{"id":"https:\/\/openalex.org\/W434858493","doi":"https:\/\/doi.org\/10.1007\/bf02281714","title":"Representation of interval operations by coordinates","display_name":"Representation of interval operations by coordinates","publication_year":1980,"publication_date":"1980-06-01","ids":{"openalex":"https:\/\/openalex.org\/W434858493","doi":"https:\/\/doi.org\/10.1007\/bf02281714","mag":"434858493"},"language":"en","primary_location":{"id":"doi:10.1007\/bf02281714","is_oa":false,"landing_page_url":"https:\/\/doi.org\/10.1007\/bf02281714","pdf_url":null,"source":{"id":"https:\/\/openalex.org\/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https:\/\/openalex.org\/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https:\/\/openalex.org\/P4310319900","https:\/\/openalex.org\/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computing","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\/A5041512150","display_name":"H. Ratschek","orcid":null},"institutions":[{"id":"https:\/\/openalex.org\/I44260953","display_name":"Heinrich Heine University D\u00fcsseldorf","ror":"https:\/\/ror.org\/024z2rq82","country_code":"DE","type":"education","lineage":["https:\/\/openalex.org\/I44260953"]}],"countries":["DE"],"is_corresponding":true,"raw_author_name":"H. Ratschek","raw_affiliation_strings":["Mathematisches Institut, Universit\u00e4t D\u00fcsseldorf, Universit\u00e4tsstrasse 1, D-4000, D\u00fcsseldorf, Federal Republic of Germany","Mathematisches Institut, Universit\u00e4t D\u00fcsseldorf, D\u00fcsseldorf, Federal Republic of Germany"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Mathematisches Institut, Universit\u00e4t D\u00fcsseldorf, Universit\u00e4tsstrasse 1, D-4000, D\u00fcsseldorf, Federal Republic of Germany","institution_ids":["https:\/\/openalex.org\/I44260953"]},{"raw_affiliation_string":"Mathematisches Institut, Universit\u00e4t D\u00fcsseldorf, D\u00fcsseldorf, Federal Republic of Germany","institution_ids":["https:\/\/openalex.org\/I44260953"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https:\/\/openalex.org\/A5041512150"],"corresponding_institution_ids":["https:\/\/openalex.org\/I44260953"],"apc_list":{"value":3290,"currency":"USD","value_usd":3290},"apc_paid":null,"fwci":1.6895,"has_fulltext":false,"cited_by_count":10,"citation_normalized_percentile":{"value":0.84361233,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"24","issue":"2-3","first_page":"93","last_page":"96"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https:\/\/openalex.org\/T10320","display_name":"Neural Networks and Applications","score":0.8762000203132629,"subfield":{"id":"https:\/\/openalex.org\/subfields\/1702","display_name":"Artificial Intelligence"},"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\/T10320","display_name":"Neural Networks and Applications","score":0.8762000203132629,"subfield":{"id":"https:\/\/openalex.org\/subfields\/1702","display_name":"Artificial Intelligence"},"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\/T10820","display_name":"Fuzzy Logic and Control Systems","score":0.8422999978065491,"subfield":{"id":"https:\/\/openalex.org\/subfields\/1702","display_name":"Artificial Intelligence"},"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\/T11697","display_name":"Numerical Methods and Algorithms","score":0.8068000078201294,"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\/multiplication","display_name":"Multiplication (music)","score":0.7877113819122314},{"id":"https:\/\/openalex.org\/keywords\/interval","display_name":"Interval (graph theory)","score":0.7214927673339844},{"id":"https:\/\/openalex.org\/keywords\/representation","display_name":"Representation (politics)","score":0.7150737643241882},{"id":"https:\/\/openalex.org\/keywords\/arithmetic","display_name":"Arithmetic","score":0.6400676965713501},{"id":"https:\/\/openalex.org\/keywords\/interval-arithmetic","display_name":"Interval arithmetic","score":0.5718564987182617},{"id":"https:\/\/openalex.org\/keywords\/mathematics","display_name":"Mathematics","score":0.5533522963523865},{"id":"https:\/\/openalex.org\/keywords\/algebra-over-a-field","display_name":"Algebra over a field","score":0.5031065344810486},{"id":"https:\/\/openalex.org\/keywords\/algorithm","display_name":"Algorithm","score":0.3561638593673706},{"id":"https:\/\/openalex.org\/keywords\/mathematical-analysis","display_name":"Mathematical analysis","score":0.20287713408470154},{"id":"https:\/\/openalex.org\/keywords\/combinatorics","display_name":"Combinatorics","score":0.20232680439949036},{"id":"https:\/\/openalex.org\/keywords\/pure-mathematics","display_name":"Pure mathematics","score":0.18510374426841736}],"concepts":[{"id":"https:\/\/openalex.org\/C2780595030","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.7877113819122314},{"id":"https:\/\/openalex.org\/C2778067643","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q166507","display_name":"Interval (graph theory)","level":2,"score":0.7214927673339844},{"id":"https:\/\/openalex.org\/C2776359362","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q2145286","display_name":"Representation (politics)","level":3,"score":0.7150737643241882},{"id":"https:\/\/openalex.org\/C94375191","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q11205","display_name":"Arithmetic","level":1,"score":0.6400676965713501},{"id":"https:\/\/openalex.org\/C191252586","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q1671453","display_name":"Interval arithmetic","level":3,"score":0.5718564987182617},{"id":"https:\/\/openalex.org\/C33923547","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q395","display_name":"Mathematics","level":0,"score":0.5533522963523865},{"id":"https:\/\/openalex.org\/C136119220","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q1000660","display_name":"Algebra over a field","level":2,"score":0.5031065344810486},{"id":"https:\/\/openalex.org\/C11413529","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q8366","display_name":"Algorithm","level":1,"score":0.3561638593673706},{"id":"https:\/\/openalex.org\/C134306372","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q7754","display_name":"Mathematical analysis","level":1,"score":0.20287713408470154},{"id":"https:\/\/openalex.org\/C114614502","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q76592","display_name":"Combinatorics","level":1,"score":0.20232680439949036},{"id":"https:\/\/openalex.org\/C202444582","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q837863","display_name":"Pure mathematics","level":1,"score":0.18510374426841736},{"id":"https:\/\/openalex.org\/C17744445","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q36442","display_name":"Political science","level":0,"score":0},{"id":"https:\/\/openalex.org\/C94625758","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q7163","display_name":"Politics","level":2,"score":0},{"id":"https:\/\/openalex.org\/C199539241","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q7748","display_name":"Law","level":1,"score":0},{"id":"https:\/\/openalex.org\/C34388435","wikidata":"https:\/\/www.wikidata.org\/wiki\/Q2267362","display_name":"Bounded function","level":2,"score":0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1007\/bf02281714","is_oa":false,"landing_page_url":"https:\/\/doi.org\/10.1007\/bf02281714","pdf_url":null,"source":{"id":"https:\/\/openalex.org\/S35593046","display_name":"Computing","issn_l":"0010-485X","issn":["0010-485X","1436-5057"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https:\/\/openalex.org\/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https:\/\/openalex.org\/P4310319900","https:\/\/openalex.org\/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Computing","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[{"display_name":"Reduced inequalities","id":"https:\/\/metadata.un.org\/sdg\/10","score":0.4399999976158142}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":1,"referenced_works":["https:\/\/openalex.org\/W3127823229"],"related_works":["https:\/\/openalex.org\/W2181927644","https:\/\/openalex.org\/W2756505297","https:\/\/openalex.org\/W2090319426","https:\/\/openalex.org\/W2036954759","https:\/\/openalex.org\/W2057797376","https:\/\/openalex.org\/W2520934858","https:\/\/openalex.org\/W2098412892","https:\/\/openalex.org\/W2990487117","https:\/\/openalex.org\/W2130323825","https:\/\/openalex.org\/W2012882356"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-08-21T09:56:20.448147","created_date":"2025-10-10T00:00:00"}