{"id":"https://openalex.org/W1554160480","doi":"https://doi.org/10.1007/978-3-540-77664-2_17","title":"A Lattice-Theoretic Interpretation of Independence of Frames","display_name":"A Lattice-Theoretic Interpretation of Independence of Frames","publication_year":2008,"publication_date":"2008-01-10","ids":{"openalex":"https://openalex.org/W1554160480","doi":"https://doi.org/10.1007/978-3-540-77664-2_17","mag":"1554160480"},"language":"en","primary_location":{"id":"doi:10.1007/978-3-540-77664-2_17","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-77664-2_17","pdf_url":null,"source":{"id":"https://openalex.org/S4210167543","display_name":"Advances in soft computing","issn_l":"1615-3871","issn":["1615-3871","1860-0794"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Soft Computing","raw_type":"book-chapter"},"type":"book-chapter","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/A5050777136","display_name":"Fabio Cuzzolin","orcid":"https://orcid.org/0000-0002-9271-2130"},"institutions":[{"id":"https://openalex.org/I1326498283","display_name":"Institut national de recherche en informatique et en automatique","ror":"https://ror.org/02kvxyf05","country_code":"FR","type":"funder","lineage":["https://openalex.org/I1326498283"]}],"countries":["FR"],"is_corresponding":true,"raw_author_name":"Fabio Cuzzolin","raw_affiliation_strings":["INRIA Rh\u00f4ne-Alpes, 655 avenue de l\u2019Europe, 38334, SAINT ISMIER, CEDEX, France","INRIA Rh\u00f4ne-Alpes#TAB#"],"affiliations":[{"raw_affiliation_string":"INRIA Rh\u00f4ne-Alpes, 655 avenue de l\u2019Europe, 38334, SAINT ISMIER, CEDEX, France","institution_ids":["https://openalex.org/I1326498283"]},{"raw_affiliation_string":"INRIA Rh\u00f4ne-Alpes#TAB#","institution_ids":["https://openalex.org/I1326498283"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5050777136"],"corresponding_institution_ids":["https://openalex.org/I1326498283"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.09842015,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":null,"issue":null,"first_page":"214","last_page":"227"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9872999787330627,"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"}},"topics":[{"id":"https://openalex.org/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9872999787330627,"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/independence","display_name":"Independence (probability theory)","score":0.7807034254074097},{"id":"https://openalex.org/keywords/interpretation","display_name":"Interpretation (philosophy)","score":0.5816164016723633},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.5755791664123535},{"id":"https://openalex.org/keywords/lattice","display_name":"Lattice (music)","score":0.5317365527153015},{"id":"https://openalex.org/keywords/analogy","display_name":"Analogy","score":0.4612402617931366},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4362216591835022},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.4186161458492279},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.3786926567554474},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.27109694480895996},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.2535935938358307},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.09533363580703735},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.07648488879203796},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07418817281723022}],"concepts":[{"id":"https://openalex.org/C35651441","wikidata":"https://www.wikidata.org/wiki/Q625303","display_name":"Independence (probability theory)","level":2,"score":0.7807034254074097},{"id":"https://openalex.org/C527412718","wikidata":"https://www.wikidata.org/wiki/Q855395","display_name":"Interpretation (philosophy)","level":2,"score":0.5816164016723633},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.5755791664123535},{"id":"https://openalex.org/C2781204021","wikidata":"https://www.wikidata.org/wiki/Q6497091","display_name":"Lattice (music)","level":2,"score":0.5317365527153015},{"id":"https://openalex.org/C521332185","wikidata":"https://www.wikidata.org/wiki/Q185816","display_name":"Analogy","level":2,"score":0.4612402617931366},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4362216591835022},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.4186161458492279},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.3786926567554474},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.27109694480895996},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.2535935938358307},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.09533363580703735},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.07648488879203796},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07418817281723022},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","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},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0}],"mesh":[],"locations_count":2,"locations":[{"id":"doi:10.1007/978-3-540-77664-2_17","is_oa":false,"landing_page_url":"https://doi.org/10.1007/978-3-540-77664-2_17","pdf_url":null,"source":{"id":"https://openalex.org/S4210167543","display_name":"Advances in soft computing","issn_l":"1615-3871","issn":["1615-3871","1860-0794"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319965","host_organization_name":"Springer Nature","host_organization_lineage":["https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Nature"],"type":"book series"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Advances in Soft Computing","raw_type":"book-chapter"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.362.5666","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.362.5666","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://cms.brookes.ac.uk/staff/FabioCuzzolin/files/unclog08lattice.pdf","raw_type":"text"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":false,"pdf":false},"content_urls":null,"referenced_works_count":26,"referenced_works":["https://openalex.org/W25288802","https://openalex.org/W52593152","https://openalex.org/W57407544","https://openalex.org/W71784065","https://openalex.org/W564528207","https://openalex.org/W1487342528","https://openalex.org/W1504575379","https://openalex.org/W1509631034","https://openalex.org/W1600834507","https://openalex.org/W1885624442","https://openalex.org/W1968736254","https://openalex.org/W1981643872","https://openalex.org/W1987699575","https://openalex.org/W1993075287","https://openalex.org/W2017215485","https://openalex.org/W2023716082","https://openalex.org/W2048196003","https://openalex.org/W2096088275","https://openalex.org/W2114463407","https://openalex.org/W2139573824","https://openalex.org/W2154127879","https://openalex.org/W2169756989","https://openalex.org/W2221717181","https://openalex.org/W2540443233","https://openalex.org/W2797148637","https://openalex.org/W4301347335"],"related_works":["https://openalex.org/W2392206215","https://openalex.org/W2365201483","https://openalex.org/W2355561779","https://openalex.org/W2352407775","https://openalex.org/W2186567693","https://openalex.org/W108701362","https://openalex.org/W2469799552","https://openalex.org/W2768582344","https://openalex.org/W5819577","https://openalex.org/W2359831739"],"abstract_inverted_index":null,"counts_by_year":[],"updated_date":"2026-04-05T17:49:38.594831","created_date":"2025-10-10T00:00:00"}