{"id":"https://openalex.org/W2113446403","doi":"https://doi.org/10.3217/jucs-013-11-1767","title":"Metric-Entropy Pairs on Lattices","display_name":"Metric-Entropy Pairs on Lattices","publication_year":2020,"publication_date":"2020-04-07","ids":{"openalex":"https://openalex.org/W2113446403","doi":"https://doi.org/10.3217/jucs-013-11-1767","mag":"2113446403"},"language":"en","primary_location":{"id":"pmh:oai:zenodo.org:7000008","is_oa":true,"landing_page_url":"https://zenodo.org/record/7000008","pdf_url":"https://zenodo.org/record/7000008","source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"JUCS - Journal of Universal Computer Science 13((11)) 1767-1778","raw_type":"info:eu-repo/semantics/article"},"type":"article","indexed_in":["datacite"],"open_access":{"is_oa":true,"oa_status":"green","oa_url":"https://zenodo.org/record/7000008","any_repository_has_fulltext":true},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5072140970","display_name":"Dan A. Simovici","orcid":null},"institutions":[{"id":"https://openalex.org/I33434090","display_name":"University of Massachusetts Boston","ror":"https://ror.org/04ydmy275","country_code":"US","type":"education","lineage":["https://openalex.org/I33434090"]}],"countries":["US"],"is_corresponding":true,"raw_author_name":"Dan Simovici","raw_affiliation_strings":["[University of Massachusetts, Boston]"],"affiliations":[{"raw_affiliation_string":"[University of Massachusetts, Boston]","institution_ids":["https://openalex.org/I33434090"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5072140970"],"corresponding_institution_ids":["https://openalex.org/I33434090"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":true,"cited_by_count":3,"citation_normalized_percentile":{"value":0.00293784,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"13","issue":null,"first_page":"1767","last_page":null},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11727","display_name":"Advanced Algebra and Logic","score":0.9988999962806702,"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/T11727","display_name":"Advanced Algebra and Logic","score":0.9988999962806702,"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/T11063","display_name":"Rough Sets and Fuzzy Logic","score":0.9983000159263611,"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/T12002","display_name":"Computability, Logic, AI Algorithms","score":0.9779999852180481,"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/computer-science","display_name":"Computer science","score":0.6697344779968262},{"id":"https://openalex.org/keywords/algebraic-number","display_name":"Algebraic number","score":0.6232765316963196},{"id":"https://openalex.org/keywords/entropy","display_name":"Entropy (arrow of time)","score":0.5813086628913879},{"id":"https://openalex.org/keywords/metric","display_name":"Metric (unit)","score":0.5626665353775024},{"id":"https://openalex.org/keywords/algebraic-structure","display_name":"Algebraic structure","score":0.44661396741867065},{"id":"https://openalex.org/keywords/theoretical-computer-science","display_name":"Theoretical computer science","score":0.3911990225315094},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.24681425094604492},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.18246489763259888},{"id":"https://openalex.org/keywords/physics","display_name":"Physics","score":0.07231000065803528},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.05707690119743347},{"id":"https://openalex.org/keywords/thermodynamics","display_name":"Thermodynamics","score":0.049427419900894165}],"concepts":[{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.6697344779968262},{"id":"https://openalex.org/C9376300","wikidata":"https://www.wikidata.org/wiki/Q168817","display_name":"Algebraic number","level":2,"score":0.6232765316963196},{"id":"https://openalex.org/C106301342","wikidata":"https://www.wikidata.org/wiki/Q4117933","display_name":"Entropy (arrow of time)","level":2,"score":0.5813086628913879},{"id":"https://openalex.org/C176217482","wikidata":"https://www.wikidata.org/wiki/Q860554","display_name":"Metric (unit)","level":2,"score":0.5626665353775024},{"id":"https://openalex.org/C182419690","wikidata":"https://www.wikidata.org/wiki/Q205464","display_name":"Algebraic structure","level":2,"score":0.44661396741867065},{"id":"https://openalex.org/C80444323","wikidata":"https://www.wikidata.org/wiki/Q2878974","display_name":"Theoretical computer science","level":1,"score":0.3911990225315094},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.24681425094604492},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.18246489763259888},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.07231000065803528},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.05707690119743347},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.049427419900894165},{"id":"https://openalex.org/C162324750","wikidata":"https://www.wikidata.org/wiki/Q8134","display_name":"Economics","level":0,"score":0.0},{"id":"https://openalex.org/C21547014","wikidata":"https://www.wikidata.org/wiki/Q1423657","display_name":"Operations management","level":1,"score":0.0}],"mesh":[],"locations_count":5,"locations":[{"id":"pmh:oai:zenodo.org:7000008","is_oa":true,"landing_page_url":"https://zenodo.org/record/7000008","pdf_url":"https://zenodo.org/record/7000008","source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"JUCS - Journal of Universal Computer Science 13((11)) 1767-1778","raw_type":"info:eu-repo/semantics/article"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.134.2035","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.134.2035","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.jucs.org/jucs_13_11/metric_entropy_pairs_on/jucs_13_11_1767_1778_simovici.pdf","raw_type":"text"},{"id":"pmh:oai:CiteSeerX.psu:10.1.1.80.483","is_oa":false,"landing_page_url":"http://citeseerx.ist.psu.edu/viewdoc/summary?doi=10.1.1.80.483","pdf_url":null,"source":null,"license":null,"license_id":null,"version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"http://www.cs.umb.edu/~dsim/papersps/de.pdf","raw_type":"text"},{"id":"mag:2113446403","is_oa":false,"landing_page_url":"http://www.cs.umb.edu/~dsim/papersps/de.pdf","pdf_url":null,"source":{"id":"https://openalex.org/S58563349","display_name":"JUCS - Journal of Universal Computer Science","issn_l":"0948-695X","issn":["0948-695X","0948-6968"],"is_oa":false,"is_in_doaj":true,"is_core":true,"host_organization":"https://openalex.org/P4310317875","host_organization_name":"Verlag der Technischen Universit\u00e4t Graz","host_organization_lineage":["https://openalex.org/P4310317875"],"host_organization_lineage_names":["Verlag der Technischen Universit\u00e4t Graz"],"type":"journal"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":"JUCS - Journal of Universal Computer Science","raw_type":null},{"id":"doi:10.3217/jucs-013-11-1767","is_oa":true,"landing_page_url":"https://doi.org/10.3217/jucs-013-11-1767","pdf_url":null,"source":{"id":"https://openalex.org/S4306400660","display_name":"TUGraz OPEN Library (Graz University of Technology)","issn_l":null,"issn":null,"is_oa":false,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I4092182","host_organization_name":"Graz University of Technology","host_organization_lineage":["https://openalex.org/I4092182"],"host_organization_lineage_names":[],"type":"repository"},"license":null,"license_id":null,"version":null,"is_accepted":false,"is_published":null,"raw_source_name":null,"raw_type":"article"}],"best_oa_location":{"id":"pmh:oai:zenodo.org:7000008","is_oa":true,"landing_page_url":"https://zenodo.org/record/7000008","pdf_url":"https://zenodo.org/record/7000008","source":{"id":"https://openalex.org/S4306400562","display_name":"Zenodo (CERN European Organization for Nuclear Research)","issn_l":null,"issn":null,"is_oa":true,"is_in_doaj":false,"is_core":false,"host_organization":"https://openalex.org/I67311998","host_organization_name":"European Organization for Nuclear Research","host_organization_lineage":["https://openalex.org/I67311998"],"host_organization_lineage_names":[],"type":"repository"},"license":"other-oa","license_id":"https://openalex.org/licenses/other-oa","version":"submittedVersion","is_accepted":false,"is_published":false,"raw_source_name":"JUCS - Journal of Universal Computer Science 13((11)) 1767-1778","raw_type":"info:eu-repo/semantics/article"},"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"grobid_xml":true,"pdf":true},"content_urls":{"pdf":"https://content.openalex.org/works/W2113446403.pdf","grobid_xml":"https://content.openalex.org/works/W2113446403.grobid-xml"},"referenced_works_count":9,"referenced_works":["https://openalex.org/W1500907847","https://openalex.org/W1505735174","https://openalex.org/W1642028014","https://openalex.org/W1895696520","https://openalex.org/W1994649935","https://openalex.org/W2048794842","https://openalex.org/W2099970571","https://openalex.org/W2102050491","https://openalex.org/W2104033145"],"related_works":["https://openalex.org/W2126771001","https://openalex.org/W2119527078","https://openalex.org/W1584243779","https://openalex.org/W2281543070","https://openalex.org/W1732245473","https://openalex.org/W2059440775","https://openalex.org/W3028795192","https://openalex.org/W2004826575","https://openalex.org/W2058080788","https://openalex.org/W2151180662","https://openalex.org/W2086890606","https://openalex.org/W2993206202","https://openalex.org/W3013288446","https://openalex.org/W1998788396","https://openalex.org/W3191274338","https://openalex.org/W3095508657","https://openalex.org/W2970482181","https://openalex.org/W2573012690","https://openalex.org/W2909144728","https://openalex.org/W2080359631"],"abstract_inverted_index":{"Abstract:":[0],"We":[1],"introduce":[2],"the":[3,17,34,47],"notion":[4],"of":[5,9,16,19,41,49],"\u2227-":[6],"and":[7,21,43,45],"\u2228-pairs":[8],"functions":[10],"on":[11],"lattices":[12],"as":[13],"an":[14],"abstraction":[15],"notions":[18],"metric":[20],"its":[22],"related":[23],"entropy":[24],"for":[25],"probability":[26],"distributions.":[27],"This":[28],"approach":[29],"allows":[30],"us":[31],"to":[32,53],"highlight":[33],"relationships":[35],"that":[36],"exist":[37],"between":[38],"various":[39],"properties":[40],"metrics":[42],"entropies":[44],"opens":[46],"possibility":[48],"extending":[50],"these":[51],"concepts":[52],"other":[54],"algebraic":[55],"structures.":[56]},"counts_by_year":[],"updated_date":"2026-03-20T23:20:44.827607","created_date":"2025-10-10T00:00:00"}