{"id":"https://openalex.org/W1597163382","doi":"https://doi.org/10.3233/fi-1997-313405","title":"Modal Logics for Local and Global Similarity Relations","display_name":"Modal Logics for Local and Global Similarity Relations","publication_year":1997,"publication_date":"1997-01-01","ids":{"openalex":"https://openalex.org/W1597163382","doi":"https://doi.org/10.3233/fi-1997-313405","mag":"1597163382"},"language":"en","primary_location":{"id":"doi:10.3233/fi-1997-313405","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-1997-313405","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","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/A5088518414","display_name":"Ana Deneva","orcid":null},"institutions":[{"id":"https://openalex.org/I58918642","display_name":"Sofia University \"St. Kliment Ohridski\"","ror":"https://ror.org/02jv3k292","country_code":"BG","type":"education","lineage":["https://openalex.org/I58918642"]}],"countries":["BG"],"is_corresponding":false,"raw_author_name":"Ana Deneva","raw_affiliation_strings":["Department of Mathematical Logic with Laboratory for Applied Logic, Faculty of Mathematics and Computer Science, Sofia University, boul James Bouchier 5, 1126 Sofia, Bulgaria e-mail dvak@fmi.uni-sofia.bg","Department of Mathematical Logic with Laboratory for Applied Logic, Faculty of Mathematics and Computer Science, Sofia University, boul James Bouchier 5, 1126 Sofia, Bulgaria e-mail dvak@fmi.uni-s ...#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Logic with Laboratory for Applied Logic, Faculty of Mathematics and Computer Science, Sofia University, boul James Bouchier 5, 1126 Sofia, Bulgaria e-mail dvak@fmi.uni-sofia.bg","institution_ids":["https://openalex.org/I58918642"]},{"raw_affiliation_string":"Department of Mathematical Logic with Laboratory for Applied Logic, Faculty of Mathematics and Computer Science, Sofia University, boul James Bouchier 5, 1126 Sofia, Bulgaria e-mail dvak@fmi.uni-s ...#TAB#","institution_ids":["https://openalex.org/I58918642"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5076246494","display_name":"Dimiter Vakarelov","orcid":null},"institutions":[{"id":"https://openalex.org/I58918642","display_name":"Sofia University \"St. Kliment Ohridski\"","ror":"https://ror.org/02jv3k292","country_code":"BG","type":"education","lineage":["https://openalex.org/I58918642"]}],"countries":["BG"],"is_corresponding":false,"raw_author_name":"Dimiter Vakarelov","raw_affiliation_strings":["Department of Mathematical Logic with Laboratory for Applied Logic, Faculty of Mathematics and Computer Science, Sofia University, boul James Bouchier 5, 1126 Sofia, Bulgaria e-mail dvak@fmi.uni-sofia.bg","Department of Mathematical Logic with Laboratory for Applied Logic, Faculty of Mathematics and Computer Science, Sofia University, boul James Bouchier 5, 1126 Sofia, Bulgaria e-mail dvak@fmi.uni-s ...#TAB#"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Mathematical Logic with Laboratory for Applied Logic, Faculty of Mathematics and Computer Science, Sofia University, boul James Bouchier 5, 1126 Sofia, Bulgaria e-mail dvak@fmi.uni-sofia.bg","institution_ids":["https://openalex.org/I58918642"]},{"raw_affiliation_string":"Department of Mathematical Logic with Laboratory for Applied Logic, Faculty of Mathematics and Computer Science, Sofia University, boul James Bouchier 5, 1126 Sofia, Bulgaria e-mail dvak@fmi.uni-s ...#TAB#","institution_ids":["https://openalex.org/I58918642"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":[],"corresponding_institution_ids":["https://openalex.org/I58918642"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":7,"citation_normalized_percentile":{"value":0.0826741,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":94},"biblio":{"volume":"31","issue":"3-4","first_page":"295","last_page":"304"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9965999722480774,"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/T11010","display_name":"Logic, Reasoning, and Knowledge","score":0.9965999722480774,"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/T10456","display_name":"Multi-Agent Systems and Negotiation","score":0.9833999872207642,"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/T10215","display_name":"Semantic Web and Ontologies","score":0.9696000218391418,"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"}}],"keywords":[{"id":"https://openalex.org/keywords/similarity","display_name":"Similarity (geometry)","score":0.8664551973342896},{"id":"https://openalex.org/keywords/property","display_name":"Property (philosophy)","score":0.7176942229270935},{"id":"https://openalex.org/keywords/object","display_name":"Object (grammar)","score":0.6104133129119873},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.6081494092941284},{"id":"https://openalex.org/keywords/relation","display_name":"Relation (database)","score":0.5829764008522034},{"id":"https://openalex.org/keywords/set","display_name":"Set (abstract data type)","score":0.5804839730262756},{"id":"https://openalex.org/keywords/existential-quantification","display_name":"Existential quantification","score":0.4538111686706543},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.35959118604660034},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.31070399284362793},{"id":"https://openalex.org/keywords/computer-science","display_name":"Computer science","score":0.28449660539627075},{"id":"https://openalex.org/keywords/artificial-intelligence","display_name":"Artificial intelligence","score":0.24829185009002686},{"id":"https://openalex.org/keywords/epistemology","display_name":"Epistemology","score":0.2045080065727234},{"id":"https://openalex.org/keywords/data-mining","display_name":"Data mining","score":0.12906530499458313},{"id":"https://openalex.org/keywords/image","display_name":"Image (mathematics)","score":0.10576564073562622},{"id":"https://openalex.org/keywords/philosophy","display_name":"Philosophy","score":0.10090401768684387}],"concepts":[{"id":"https://openalex.org/C103278499","wikidata":"https://www.wikidata.org/wiki/Q254465","display_name":"Similarity (geometry)","level":3,"score":0.8664551973342896},{"id":"https://openalex.org/C189950617","wikidata":"https://www.wikidata.org/wiki/Q937228","display_name":"Property (philosophy)","level":2,"score":0.7176942229270935},{"id":"https://openalex.org/C2781238097","wikidata":"https://www.wikidata.org/wiki/Q175026","display_name":"Object (grammar)","level":2,"score":0.6104133129119873},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.6081494092941284},{"id":"https://openalex.org/C25343380","wikidata":"https://www.wikidata.org/wiki/Q277521","display_name":"Relation (database)","level":2,"score":0.5829764008522034},{"id":"https://openalex.org/C177264268","wikidata":"https://www.wikidata.org/wiki/Q1514741","display_name":"Set (abstract data type)","level":2,"score":0.5804839730262756},{"id":"https://openalex.org/C136979486","wikidata":"https://www.wikidata.org/wiki/Q773483","display_name":"Existential quantification","level":2,"score":0.4538111686706543},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.35959118604660034},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.31070399284362793},{"id":"https://openalex.org/C41008148","wikidata":"https://www.wikidata.org/wiki/Q21198","display_name":"Computer science","level":0,"score":0.28449660539627075},{"id":"https://openalex.org/C154945302","wikidata":"https://www.wikidata.org/wiki/Q11660","display_name":"Artificial intelligence","level":1,"score":0.24829185009002686},{"id":"https://openalex.org/C111472728","wikidata":"https://www.wikidata.org/wiki/Q9471","display_name":"Epistemology","level":1,"score":0.2045080065727234},{"id":"https://openalex.org/C124101348","wikidata":"https://www.wikidata.org/wiki/Q172491","display_name":"Data mining","level":1,"score":0.12906530499458313},{"id":"https://openalex.org/C115961682","wikidata":"https://www.wikidata.org/wiki/Q860623","display_name":"Image (mathematics)","level":2,"score":0.10576564073562622},{"id":"https://openalex.org/C138885662","wikidata":"https://www.wikidata.org/wiki/Q5891","display_name":"Philosophy","level":0,"score":0.10090401768684387},{"id":"https://openalex.org/C199360897","wikidata":"https://www.wikidata.org/wiki/Q9143","display_name":"Programming language","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.3233/fi-1997-313405","is_oa":false,"landing_page_url":"https://doi.org/10.3233/fi-1997-313405","pdf_url":null,"source":{"id":"https://openalex.org/S39012697","display_name":"Fundamenta Informaticae","issn_l":"0169-2968","issn":["0169-2968","1875-8681"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310318577","host_organization_name":"IOS Press","host_organization_lineage":["https://openalex.org/P4310318577"],"host_organization_lineage_names":["IOS Press"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Fundamenta Informaticae","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":0,"referenced_works":[],"related_works":["https://openalex.org/W2362939901","https://openalex.org/W2734554632","https://openalex.org/W2379200451","https://openalex.org/W2356257939","https://openalex.org/W2388752977","https://openalex.org/W4254623023","https://openalex.org/W2058182359","https://openalex.org/W4319995445","https://openalex.org/W4235055996","https://openalex.org/W4242979089"],"abstract_inverted_index":{"In":[0,120,155,225],"the":[1,72,106,132,138,150,156,166,202,235,279,364,368,372,377],"everyday":[2],"language":[3],"we":[4,20,31,86,93,103,135,145,197,359],"very":[5],"often":[6],"say":[7,87,104,199,360],"that":[8,88,95,105,186,201,255,361],"some":[9,15,22],"object":[10,17,333],"x":[11,161,192,230,261,334,352,362],"is":[12,42,63,81,108,126,188,204,257,276,293,301,312,324],"similar":[13,109,205],"to":[14,26,33,43,53,110,147,206,268,277,331],"other":[16],"y.":[18,264],"If":[19],"want":[21,146],"real":[23],"AI":[24],"systems":[25],"deal":[27],"with":[28],"this":[29,40,122,218,226],"notion":[30,151,280],"have":[32,97,117],"make":[34],"it":[35],"exact.":[36],"The":[37,61,265,344],"aim":[38],"of":[39,47,66,71,115,124,140,152,168,182,220,237,251,273,281,342,346,351,371],"paper":[41,62,134],"analyze":[44],"several":[45],"kinds":[46,272],"similarity":[48,79,125,129,171,221,240,274,374,381],"relations":[49,80,275,375],"between":[50],"objects":[51,90,160,229],"and":[52,77,162,193,231,322,353,391],"introduce":[54,148],"modal":[55],"logics":[56],"for":[57],"reasoning":[58],"about":[59],"similarity.":[60,154],"a":[64,69,98,175,179,244,248,295,302,313,325,335],"continuation":[65],"[3],":[67],"where":[68],"characterization":[70],"so":[73],"called":[74,127,294,309,320,327,340,349],"there":[75,173,242],"positive":[76,128,142,170,380],"negative":[78,223,239],"given.":[82],"Very":[83],"often,":[84],"when":[85],"two":[89,159,228,271],"are":[91,164,212,233,308,319,348,376],"similar,":[92],"mean":[94],"they":[96,210],"common":[99],"property.":[100],"For":[101],"instance,":[102],"son":[107,203],"his":[111,207],"father,":[112,208],"because":[113,144,209],"both":[114,190,211],"them":[116],"blue":[118],"eyes.":[119],"[3]":[121],"kind":[123,219],"but":[130],"in":[131,165,234,285],"present":[133],"will":[136,216],"use":[137,278],"name":[139],"\u201clocal":[141,222],"similarity\u201d,":[143],"also":[149,200],"global":[153],"above":[157,373],"sense":[158,227],"y":[163,194,232],"relation":[167,236],"local":[169,238],"if":[172,241,299,354],"exists":[174,243],"property":[176,245,296,365],"A":[177,187,246,256,355,392],"from":[178,247],"given":[180,249,284],"set":[181,250,336],"properties":[183,252,350],"Pr,":[184,253,291,339],"such":[185,254],"possessed":[189,258],"by":[191,260,263],".":[195],"But":[196],"can":[198],"not":[213],"smokers.":[214],"We":[215],"call":[217],"similarity\u201d.":[224],"neither":[259],"nor":[262],"simplest":[266],"way":[267],"formalize":[269],"these":[270],"Property":[282],"system,":[283],"[3].":[286],"Namely,":[287],"S":[288],"=":[289],"(Ob,":[290],"f)":[292],"system":[297],"(P-system)":[298],"Ob":[300],"non":[303,314],"empty":[304,315],"set,":[305,316],"whose":[306,317],"elements":[307,318,345],"objects,":[310],"Pr":[311],"properties,":[321],"f":[323],"function,":[326,329],"information":[328,341],"assigning":[330],"each":[332],"f(x)":[337,347,357,390,396],"\u2286":[338],"x.":[343],"\u2208":[356,386,389,393],",":[358],"possesses":[363],"A.":[366],"Now":[367],"formal":[369],"definitions":[370],"following:":[378],"Local":[379],"\u2014":[382],"x\u03a30y":[383],"iff":[384,395],"(\u2203A":[385],"Pr)":[387],"(A":[388],"f(y))":[394],"\u2229":[397],"f(y)":[398],"6=":[399],"\u2205,":[400]},"counts_by_year":[{"year":2012,"cited_by_count":1}],"updated_date":"2026-05-02T06:04:40.494371","created_date":"2025-10-10T00:00:00"}
