Get quick answers to your questions about the article from our AI researcher chatbot
{'id': 'https://openalex.org/W2973604913', 'doi': 'https://doi.org/10.1016/j.ins.2019.09.023', 'title': 'Generalized Hukuhara Gâteaux and Fréchet derivatives of interval-valued functions and their application in optimization with interval-valued functions', 'display_name': 'Generalized Hukuhara Gâteaux and Fréchet derivatives of interval-valued functions and their application in optimization with interval-valued functions', 'publication_year': 2019, 'publication_date': '2019-09-18', 'ids': {'openalex': 'https://openalex.org/W2973604913', 'doi': 'https://doi.org/10.1016/j.ins.2019.09.023', 'mag': '2973604913'}, 'language': 'en', 'primary_location': {'is_oa': False, 'landing_page_url': 'https://doi.org/10.1016/j.ins.2019.09.023', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S192650101', 'display_name': 'Information Sciences', 'issn_l': '0020-0255', 'issn': ['0020-0255', '1872-6291'], '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': False, 'oa_status': 'closed', 'oa_url': None, 'any_repository_has_fulltext': False}, 'authorships': [{'author_position': 'first', 'author': {'id': 'https://openalex.org/A5087372767', 'display_name': 'Debdas Ghosh', 'orcid': 'https://orcid.org/0000-0003-2419-7082'}, 'institutions': [{'id': 'https://openalex.org/I56404289', 'display_name': 'Indian Institute of Technology BHU', 'ror': 'https://ror.org/01kh5gc44', 'country_code': 'IN', 'type': 'education', 'lineage': ['https://openalex.org/I56404289']}, {'id': 'https://openalex.org/I91357014', 'display_name': 'Banaras Hindu University', 'ror': 'https://ror.org/04cdn2797', 'country_code': 'IN', 'type': 'education', 'lineage': ['https://openalex.org/I91357014']}], 'countries': ['IN'], 'is_corresponding': False, 'raw_author_name': 'Debdas Ghosh', 'raw_affiliation_strings': ['Department of Mathematical Sciences, Indian Institute of Technology (BHU) Varanasi Uttar Pradesh–221005, India'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematical Sciences, Indian Institute of Technology (BHU) Varanasi Uttar Pradesh–221005, India', 'institution_ids': ['https://openalex.org/I56404289', 'https://openalex.org/I91357014']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5080013844', 'display_name': 'Ram Surat Chauhan', 'orcid': None}, 'institutions': [{'id': 'https://openalex.org/I56404289', 'display_name': 'Indian Institute of Technology BHU', 'ror': 'https://ror.org/01kh5gc44', 'country_code': 'IN', 'type': 'education', 'lineage': ['https://openalex.org/I56404289']}, {'id': 'https://openalex.org/I91357014', 'display_name': 'Banaras Hindu University', 'ror': 'https://ror.org/04cdn2797', 'country_code': 'IN', 'type': 'education', 'lineage': ['https://openalex.org/I91357014']}], 'countries': ['IN'], 'is_corresponding': False, 'raw_author_name': 'Ram Surat Chauhan', 'raw_affiliation_strings': ['Department of Mathematical Sciences, Indian Institute of Technology (BHU) Varanasi Uttar Pradesh–221005, India'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematical Sciences, Indian Institute of Technology (BHU) Varanasi Uttar Pradesh–221005, India', 'institution_ids': ['https://openalex.org/I56404289', 'https://openalex.org/I91357014']}]}, {'author_position': 'middle', 'author': {'id': 'https://openalex.org/A5058341815', 'display_name': 'Radko Mesiar', 'orcid': 'https://orcid.org/0000-0001-6503-949X'}, 'institutions': [{'id': 'https://openalex.org/I70703428', 'display_name': 'Palacký University Olomouc', 'ror': 'https://ror.org/04qxnmv42', 'country_code': 'CZ', 'type': 'education', 'lineage': ['https://openalex.org/I70703428']}, {'id': 'https://openalex.org/I110757952', 'display_name': 'Slovak University of Technology in Bratislava', 'ror': 'https://ror.org/0561ghm58', 'country_code': 'SK', 'type': 'education', 'lineage': ['https://openalex.org/I110757952']}], 'countries': ['CZ', 'SK'], 'is_corresponding': True, 'raw_author_name': 'Radko Mesiar', 'raw_affiliation_strings': ['Faculty of Civil Engineering, Slovak University of Technology, Bratislava, Radlinského 11, 810 05, Slovakia', 'Palacký University Olomouc, Faculty of Science, Department of Algebra and Geometry, 17. listopadu 12, Olomouc 771 46, Czech Republic'], 'affiliations': [{'raw_affiliation_string': 'Palacký University Olomouc, Faculty of Science, Department of Algebra and Geometry, 17. listopadu 12, Olomouc 771 46, Czech Republic', 'institution_ids': ['https://openalex.org/I70703428']}, {'raw_affiliation_string': 'Faculty of Civil Engineering, Slovak University of Technology, Bratislava, Radlinského 11, 810 05, Slovakia', 'institution_ids': ['https://openalex.org/I110757952']}]}, {'author_position': 'last', 'author': {'id': 'https://openalex.org/A5005729985', 'display_name': 'Amit Kumar Debnath', 'orcid': 'https://orcid.org/0000-0003-3752-9939'}, 'institutions': [{'id': 'https://openalex.org/I56404289', 'display_name': 'Indian Institute of Technology BHU', 'ror': 'https://ror.org/01kh5gc44', 'country_code': 'IN', 'type': 'education', 'lineage': ['https://openalex.org/I56404289']}, {'id': 'https://openalex.org/I91357014', 'display_name': 'Banaras Hindu University', 'ror': 'https://ror.org/04cdn2797', 'country_code': 'IN', 'type': 'education', 'lineage': ['https://openalex.org/I91357014']}], 'countries': ['IN'], 'is_corresponding': False, 'raw_author_name': 'Amit Kumar Debnath', 'raw_affiliation_strings': ['Department of Mathematical Sciences, Indian Institute of Technology (BHU) Varanasi Uttar Pradesh–221005, India'], 'affiliations': [{'raw_affiliation_string': 'Department of Mathematical Sciences, Indian Institute of Technology (BHU) Varanasi Uttar Pradesh–221005, India', 'institution_ids': ['https://openalex.org/I56404289', 'https://openalex.org/I91357014']}]}], 'institution_assertions': [], 'countries_distinct_count': 3, 'institutions_distinct_count': 4, 'corresponding_author_ids': ['https://openalex.org/A5058341815'], 'corresponding_institution_ids': ['https://openalex.org/I70703428', 'https://openalex.org/I110757952'], 'apc_list': {'value': 3330, 'currency': 'USD', 'value_usd': 3330, 'provenance': 'doaj'}, 'apc_paid': None, 'fwci': 4.42, 'has_fulltext': True, 'fulltext_origin': 'ngrams', 'cited_by_count': 46, 'citation_normalized_percentile': {'value': 0.859508, 'is_in_top_1_percent': False, 'is_in_top_10_percent': False}, 'cited_by_percentile_year': {'min': 96, 'max': 97}, 'biblio': {'volume': '510', 'issue': None, 'first_page': '317', 'last_page': '340'}, 'is_retracted': False, 'is_paratext': False, 'primary_topic': {'id': 'https://openalex.org/T12135', 'display_name': 'Fuzzy Systems and Optimization', 'score': 0.9999, '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'}}, 'topics': [{'id': 'https://openalex.org/T12135', 'display_name': 'Fuzzy Systems and Optimization', 'score': 0.9999, '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'}}, {'id': 'https://openalex.org/T10050', 'display_name': 'Multi-Criteria Decision Making', 'score': 0.9978, '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/T10545', 'display_name': 'Optimization and Variational Analysis', 'score': 0.9975, '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/fréchet-derivative', 'display_name': 'Fréchet derivative', 'score': 0.76792765}, {'id': 'https://openalex.org/keywords/convexity', 'display_name': 'Convexity', 'score': 0.6928125}, {'id': 'https://openalex.org/keywords/derivative', 'display_name': 'Derivative (finance)', 'score': 0.6016722}, {'id': 'https://openalex.org/keywords/directional-derivative', 'display_name': 'Directional derivative', 'score': 0.58645415}, {'id': 'https://openalex.org/keywords/material-derivative', 'display_name': 'Material derivative', 'score': 0.43481633}], 'concepts': [{'id': 'https://openalex.org/C118335899', 'wikidata': 'https://www.wikidata.org/wiki/Q1305350', 'display_name': 'Fréchet derivative', 'level': 3, 'score': 0.76792765}, {'id': 'https://openalex.org/C22324862', 'wikidata': 'https://www.wikidata.org/wiki/Q652707', 'display_name': 'Lipschitz continuity', 'level': 2, 'score': 0.76611805}, {'id': 'https://openalex.org/C2778067643', 'wikidata': 'https://www.wikidata.org/wiki/Q166507', 'display_name': 'Interval (graph theory)', 'level': 2, 'score': 0.7549944}, {'id': 'https://openalex.org/C33923547', 'wikidata': 'https://www.wikidata.org/wiki/Q395', 'display_name': 'Mathematics', 'level': 0, 'score': 0.71239495}, {'id': 'https://openalex.org/C72134830', 'wikidata': 'https://www.wikidata.org/wiki/Q5166524', 'display_name': 'Convexity', 'level': 2, 'score': 0.6928125}, {'id': 'https://openalex.org/C111771559', 'wikidata': 'https://www.wikidata.org/wiki/Q66295', 'display_name': 'Derivative (finance)', 'level': 2, 'score': 0.6016722}, {'id': 'https://openalex.org/C2011187', 'wikidata': 'https://www.wikidata.org/wiki/Q383851', 'display_name': 'Directional derivative', 'level': 2, 'score': 0.58645415}, {'id': 'https://openalex.org/C184537036', 'wikidata': 'https://www.wikidata.org/wiki/Q14163503', 'display_name': 'Generalizations of the derivative', 'level': 3, 'score': 0.55505323}, {'id': 'https://openalex.org/C14036430', 'wikidata': 'https://www.wikidata.org/wiki/Q3736076', 'display_name': 'Function (biology)', 'level': 2, 'score': 0.53308415}, {'id': 'https://openalex.org/C145446738', 'wikidata': 'https://www.wikidata.org/wiki/Q319913', 'display_name': 'Convex function', 'level': 3, 'score': 0.52853984}, {'id': 'https://openalex.org/C72169020', 'wikidata': 'https://www.wikidata.org/wiki/Q194404', 'display_name': 'Monotonic function', 'level': 2, 'score': 0.5229143}, {'id': 'https://openalex.org/C33257320', 'wikidata': 'https://www.wikidata.org/wiki/Q1932744', 'display_name': 'Second derivative', 'level': 2, 'score': 0.46939698}, {'id': 'https://openalex.org/C134306372', 'wikidata': 'https://www.wikidata.org/wiki/Q7754', 'display_name': 'Mathematical analysis', 'level': 1, 'score': 0.44948587}, {'id': 'https://openalex.org/C111915175', 'wikidata': 'https://www.wikidata.org/wiki/Q1801562', 'display_name': 'Material derivative', 'level': 2, 'score': 0.43481633}, {'id': 'https://openalex.org/C112680207', 'wikidata': 'https://www.wikidata.org/wiki/Q714886', 'display_name': 'Regular polygon', 'level': 2, 'score': 0.38997728}, {'id': 'https://openalex.org/C202444582', 'wikidata': 'https://www.wikidata.org/wiki/Q837863', 'display_name': 'Pure mathematics', 'level': 1, 'score': 0.34805483}, {'id': 'https://openalex.org/C114614502', 'wikidata': 'https://www.wikidata.org/wiki/Q76592', 'display_name': 'Combinatorics', 'level': 1, 'score': 0.29098344}, {'id': 'https://openalex.org/C132954091', 'wikidata': 'https://www.wikidata.org/wiki/Q194397', 'display_name': 'Banach space', 'level': 2, 'score': 0.1980769}, {'id': 'https://openalex.org/C2524010', 'wikidata': 'https://www.wikidata.org/wiki/Q8087', 'display_name': 'Geometry', 'level': 1, 'score': 0.14619505}, {'id': 'https://openalex.org/C10138342', 'wikidata': 'https://www.wikidata.org/wiki/Q43015', 'display_name': 'Finance', 'level': 1, 'score': 0.06667963}, {'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/C162324750', 'wikidata': 'https://www.wikidata.org/wiki/Q8134', 'display_name': 'Economics', 'level': 0, 'score': 0.0}, {'id': 'https://openalex.org/C86803240', 'wikidata': 'https://www.wikidata.org/wiki/Q420', 'display_name': 'Biology', 'level': 0, 'score': 0.0}], 'mesh': [], 'locations_count': 1, 'locations': [{'is_oa': False, 'landing_page_url': 'https://doi.org/10.1016/j.ins.2019.09.023', 'pdf_url': None, 'source': {'id': 'https://openalex.org/S192650101', 'display_name': 'Information Sciences', 'issn_l': '0020-0255', 'issn': ['0020-0255', '1872-6291'], '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}], 'best_oa_location': None, 'sustainable_development_goals': [], 'grants': [], 'datasets': [], 'versions': [], 'referenced_works_count': 35, 'referenced_works': ['https://openalex.org/W1531645310', 'https://openalex.org/W1812679367', 'https://openalex.org/W1967779834', 'https://openalex.org/W1972280390', 'https://openalex.org/W1986928005', 'https://openalex.org/W2001359285', 'https://openalex.org/W2009054772', 'https://openalex.org/W2032997840', 'https://openalex.org/W2034038007', 'https://openalex.org/W2035990529', 'https://openalex.org/W2039795101', 'https://openalex.org/W2050676121', 'https://openalex.org/W2066191367', 'https://openalex.org/W2070545443', 'https://openalex.org/W2073833672', 'https://openalex.org/W2081026153', 'https://openalex.org/W2094855429', 'https://openalex.org/W2099025530', 'https://openalex.org/W2146795783', 'https://openalex.org/W2207921638', 'https://openalex.org/W2235457012', 'https://openalex.org/W2253109038', 'https://openalex.org/W2263292316', 'https://openalex.org/W2460390974', 'https://openalex.org/W2580890888', 'https://openalex.org/W2688676922', 'https://openalex.org/W2765691494', 'https://openalex.org/W2766367445', 'https://openalex.org/W2786546330', 'https://openalex.org/W2801266866', 'https://openalex.org/W2884661192', 'https://openalex.org/W2904409949', 'https://openalex.org/W2939107207', 'https://openalex.org/W2958182118', 'https://openalex.org/W952765504'], 'related_works': ['https://openalex.org/W4299507264', 'https://openalex.org/W2973604913', 'https://openalex.org/W2963067150', 'https://openalex.org/W2962978177', 'https://openalex.org/W2376373908', 'https://openalex.org/W2372512380', 'https://openalex.org/W2364861597', 'https://openalex.org/W2100384283', 'https://openalex.org/W2097846334', 'https://openalex.org/W2064205779'], 'abstract_inverted_index': None, 'cited_by_api_url': 'https://api.openalex.org/works?filter=cites:W2973604913', 'counts_by_year': [{'year': 2024, 'cited_by_count': 3}, {'year': 2023, 'cited_by_count': 17}, {'year': 2022, 'cited_by_count': 11}, {'year': 2021, 'cited_by_count': 12}, {'year': 2020, 'cited_by_count': 3}], 'updated_date': '2024-12-11T02:11:54.529945', 'created_date': '2019-09-26'}