is_oa': True, 'landing_page_url': 'https://eprints.ucm.es/id/eprint/75934/1/miranda_pointed.pdf', 'pdf_url': 'https://docta.ucm.es/bitstreams/124d944b-242d-4fd6-b345-5d41cd4fd4f0/download', 'source': {'id': 'https://openalex.org/S4377196321', 'display_name': 'EPrints Complutense Repositorio Institucional de la UCM (Universidad Complutense de Madrid)', 'issn_l': None, 'issn': None, 'is_oa': False, 'is_in_doaj': False, 'is_core': False, 'host_organization': 'https://openalex.org/I121748325', 'host_organization_name': 'Universidad Complutense de Madrid', 'host_organization_lineage': ['https://openalex.org/I121748325'], 'host_organization_lineage_names': ['Universidad Complutense de Madrid'], 'type': 'repository'}, 'license': 'other-oa', 'license_id': 'https://openalex.org/licenses/other-oa', 'version': 'submittedVersion', 'is_accepted': False, 'is_published': False}, 'sustainable_development_goals': [{'score': 0.81, 'display_name': 'Peace, justice, and strong institutions', 'id': 'https://metadata.un.org/sdg/16'}], 'grants': [{'funder': 'https://openalex.org/F4320326262', 'funder_display_name': 'Ministerio de Asuntos Económicos y Transformación Digital, Gobierno de España', 'award_id': None}], 'datasets': [], 'versions': [], 'referenced_works_count': 25, 'referenced_works': ['https://openalex.org/W1595054980', 'https://openalex.org/W1979423085', 'https://openalex.org/W1985045340', 'https://openalex.org/W2008818676', 'https://openalex.org/W2011231726', 'https://openalex.org/W2015981446', 'https://openalex.org/W2017449401', 'https://openalex.org/W2018696312', 'https://openalex.org/W2033810643', 'https://openalex.org/W2035145079', 'https://openalex.org/W2043244511', 'https://openalex.org/W2046274824', 'https://openalex.org/W2062759921', 'https://openalex.org/W2076129127', 'https://openalex.org/W2265863226', 'https://openalex.org/W2564750231', 'https://openalex.org/W2615766754', 'https://openalex.org/W2770206720', 'https://openalex.org/W2941927152', 'https://openalex.org/W2943904342', 'https://openalex.org/W2946905971', 'https://openalex.org/W2954578042', 'https://openalex.org/W3040873453', 'https://openalex.org/W3043771091', 'https://openalex.org/W3123056373'], 'related_works': ['https://openalex.org/W4243575619', 'https://openalex.org/W3211516828', 'https://openalex.org/W3172969108', 'https://openalex.org/W3128934906', 'https://openalex.org/W2953291927', 'https://openalex.org/W2950788243', 'https://openalex.org/W2950031786', 'https://openalex.org/W2778515850', 'https://openalex.org/W2133290691', 'https://openalex.org/W2089946268'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W3211516828', 'counts_by_year': [{'year': 2023, 'cited_by_count': 1}], 'updated_date': '2024-12-09T18:58:47.429235', 'created_date': '2021-11-22'}